CA NOTES ON FOREX PRACTICALS OF STRATEGIC FINANCIAL MODELING

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Forex
Years May Nov
RTP Paper RTP Paper
2008 NA NA Yes Yes
2009 Yes YES Yes Yes
2010 Yes YES Yes Yes
2011 Yes N0 Yes Yes
2012 Yes Yes Yes Yes
2018 (Old) Yes Yes Yes Yes
2018 (New) Yes Yes Yes Yes
2008
Question 1 : Nov 2008 RTP
(a) On 1st July 2008, 3 months interest rate in the US and Germany are 6.5
per cent and 4.5 per cent per annum respectively. The $/DM spot rate is
0.6560. What would be the forward rate for DM for delivery on 30th
September 2008?
(b) In International Monetary Market an international forward bid on
December, 15 for one Euro (€) is $ 1.2816 at the same time the price of
IMM € future for delivery on December, 15 is $ 1.2806. The contract size
of Euro is € 62,500. How could the dealer use arbitrage in profit from
this situation and how much profit is earned?
Solution
(a) USD DM
Spot 0.6560 1.000
Interest rate p.a. 6.5% 4.5%
Interest for 92 days 1.625% 1.125%
According to IRP (Interest Rate Parity)
F
S =
1 + iA
1 + iB
F
0.6560 =
101625
1.01125
therefore F =
0.6560 x 1.01625
1.01125 = 0.6592
(b) Buy€ 62500 × 1.2806 = $ 80037.50
Sell€ 62500 × 1.2816 = $ 80100.00
Profit $ 62.50
Alternatively if the market comes back together before December 15, the
dealer could unwind his position (by simultaneously buying € 62,500 forward

254 SFM - COMPILER
and selling a futures contract. Both for delivery on December 15) and earn the
same profit of $ 62.50.
Question 2 : Nov 2008 RTP
XYZ Ltd. is considering a project in Luxemburg, which will involve an
initial investment of € 1,30,00,000. The project will have 5 years of life.
Current spot exchange rate is Rs.58 per €. The risk free rate in Germany is 8%
and the same in India is 12%. Cash inflow from the project are as follows:
Year Cash inflow
1 €30,00,000
2 €25,00,000
3 €35,00,000
4 €40,00,000
5 €60,00,000
Calculate the NPV of the project using foreign currency approach.
Required rate of return on this project is 14%.
Solution
(1 + 0.12) (1 + Risk Premium) = (1 + 0.14)
Or, 1 + Risk Premium = 1.14/1.12 = 1.0179
Therefore, Risk adjusted dollar rate is = 1.0179 x 1.08 = 1.099 – 1 = 0.099
Calculation of NPV
Year Cash flow (Million) € PV Factor at 9.9% PV
13.00 0.910 2.73
2 2.50 0.828 2.070
3 3.50 0.753 2.636
4 4.00 0.686 2.744
5 6.00 0.624 3.744
13.924
Less: Investment 13.000
NPV 0.924
Therefore, Rupee NPV of the project is = Rs.(58 x 0.924) Million
= Rs.53.592 Million
Question 3: Nov 2008 RTP
In March, 2008, the Zed Pro Industries makes the following assessment
of dollar rates per British pound to prevail as on 1.9.2008:
$/Pound Probability
1.60 0.15
1.70 0.20
1.80 0.25
1.90 0.20
2.00 0.20

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(i) What is the expected spot rate for 1.9.2008?
(ii) If, as of March, 2008, the 6-month forward rate is $ 1.80, should the firm
sell forward its pound receivables due in September, 2008?
Solution
(i) Calculation of expected spot rate for September, 2008:
$ for £ Probability Expected$/£
(1) (2) (1) × (2) = (3)
1.60 0.15 0.24
1.70 0.20 0.34
1.80 0.25 0.45
1.90 0.20 0.38
2.00 0.20 0.40
1.00 EV =1.81
Therefore, the expected spot value of $ for £ for September, 2008 would
be $ 1.81.
(ii) If the six-months forward rate is $ 1.80, the expected profits of the firm
can be maximised by retaining its pounds receivable.
On July 28, 2008 Unicon (an importer) requested a bank to remit Singapore
Dollar (SGD) 2,50,000 under an irrevocable LC. However, due to bank
strikes, the bank could effect the remittance only on August 4, 2008. The
interbank market rates were as follows:
July, 28 August 4
Bombay US$1 = Rs.45.85/45.90 45.91/45.97
London Pound 1 = US$ 1.7840/1.7850 1.7765/1.7775
Pound 1 = SGD 3.1575/3.1590 3.1380/3.1390
The bank wishes to retain an exchange margin of 0.125%. How much
does the customer stand to gain or lose due to the delay?
Solution
On July 28, 2008 the importer customer requested to remit SGD 2,50,000.
To consider sell rate for the bank:
US $ = Rs.45.90
Pound 1 = US$ 1.7850
Pound 1 = SGD 3.1575
Therefore, SGD 1 =
`45.90 x $1.7850
SGD 3.1575
SGD 1 = Rs.25.9482
Add: Exchange margin (0.125%) Rs. 0.0324
Rs.25.9806

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On August 4, 2008 the rates are
US $ = Rs.45.97
Pound 1 = US$ 1.7775
Therefore, SGD 1 =
`45.97 x $1.7775
SGD 3.1380
SGD 1 = Rs.26.0394
Rs. 26.0719
Hence, loss to the importer
= SGD 2,50,000 (Rs.26.0719 – Rs.25.9806)
= Rs.22,825
An Indian company is planning to set up a subsidiary in US. The initial
project cost is estimated to be US $40 million; Working Capital required is
estimated to be $4 million.
The finance manager of company estimated the data as follows:
Variable Cost of Production (Per Unit Sold) $2.50
Fixed cost per annum $ 3 Million
Selling Price $ 10
Production capacity 5 million units
Expected life of Plant 5 years
Method of Depreciation Straight Line Method (SLM)
Salvage Value at the end of 5 years NIL
The subsidiary of the Indian company is subject to 40% corporate tax
rate in the US and the required rate of return of such types of project is 12%.
The current exchange rate is Rs.48/US$ and the rupee is expected to
depreciate by 3% per annum for next five years.
The subsidiary company shall be allowed to repatriate 70% of the CFAT
every year along with the accumulated arrears of blocked funds at the end of 5
years, the withholding taxes are 10%. The blocked fund will be invested in the
USA money market by the subsidiary, earning 4% (free of taxes) per year.
Determine the feasibility of having a subsidiary company in the USA,
assuming no tax liability in India on earnings received by the parent company
from the US subsidiary.
Solution
Working Notes:
(1) Cash Outflow (Initial) (Figures in Million)
Cost of Plant & Machinery $40
Working Capital Requirement $4
Cash outflow in Rs.(Millions) $44
Cash outflow in Rs.(Millions) 2112

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(2) Annual Cash Inflow Sales Revenue (5 Million X $10) 50.00
Less: Costs Variable Cost (5 Million units × $2.5) $12.5
Fixed Cost $3
Depreciation ($40 Million/ 5year) $8 23.50
Earning before tax 26.50
Less: Taxes (40%) 10.60
Earning after tax 15.90
Add:Back Depreciation 8.00
Cash Flows 23.90
(3) Terminal year Cash Flows
Release of Working Capital $4 Million
Salvage Value Nil
$4 Million
(4) Calculation of exchange Rate over a period of 5 years.
Year Expected Rate
0 = 48.00
1 48 x
103
100 = 49.44
2 49.44 x
103
100 = 50.9232
3 50.9232 x
103
100 = 52.4509
4 52.4509 x
103
100 = 54.0244
5 54.0244 x
103
100 = 55.6451
(5) Calculation of Repatriable /Accessible Funds
Period Particulars Millions$
1-4 years Operating Cash Flow After Tax 23.90
Less: Retention 7.17
Repatriable amount 16.73
Less: Withholding Tax 1.673
Accessable Funds 15.057
5 year Operating Cash Flow After Tax 23.90
Less: Withholding Tax 2.39
21.51
Add:Repatriation of Blocked Funds* 27.40
Accessible Funds 48.91
*Future Value of Blocked Funds of $7.17 Million
shall be computed as follows:
Value of Funds blocked from year 1-4 7.17 M$

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PV AF (4%, 4) 4.246
Value of Funds at end 30.4438 M$
Withholding Tax 3.0444 M$
27.3994 M$
Statement Showing Net Present Value of the Project
Period Particulars Cash Flow
US$ Exchange
Rate
Rs. PV@12% PV
0 Initial Outflow 44 48 (2112) 1 (2112)
1 Annual Cash Flow 15.057 49.44 744.42 0.893 664.77
2 “ 15.057 50.9232 766.75 0.797 611.10
3 “ 15.057 52.4509 789.75 0.712 562.30
4 “ 15.057 54.0244 813.45 0.636 517.35
5 “ 48.91 55.6451 2721.60 0.567 1543.15
6 Release of WC 4.00 55.6451 222.58 0.567 126.20
1912.87
Decision : Since NPV of the project is positive, the Indian Company should
go for its decision of subsidiary in US.
Question 6: Nov 2008 Paper – 6 Marks
An exporter is a UK based company. Invoice amount is $3,50,000. Credit
period is three months. Exchange rates in London are :
Spot Rate ($/£) 1.5865 – 1.5905
3-month Forward Rate ($/£) 1.6100 – 1.6140
Rates of interest in Money Market :
Deposit Loan
$ 7% 9%
£ 5% 8%
Compute and show how a money market hedge can be put in place.
Compare and contrast the outcome with a forward contract.
Solution
An Uk firm can hedge its exposure by Money Market Operations
UK Firm - $ 3,50,000 receivable after 3 months
MMC ( Borrow – sell – invest )
Step 1 : Borrow $ so that amt payable is $ 3,50,000 after 3 months @9%
P.A i.e 2.25% per quarter
Amount to be borrowed: 3,50,000 / 1.0225 = $ 3,42,298.29
Step 2 : Convert: Sell $ and buy £. The relevant rate is the Ask rate, namely,
1.5905 per £,
(Note: This is an indirect quote).

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Amount of £s received on conversion is 2,15,214.27 (3,42,298.29 / 1.5905).
Step 3 : Invest: £ 2,15,214.27 will be invested at 5% for 3 months
Amount receivable after 3 months £ 2,17,904.45
Question 7 : Nov 2008 Paper – 6 Marks
An Indian exporting firm, Rohit and Bros., would be cover itself against a
likely depreciation of pound sterling. The following data is given :
Receivables of Rohit and Bros : £500,000
Spot rate : Rs.56,00/£
Payment date : 3-months
3 months interest rate : India : 12 per cent per annum
: UK : 5 per cent per annum
What should the exporter do?
Solution
Indian exporter can hedge his exposure through money Market Operation
Indian exporter - £ 5,00,000 receivable after 3 months
MMC (Borrow – sell – invest)
Step 1 : Borrow £ so that amt payable is £ 5,00,000 after 3 months
Amount to be Borrowed =
5,00,000
1.0125 = £ 4,93,827.1605
Step 2 : Sell Rs.493827.1605 at spot Rs./ £ 56
Amt receivable = 493827.1605 x 56 = Rs.2,76,54,320.988
Step 3 : Invest Rs.2,76,54,320.988 for 3 months
Amount Receivable = 2,76,54,320.988 *1.03= Rs.2,84,83,950.6176
The rate of inflation in USA is likely to be 3% per annum and in India it is
likely to be 6.5%. The current spot rate of US $ in India is Rs..43.40. Find the
expected rate of US $ in India after one year and 3 years from now using
purchasing power parity theory.
Solution
According to Purchasing Power Parity theory
F
S =
1 + iA
1 + iB
Where F = Forward Rate
S = Spot Rate
iA = Rs.inflation Rate and
iB = $ Inflation Rate
After 1 Year
F
42.40 =
1 + 0.065
1 + 0.03 therefore F = Rs.44.8751
After 3 Years
F = 42.40 x
1.065
1.03 x
1.065
1.03 x
1.065
1.03 = Rs.47.9762

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On April 1, 3 months interest rate in the UK £ and US $ are 7.5% and 3.5%
per annum respectively. The UK £/US $ spot rate is 0.7570. What would be
the forward rate for US $ for delivery on 30th June ?
Solution
According to Interest Rate Parity theory
F
S =
1 + iA
1 + iB
S = Spot Rate
iA = £ Interest Rate for 3 months
= 7.5% P.A i.e 1.875% for 3 months
iB = $ Interest Rate for 3 months
= 3.5% P.A i.e 0.875% for 3 months
After 3 months
F
0.7570 =
1 + 0.01875
1 + 0.00875 , therefore F = 0.7645 UK £/US $
2009
Question 10 : May 2009 RTP
An MNC company in USA has surplus funds to the tune of $ 10 million for six
months. The Finance Director of the company is interested in investing in
DM for higher returns. There is a Double Tax Avoidance Agreement (DTAA)
in force between USA and Germany. The company received the following
information from London:
€/$ Spot 0.4040/41
6 months forward 67/65
Rate of interest for 6 months (p.a.) 5.95%– 6.15%
Withholding tax applicable for interest income 22%
Tax as per DTAA 10%
If the company invests in £,what is the gain for the company?
Solution
$ 10 million converted @ € 0.4040/$ = $10,000,000 × 0.4040 = €4,040,000
and invested @ 5.95% for6 months in Luxemburg will fetch :
€ 4,040,000 (1+ 0.0595/2) = € 4,160,190
Interest earned =€(4,160,190 – 4,040,000) = € 120,190
Withholding Tax @ 10% (in view of DTAA) = € 12,019
Net interest eligible for repatriation = € 108,171
Amount repatriated after 6 months=€ 108,171 + € 4,040,000 = € 4,148,171
Amount received at the forward rate of € 0.3976/$ =€4,148,171/0.3976 =
10,433,026
Additional amount fetched =$10,433,026-$10,000,000 = $ 433,026.

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BC Export Co are holding an Export bill in United States Dollar (USD)
1,00,000 due 60 days hence. Rate at which deal was finalized @ Rs.47.50 per
USD. The Company is worried about the fluctuating exchange rate. The
Firm’s Bankers have agreed to make advance against the bill after deduction
of interest 9% per annum and also quoted a 60- day forward rate of Rs.48.10.
The cost of capital for the exporter is 15% p.a. Advise whether the exporter
will agree to the banker’s offer.
Solution
Rs.
Value of the export in INR
Interest @ 1.5% for 60 days
Net Amount to be received
Cost of the fund @ 15% p.a for 2 months
Net Saving ( cost of fund– interest )
Difference to be paid after 60 days at forward rate
(48.10– 47.50) x 1,00,000
47,50,000
71,250
46,78,750
1,42,362
71,112
60,000
Hence the exporter should agree to the offer of his banker.
Spot rate 1 US $ = Rs.47.7123
180 days Forward rate for 1 US $ = Rs.48.6690
Interest rate in India = 12% p.a
Interest rate in USA = 8% p.a
An arbitrageur takes loan of Rs. 40,00,000 from Indian Bank for 6
months and goes for arbitrage. What is his gain or loss? (Take 1 year = 360
days)
Solution
Amount he receives in dollar =40,00,000/47.7123
Interest earned by him @ 8%
Net Amount received by him after six months
After conversion he will receive in Rupees @ Rs.48.6690
Amount to be paid to Indian Banker with interest for six
months
Gain to the arbitrageur
$ 83,835.82
$ 33,53.43
$ 87,189.25
Rs.42,43,414
Rs.42,40,000
Rs.3,414
Question 13 : May 2009 RTP – Similar to Question 4 – Nov 2008
RTP
Question 14: May 2009 Paper – 6 Marks
Your forex dealer had entered into a cross currency deal and had sold US
$ 10,00,000 against EURO at US $ 1 = EUR 1.4400 for spot delivery.
However, later during the day, the market became volatile and the dealer
in compliance with his management’s guidelines had to square – up the
position when the quotations were:
Spot US $ 1 INR 31.4300/4500

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1 month margin 25/20
2 months margin 45/35
Spot US $ 1 EURO 1.4400/4450
1 month forward 1.4425/4490
2 months forward 1.4460/4530
What will be the gain or loss in the transaction?
Solution
1 The amount of EUR bought by selling
USD 10,00,000 * 1.4400 = EUR 14,40,000
2 The amount of EUR sold for buying
USD 10,00,000 * 1.4450 = EUR 14,45,000
3 Net Loss in the Transaction = EUR 5,000
To acquire EUR 5,000 from the market @
(a) USD 1 = EUR 1.4400 &
(b) USD1 = INR 31.4500
Cross Currency buying rate of EUR/INR is
Rs.31.4500 / 1.440 i.e. Rs.21.8403
Loss in the Transaction Rs.21.8403 * 5000 = Rs.1,09,201.50
Question 15: May 2009 Paper
You have following quotes from Bank A and Bank B:
Bank A Bank B
SPOT USD/CHF 1.4650/55 USD/CHF 1.4653/60
3 months 5/10
6 months 10/15
SPOT GBP/USD 1.7645/60 GBP/USD 1.7640/50
3 months 25/20
6 months 35/25
Calculate :
(i) How much minimum CHF amount you have to pay for 1 Million GBP
spot?
(ii) Considering the quotes from Bank A only, for GBP/CHF what are the
Implied Swap points for Spot over 3 months?
Solution
(i) To BUY 1 Million GBP Spot against CHF
1. First to BUY USD against CHF at the cheaper rate i.e. from Bank A.
1 USD = CHF 1.4655
2. Then to BUY GBP against USD at a cheaper rate i.e. from Bank B
1 GBP= USD 1.7650
By applying Cross Rate Buying rate would be
1 GBP = 1.7650 * 1.4655 CHF
1 GBP = CHF 2.5866
Amount payable CHF 2.5866 Million or CHF 25,86,600

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(ii) Spot rate Bid rate GBP 1 = CHF 1.4650 * 1.7645 = CHF 2.5850
Offer rate GBP 1 = CHF 1.4655 * 1.7660 = CHF 2.5881
GBP / USD 3 months swap points are at discount
Outright 3 Months forward rate GBP 1 = USD 1.7620 / 1.7640
USD / CHF 3 months swap points are at premium
Outright 3 Months forward rate USD 1 = CHF 1.4655 / 1.4665
Hence
Outright 3 Months forward rate GBP 1 = CHF 2.5822 / 2.5869
Spot rate GBP 1 =CHF2.5850 / 2.5881
Therefore 3 month swap points are at discount of 28/12
The current ¥/$ spot rate is 123.00. 6 month European calls with strike
0.0087 and 0.0083 ($/¥) are trading at premia of ¢ 0.015/¥ and ¢ 0.02/$
(cents per yen) respectively. A speculator is expecting a fairly strong
appreciation of the yen over the next six months. What option strategy should
he adopt to profit from this forecast? What is the breakeven rate? How much
is the maximum possible profit? Ignore brokerage fees and interest
costs/gains.
Solution
A limited risk speculative strategy would be the bullish call spread i.e.
buy the call with strike $0.0083 or 0.83 cents per yen and sell the call with
strike $0.0087 or 0.87cent per yen.
The initial investment would be (0.02-0.015) = 0.005 cent per yen. The
breakeven spot rate would be 0.83+0.005 = 0.8350 cent per yen.
Maximum profit potential would be (0.87-0.83)– (0.02-0.015) = 0.035 cent
per yen.
If the interest rate for the next 6 months for the US$ is 1.5% (annual
compounding). The interest rate for the € is 2% (annual compounding). The
spot price of the € is US $ 1.665. The forward price is expected to be US$
1.664. Please determine correct forward price and recommend an arbitrage
strategy.
Solution
F
S
=
1 + iA
1 + iB
S = Spot Rate
iA = $ Interest Rate for 6 months
= 1.5% for 6 months
iB = € Interest Rate for 6 months

264 SFM - COMPILER
= 2 % for 6 months
After 6 Months
F
1,000 =
1.015
1.02 , Therefore F = 1.6568
Because the forward price is higher than the model price, we will sell the
forward contract. If transaction costs could be covered, we would buy the € in
the spot market at $1.665 and sell it in the forward market at $1.664. We
would earn interest at the foreign interest rate of 2 percent. By selling it
forward, we could then convert back to dollars at the rate of $1.664. In other
words, $1.665 would be used to buy 1 unit of the €, which would grow to 1.02
units (the 2 percent € rate). Then 1.02 € would be converted back to
1.02($1.664) = $1.69728. This would be a return of $1.69728/$1.665 – 1 =
0.019387 or 1.94 percent, which is better than the US rate.
M/s Omega Electronics Ltd. Exports air conditioners to germany by
importing all the components from Singapore. The company is exporting
2,400 units at a price of Euro 500 per units. The cost of imported components
is S$ 800 per unit. The fixed cost and other variables cost per unit are Rs.
1,000 and
Rs. 1,500 respectively. The cash flow in foreign currencies are due in six
months. The current exchange rates are as follows :-
Rs./Euro 51.50/55
Rs./$ 27.20/25
After 6 months the exchange rates turn out as follows :
Rs./Euro 52.00/05
Rs./$ 27.70/75
1) You are required to calculate loss/gain due to transaction exposure.
2) Based on the following additional information calculate the loss/gain due
to transaction and operating exposure if the contracted price of air
conditioners is Rs. 25,000 :
a) The current exchange rate changes to :
Rs./Euro 51.75/80
Rs./$ 27.10/15
b) Price elasticity of demand is estimated to be 1.5
c) Payments and Receipts are to be settled at the end of six months.
Solution
(a) Profit at current exchange rates
2400[€500×S$51.50– (S$800 ×Rs. 27.25 +Rs. 1,000+ Rs. 1,500)]
2400[Rs..25,750- Rs. 24,300] = Rs. 34,80,000

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Profit after change in exchange rates
2400[€500× Rs. 52– (S$800× Rs. 27.75+ Rs. 1000+ Rs. 1500)]
2400[Rs. 26,000- Rs. 24,700] = Rs. 31,20,000
LOSS DUE TO TRANSACTION EXPOSURE
Rs. 34,80,000– Rs. 31,20,000= Rs. 3,60,000
Profit based on new exchange rates
2400[Rs. 25,000-(800× Rs. 27.15+ Rs. 1,000+ Rs. 1,500)]
2400[Rs. 25,000 - Rs. 24,220]= Rs. 18,72,000
Profit after change in exchange rates at the end of six months
2400[Rs. 25,000-(800×Rs. 27.75+ Rs. 1,000+ Rs. 1,500)]
2400[Rs. 25,000- Rs. 24,700]= Rs. 7,20,000
Decline in profit due to transaction exposure
Rs. 18,72,000- Rs. 7,20,000 = Rs. 11,52,000
Current price of each unit in S$ =
25,000
51.50 = S$ 485.44
Price after change in Exch. Rate=
25,000
51.75 = S$ 483.09
Change in Price due to change in Exch. Rate
S$ 485.44-S$ 483.09 = S$ 2.35 or (-) 0.48%
Price elasticity of demand = 1.5
Increase in demand due to fall in price 0.48×1.5 =0.72%
Size of increased order = 2400 ×1.0072 = 2417 units
Profit = 2417 [Rs. 25,000– (800 × Rs. 27.75 + Rs. 1,000 + Rs. 1,500)]
=2417[Rs. 25,000- Rs. 24,700]
= Rs. 7,25,100
Therefore, decrease in profit due to operating exposure
Rs. 18,72,000 – Rs. 7,25,100 = Rs.11,46,900
2010
Question 19: May 2010 RTP
On 30th June 2009 when a forward contract matured for execution you
are asked by an importer customer to extend the validity of the forward sale
contract for US$ 10,000 for a further period of three months.
Contracted Rate US$1 = Rs.41.87
The US Dollar quoted on 30.6.2009

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Spot Rs. 40.4800/Rs. 40.4900
Premium July 0.1100/0.1300
Premium August 0.2300/0.2500
Premium September 0.3500/0.3750
Calculate the cost for your customer in respect of the extension of the forward
contract. Rupee values to be rounded off to the nearest Rupee.
Margin 0.080% for Buying Rate
Margin 0.25% for Selling Rate
Solution
This extension of forward Contract involves following steps
1. Cancel the contract at TT buying rate.
2. Rebook the contract for three months at the current rate of exchange.
Accordingly
Step 1: Cancel the contract at TT buying rate on 30.6.2009
Rs.
Spot US$ 1 40.4800
Less:Margin 0.080% 0.0324
40.4476
Hence TT buying rate Rs. 40.45 (Rounded off)
US$ 10,000 @ Rs. 40.45 Rs. 4,04,500/-
US$ 10,000@ Rs. 41.87 Rs. 4,18,700/-
Difference in favour of the bank Rs. 14,200/-.
Step 2: New contract to be booked at the appropriate forward rate.
Three months forward rate is as under:
US$ 1 Rs. 40.4900 Spot Selling
Add : September Premium Rs. 0.3750
Rs. 40.8650
Add: Margin (0.25%) Rs. 0.1022
Rs. 40.9672
Forward rate to be quoted to the customer is US$ 1 = Rs.40.97
Thus cost to customer Rs.14,200/-.
Wenden Co is a Dutch-based company which has the following expected
transactions.
One month: Expected receipt of £2,40,000

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One month: Expected payment of £1,40,000
Three months: Expected receipts of £3,00,000
The finance manager has collected the following information:
Spot rate (£ per €): 1.7820 ± 0.0002
One month forward rate (£ per €): 1.7829 ± 0.0003
Three months forward rate (£ per €): 1.7846 ± 0.0004
Money market rates for Wenden Co:
Borrowing Deposit
One year Euro interest rate: 4.9% 4.6
One year Sterling interest rate: 5.4% 5.1
Assume that it is now 1 April.
Required:
(a) Calculate the expected Euro receipts in one month and in three months
using the forward market.
(b) Calculate the expected Euro receipts in three months using a money-
market hedge and recommend whether a forward market hedge or a
money market hedge should be used.
Solution
(a) Forward market evaluation
Net receipt in 1 month = £2,40,000 – £1,40,000 = £1,00,000
Wenden Co needs to sell Sterlings at an exchange rate of (1.7829 + 0.0003)
=£1.7832per €
Euro value of net receipt = 1,00,000/ 1.7832 =€56,079
Receipt in 3 months = £3,00,000
Wenden Co needs to sell Sterlings at an exchange rate of 1.7846 + 0.0004
=£1.7850per €
Euro value of receipt in 3 months = 3,00,000/ 1.7850 =€1,68,067
(b) Evaluation of money-market hedge (Borrow – Sell – Invest)
Expected receipt after 3 months = £300,000
Step 1 : Borrow
Sterling interest rate over three months = 5.4/ 4 = 1.35%
Sterlings to borrow now to have £300,000 liability
after 3 months = 300,000/ 1.0135 = £296,004
Step 2 : Sell
Spot rate for selling Sterling = 1.7820 + 0.0002 = £1.7822 per€
Euro deposit from borrowed Sterling at spot = 296,004/ 1.7822 = €166,089
Step 3 : Invest
Euro interest rate over three months = 4.6/ 4 = 1.15%
Value in 3 months of Euro deposit = 166,089 x 1.0115 = €167,999

268 SFM - COMPILER
The forward market is marginally preferable to the money market hedge for the
Sterling receipt expected after 3 months.
CQS plc is a UK company that sells goods solely within UK. CQS plc has
recently tried a foreign supplier in Netherland for the first time and need to
pay €250,000 to the supplier in six months’ time. You as financial manager
are concerned that the cost of these supplies may rise in Pound Sterling terms
and has decided to hedge the currency risk of this account payable. The
following information has been provided by the company’s bank:
Spot rate (€ per £) : 1·998 ± 0·002
Six months forward rate (€ per £) : 1·979 ± 0·004
Money market rates available to CQS plc:
Borrowing Deposit
One year Pound Sterling interest rates : 6·1% 5·4%
One year Euro interest rates : 4·0% 3·5%
Assuming CQS plc has no surplus cash at the present time you are required to
evaluate whether a money market hedge, a forward market hedge or a lead
payment should be used to hedge the foreign account payable.
Solution
Money market hedge (Invest – Buy – Borrow)
CQS plc should place sufficient Euros on deposit now so that, with
accumulated interest, the six-month liability of €250,000 can be met. Since
the company has no surplus cash at the present time, the cost of these Euros
must be met by a short-term Pound Sterling loan.
Step 1 : Invest
Six-month Euro deposit rate = 3·5/2 = 1·75%
Euros deposited now = 250,000/1·0175 =€ 2,45,700
Step 2 : Sell
Current spot selling rate =€ 1·998– 0·002 =€1·996 per£
Cost of these Euros at spot = 245,700/1·996 = £ 1,23,096
Step 3 : Borrow
Six-month Pound Sterling borrowing rate = 6·1/2 = 3·05%
Pound Sterling value of loan in six months’ time
= 123,096 x 1·0305 = £ 1,26,850
Forward market hedge (Buy FC Forward)
Six months forward selling rate =€ 1·979–€ 0·004 =€ 1·975 per £
Pound Sterling cost using forward market hedge
= € 2,50,000/1·975 = £ 1,26,582
Lead payment
Since the Euro is appreciating against the Pound Sterling,
a lead payment may be worthwhile.
Pound Sterling cost now =€ 2,50,000/1·996 = £ 1,25,251
This cost must be met by a short-term loan at a six-month interest rate of
3·05%
Pound Sterling value of loan in six months’ time

269
SFM - COMPILER
= £ 1,25,251 x 1·0305 = £1,29,071
Evaluation of hedges The relative costs of the three hedges can be
compared since they have been referenced to the same point in time, i.e. six
months in the future. The most expensive hedge is the lead payment, while
the cheapest is the forward market hedge. Using the forward market to hedge
the account payable currency risk can therefore be recommended
OJ Ltd. Is a supplier of leather goods to retailers in the UK and other
Western European countries. The company is considering entering into a
joint venture with a manufacturer in South America. The two companies will
each own 50 per cent of the limited liability company JV(SA) and will share
profits equally . £ 450,000 of the initial capital is being provided by OJ Ltd.
and the equivalent in South American dollars (SA$) is being provided by the
foreign partner. The managers of the joint venture expect the following net
operating cash flows, which are in nominal terms:
SA$ 000 Forward Rates of exchange to the £ Sterling
Year 1 4,250 10
Year 2 6,500 15
Year 3 8,350 21
For tax reasons JV(SV) the company to be formed specifically for the
joint venture, will be registered in South America.
Ignore taxation in your calculations.
Assuming you are financial adviser retained by OJ Limited to advise on
the proposed joint venture.
(i) Calculate the NPV of the project under the two assumptions explained
below. Use a discount rate of 18 per cent for both assumptions.
Assumption 1: The South American country has exchange controls which
prohibit the payment of dividends above 50 per cent of the annual cash flows
for the first three years of the project. The accumulated balance can be
repatriated at the end of the third year.
Assumption 2: The government of the South American country is
considering removing exchange controls and restriction on repatriation of
profits. If this happens all cash flows will be distributed as dividends to the
partner companies at the end of each year.
(ii) Comment briefly on whether or not the joint venture should proceed
based solely on these calculations.
Solution
Since only one discounting rate in given and interest rates are absent we
have to follow Home currency approach..
Assumption 1: Exchange Control exists.
Yr CF SA $ OJ’s Sh Withdrawa
l
Exc.
Rate
CF (Rs.) DF
(18%)
DCF
1
2
3
42,50,000
65,00,000
83,50,000
21,50,000
32,50,000
41,75,000
10,62,500
16,25,000
68,62,500
10
15
21
1,06,250
1,08,333
3,26,785
0.847
0.718
0.609
89,994
77,783
1,99,012
PV Inflows 3,66,789

270 SFM - COMPILER
- PV Outflows 4,50,00
0
NPV (83,211)
Decision : Project is not desirable if the exchange control exists
Assumption 2 : No exchange control
Yr CF SA $ OJ’s Sh Exc.
Rate
CF (Rs.) DF
(18%)
DCF
1
2
3
42,50,000
65,00,000
83,50,000
21,50,000
32,50,000
41,75,000
10
15
21
2,15,000
2,16,667
1,98,810
0.847
0.718
0.609
1,82,105
1,55,567
1,21,075
PV Inflows 4,58,747
- PV Outflows 4,50,000
NPV 8,747
Decision : The project can be picked up is the exchange controls are removed
The rate of inflation in India is 8% per annum and in the U.S.A. it is 4%.
The current spot rate for USD in India is Rs. 46. What will be the expected
rate after 1 year and after 4 years applying the Purchasing Power Parity
Theory.
Solution
F
S =
1 + iA
1 + iB
S = Spot Rate
iA = Rs. inflation Rate and
After 1 Year
F
46 =
1 + 0.08
1 + 0.04 therefore F = Rs. 47.769
After 4 Years
F = 46 x
1.08
1.04 x
1.08
1.04 x
1.08
1.04 x
1.08
1.04 = Rs.53.4958
Trueview plc, a group of companies controlled from the United Kingdom
includes subsidiaries in India, Malaysia and the United States. As per the
CFO’s forecast that, at the end of the June 2010 the position of inter-company
indebtedness will be as follows:
• The Indian subsidiary will be owed Rs. 1,44,38,100 by the Malaysian
subsidiary and will to owe the US subsidiary US$ 1,06,007.

271
SFM - COMPILER
• The Malaysian subsidiary will be owed MYR 14,43,800 by the US
subsidiary and will owe it US$ 80,000.
Suppose you are head of central treasury department of the group and
you are required to net off inter-company balances as far as possible and to
issue instructions for settlement of the net balances.
For this purpose, the relevant exchange rates may be assumed in terms of
£ 1 are US$ 1.415; MYR 10.215; Rs.68.10.
What are the net payments to be made in respect of the above balances?
Solution
India Malaysia US
India - Rs. 1,44,38,100 (US$ 1,06,007)
Malaysia (Rs. 1,44,38,100) - MYR
1,443,800
(US$ 80,000)
US US$ 1,06,007 (MYR 14,43,800)
US$ 80,000
-
Table showing conversion of above position into pound sterling
India
£
Malaysia
£
US
£
Total
£
India - 2,12,013 (74,917) 1,37,096
Malaysia (2,12,013) - 1,41,341
(56,537)
(1,27,209)
US 74,917 (1,41,341)
56,537
- (9,887)
(1,37,096) 1,27,209 9,887
Decision: Central treasury department will instruct the Malaysia subsidiary
to pay the Indian subsidiary £1,27,209 and the US subsidiary to pay the
Indian subsidiary £9,887.
Somu Electronics imported goods from Japan on July 1st 2009, of JP ¥ 1
million, to be paid on 31st, December 2009. The treasury manager collected
the following exchange rates on July 01, 2009 from the bank.
Delhi Rs./US$ Spot 45.86 /88
6 months forward 46.00/03
Tokyo JP ¥/ US$ Spot 108/108.50
6 months forward 110/110.60
In spite of fact that the forward quotation for JP ¥ was available through
cross currency rates, Mr. X, the treasury manager purchased spot US$ and
converted US$ into JP ¥ in Tokyo using 6 months forward rate.
However, on 31st December, 2009 Rs./US$ spot rate turned out to be
46.24 /26.

272 SFM - COMPILER
You are required to calculate the loss or gain in the strategy adopted by
Mr. X by comparing the notional cash flow involved in the forward cover for
Yen with the actual cash flow of the transaction.
Solution
Here we have to compare the notional cash outflow for the forward rate
of JP ¥ and the actual cash outflow involved in rupees against forward
purchase of JP ¥ for dollars in Tokyo and spot purchase of dollars in Delhi for
Rs.
(A) Cash flow of forward purchasing the JP ¥
Rs./JP ¥ 6 month forward rate
Bid rate = Bid rate of US$ / Ask Rate of JP ¥ = Rs. 46/ JP ¥ 110.60=Rs. 0.415913
Ask rate = Ask rate of US$ / Bid Rate of JP ¥ = Rs. 46.03/ JP ¥ 110=Rs.0. 418454
Hence, Rs./JP ¥ 6 month forward rate = 0.415913/0.418454
Accordingly, if the company had purchased JP ¥ forward against
rupees it would have paid = Rs.418454.50
(B) Cash flow of forward purchasing US$ in spot market and converting into JP ¥
Amount of US dollars to be paid on due date by purchase of JP¥ 1 million in
forward market
= JP¥ 1,000,000/ JP¥ 110 = US$ 9090.91
Cash outflows in rupees against purchase of dollars in on Dec. 31, 2009
= US$ 9090.91× Rs. 46.26 = Rs. 420,545.50
(C) Loss or gain due to strategy adopted by Mr. X.
(A) – (B) = Rs. 4,18,454.50 – 4,20,545.50 = Rs. 2091.00
Thus, the company paid more Rs.2,091.00 in the strategy adopted by Mr. X.
An automobile company in Gujarat exports its goods to Singapore at a
price of SG$ 500 per unit. The company also imports components from Italy
and the cost of components for each unit is € 200. The company’s CEO
executed an agreement for the supply of 20000 units on January 01, 2010 and
on the same date paid for the imported components. The company’s variable
cost of producing per unit is Rs. 1,250 and the allocable fixed costs of the
company are Rs. 1,00,00,000.
The exchange rates as on 1 January 2010 were as follows-
Spot Rs./SG$ 33.00/33.04
Rs./€ 56.49/56.56
Mr. A, the treasury manager of company is observing the movements of
exchange rates on a day to day basis and has expected that the rupee would
appreciate against SG$ and would depreciate against €.
As per his estimates the following are expected rates for 30th June 2010.

273
SFM - COMPILER
Spot Rs./SG$ 32.15/32.21
Rs./€ 57.27/57.32
You are required to find out:
(a) The change in profitability due to transaction exposure for the contract
entered into.
(b) How many units should the company increases its sales in order to
maintain the current profit level for the proposed contract in the end of
June 2010.
Solution
(a) Let us first calculate the Company’s existing profits
Rs. Rs.
Sales – 20000 x SG$500 x Rs.33 330,000,000
Variable Cost
Imported Raw Material-20000 x €200 x Rs.56.56226,240,000
Manufacturing Cost- 20000 x Rs.1,250 25,000,000
Fixed Cost 10,000,000 261,240,000
Profit 68,760,000
After the Rupee appreciation against SG$ and depreciation against €, the
company’s profitability will be
Rs. Rs.
Sales – 20000 x SG$500 x Rs.32.15 321,500,000
Variable Cost
Imported Raw Material-20000 x €200 x Rs.57.32229,280,000
Manufacturing Cost- 20000 x Rs. 1,250 25,000,000
Fixed Cost 10,000,000 264,280,000
Profit 57,220,000
Thus profit will decrease by Rs. 11,540,000 (Rs. 68,760,000 – Rs.
57,220,000)
(b) Let the number of units that need to be sold for keeping the profits at pre
appreciation level be X.
Then
Rs.68,760,000 = [500 × Rs. 32.15 × X] – [(1250 × X) + (200 × 57.32X) +
10,000,000] 68,760,000 = [16075X – (1250X + 11464X + 10,000,000)]
68,760,000 + 10,000,000= 16075X – 12714X
78,760,000 = 3361X
X = 23433.50 or, 23434 units.

274 SFM - COMPILER
Thus, the company should increase its existing supply from 20000 to 23434
to maintain the current profit level of Rs. 68,760,000.
Given the following information :
Exchange rate- Canadian Dollar 0.665 per DM (Spot)
Canadian Dollar 0.670 per DM (3 months)
Interest rates -DM 7% p.a.
Canadian Dollar 9% p.a.
What operations would be carried out to earn the possible arbitrage gains?
Solution
spot $ / DM 0.665
3mf $ / DM 0.670
i$ 9%pa
iDM 7%pa
Step 1 : Borrow 10,000 CD for 3 months
Amt : payable = 10,000 x 1.0225 CD = 10225 CD
Step 2 : Convert CD 10,000 in DM spot
Amount Received =
10,000
0.665 = 15,037.59 DM
Step 3 : Invest 15,037.59 DM for 3 months
Amount Receivable = 15,037.59 x 1.0175 = 15,300.7478
Step 4 : Sell 15,300.7478 DM 3 mf
Amount Receivable = 15,300.7478 x 0.670 = 10,251.50
Profit = 10,251.50 – 10,225 = 26.5 $
2011
Arnie operating a garment store in US has imported garments from
Indian exporter of invoice amount of Rs.1,38,00,000 (equivalent to US$
3,00,000). The amount is payable in 3 months. It is expected that the
exchange rate will decline by 5% over 3 months period. Arnie is interested to
take appropriate action in foreign exchange market. The three month forward
rate is quoted at Rs.44.50.
You are required to calculate expected loss which Arnie would suffer due
to this decline if risk is not hedged. If there is loss, then how he can hedge this
risk.
Solution
Arnie us imports fc Rs.1,38,00,000 payable after 3 months
Spot Rs. / $
1,38,00,000
3,00,000 = 46
Expected 3 months spot Rs. / $ 43.7

275
SFM - COMPILER
3 mf rate Rs. / $ 44.5
No Hedging
3m spot Rs. / $ 43.7
1,38,00,000
43.7 = 3,15,789.4737 $
: Loss = 1,57,789.4737
Hedging
3mf Buy
3mf Rs. / $ 44.5
Amt payable =
1,38,00,000
44.5 = 310112.3596 $
: Saving in loss 315789.4737
310112.3596
5677.1141 $
AMK Ltd. an Indian based company has subsidiaries in U.S. and U.K.
Forecasts of surplus funds for the next 30 days from two subsidiaries are
as below:
U.S. $12.5 million
U.K. £ 6 million
Following exchange rate informations are obtained:
$/Rs. £/Rs.
Spot 0.0215 0.0149
30 days forward 0.0217 0.0150
Annual borrowing/deposit rates (Simple) are available.
Rs. 6.4%/6.2%
$ 1.6%/1.5%
£ 3.9%/3.7%
The Indian operation is forecasting a cash deficit of Rs. 500 million.
It is assumed that interest rates are based on a year of 360 days.
(i) Calculate the cash balance at the end of 30 days period in Rs. for
each company under each of the following scenarios ignoring
transaction costs and taxes:
(a) Each company invests/finances its own cash balances/deficits in local
currency independently.
(b) Cash balances are pooled immediately in India and the net balances are
invested/borrowed for the 30 days period.

276 SFM - COMPILER
(ii) Which method do you think is preferable from the parent company’s
point of view?
Solution
Cash Balances:
Acting independently Rs. 000
Capital Interest Rs. in 30 days
India –5,00,000 –2,666.67 –5,02,667
U.S. 12,500 15.63 5,76,757
U.K. 6,000 18.50 4,01,233
4,75,323
Immediate Cash Pooling
Rs. 000
India -5,00,000
US
12,500
0.0215 5,81,395
UK
6,000
0.0149 4,02,658
Net 4,84,080
If the company decides to invest pooled amount of Rs. 4,84,080,000/- @
6.2% p.a. for 30 days an interest of Rs. 2,501,080/- will accrue.
Immediate cash pooling is preferable as it maximizes interest earnings
On January 28, 2005 an importer customer requested a bank to remit
Singapore Dollar (SGD) 25,00,000 under an irrevocable LC. However due to
bank strikes, the bank could effect the remittance only on February 4, 2005.
The interbank market rates were as follow :
January 28 February 4
Bombay US$1 Rs. 45.85/45.90 45.91/45.97
London Pound I US$17840/17850 1.7765/1.7775
Singapore Pound I SGD3.1575/3.1590 3.1380/3.1390
The bank wishes to retain an exchange margin of 0.125%.
How much does the customer stand to gain or lose due to the delay?
(Calculate rate in multiples of .0001)
Solution
On July 28, 2008 the importer customer requested to remit SGD
25,00,000.
To consider sell rate for the bank:
US $ = Rs.45.90

277
SFM - COMPILER
Pound 1 = US$ 1.7850
Therefore, SGD 1 =
` 45.90 x $ 1.7850
SGD 3.1575
SGD 1 = Rs. 25.9482
Rs. 25.9806
On August 4, 2008 the rates are
US $ = Rs. 45.97
Pound 1 = US$ 1.7775
Therefore, SGD 1 =
` 45.97 x $ 1.7775
SGD 3.1380
SGD 1 = Rs. 26.0394
Rs. 26.0719
Hence, loss to the importer
= SGD 25,00,000 (Rs.26.0719– Rs.25.9806)
= Rs.2,28,250
An Indian importer has to settle an import bill for $ 1,30,000. The exporter
has given the Indian exporter two options:
(i) Pay immediately without any interest charges.
(ii) Pay after three months with interest at 5 percent per annum.
The importer's bank charges 15 percent per annum on overdrafts. The
exchange rates in the market are as follows:
Spot rate (Rs./$) : 48.35 /48.36
3-Months forward rate (Rs./$) : 48.81 /48.83
The importer seeks your advice. Give your advice.
Solution
If importer pays now, he will have to buy US$ in Spot Market by availing
overdraft facility. Accordingly, the outflow under this option will be
Rs.
Amount required to purchase $130000[$130000 X Rs.48.36]62,86,800
Add: Overdraft Interest for 3 months @15% p.a. 2,35,755
65,22,555

278 SFM - COMPILER
If importer makes payment after 3 months then, he will have to pay
interest for 3 months @ 5% p.a. for 3 month along with the sum of import bill.
Accordingly, he will have to buy $ in forward market. The outflow under this
option will be as follows:
$
Amount of Bill 130000
Add: Interest for 3 months @5% p.a. 1625
131625
Amount to be paid in Indian Rupee after 3 month under the forward
purchase contract
Rs. 6427249 (US$ 131625 X Rs. 48.83)
Since outflow of cash is least in (ii) option, it should be opted for.
2012
The risk free rate of interest rate in USA is 8% p.a. and in UK is 5% p.a. The
spot exchange rate between US $ and UK £ is 1$ = £ 0.75.
Assuming that is interest is compounded on daily basis then at which forward
rate of 2 year there will be no opportunity for arbitrage.
Further, show how an investor could make risk-less profit, if two year
forward price is 1 $ = 0.85 £.
Given e0.-06 = 0.9413 & e-0.16 = 0.852, e0.16 = 1.1735, e-0.1 = 0.9051
Solution
2 year Forward Rate will be calculated as follows:
F = Se(ruk -rus )t
Where
F = Forward Rate
S = Spot Rate
rUK = Risk Free Rate in UK
rUS = Risk Free Rate in US
t = Time
Accordingly,
F = 0.75e (0.05 – 0.08)2
= 0.75 € 0.9413
= 0.706
Thus, 1 US $ = £ 0.706
If forward rate is 1 UK $ = 0.85$ then an arbitrage opportunity exists.
Take following steps
(a) Should borrow UK £
(b) Buy US $
(c) Enter into a short forward contract on US $ Accordingly,

279
SFM - COMPILER
The riskless profit would be
(a) Say borrow £ 0.706e-(0.05)(2) = £ 0.639 and invest in UK for 2
years.
(b) Now buy US $ at US $ 1e-(0.08)2 = US $ 0.852, so that after two
year it can be used to close out the position.
(c) After two year the investment in US $ will become US $ 0.852
e(0.08)(2) = US $ 0.852 x 1.1735 = 1 US $
(d) Sell this US $ for £ 0.85 and repay loan of £ 0.639 along with
interest i.e £ 0.706.
Thus arbitrage profit will be
US$ 0.85 – US$ 0.706 = 0.144 $.
True Blue Cosmetics Ltd. is an old line producer of cosmetics products
made up of herbals. Their products are popular in India and all over the world
but are more popular in Europe.
The company invoice in Indian Rupee when it exports to guard itself
against the fluctuation in exchange rate. As the company is enjoying
monopoly position, the buyer normally never objected to such invoices.
However, recently, an order has been received from a whole-saler of France
for FFr 80,00,000. The other conditions of the order are as follows:
(a) The delivery shall be made within 3 months.
(b) The invoice should be FFr.
Since, company is not interested in losing this contract only because of
practice of invoicing in Indian Rupee. The Export Manger Mr. E approached
the banker of Company seeking their guidance and further course of action.
The banker provided following information to Mr. E.
(a) Spot rate 1 FFr = Rs. 6.60
(b) Forward rate (90 days) of 1 FFr = Rs. 6.50
(c) Interest rate in India is 9% and in France is 12%.
Mr. E entered in forward contract with banker for 90 days to sell FFr at
above mentioned rate.
When the matter come for consideration before Mr. A, Accounts
Manager of company, he approaches you.
You as a Forex consultant is required to comment on:
(i) Whether there is an arbitrage opportunity exists or not.
(ii) Whether the action taken by Mr. E is correct and if bank agrees for
negotiation of rate, then at what forward rate company should sell FFr to
bank.
Solution
Invoice amount in Indian Rupee = FFr 80,00,000 € Rs. 6.60 = Rs.
5,28,00,000
(i) Interest Rate in India 9% p.a.

280 SFM - COMPILER
Interest Rate in France 12% p.a
The interest rate differential 9% - 12% = 3% (Positive Interest Differential)
Forward Discount =
F-S
S x
12
n x 100
=
6.5-6.6
6.6 x
12
n x 100 = - 6.061% (forward Discount)
Since the forward discount is greater than interest rate differential
there will be arbitrage inflow into the country (India).
(ii) The decision taken by Mr. E was not correct because as per Interest Rate
Parity
Theory, forward rate for sale should be 1 FFr = Rs. 6.65, calculated as
follows:
Let F be the forward rate, then as per Interest Rate Parity theory, it
should have been as follows:
=
F-S
S x
12
n x 100 = -3
=
F-6.6
6.6 x
12
3 x 100 = -3
F = 6.6495
NP and Co. has imported goods for US $ 7,00,000. The amount is
payable after three months. The company has also exported goods for US $
4,50,000 and this amount is receivable in two months. For receivable amount
a forward contract is already taken at € 48.40.
The market rates for € and $ are as under.
Spot € 48.50 / 70
Two months 25 / 30 points
Three months 40 / 45 points
The Company wants to cover the risk and it has two options as under :
a) To cover payables in the forward market and
b) To lag the receivables by one month and cover the risk only for the net
amount. No interest for delaying the receivables is earned. Evaluate both
the options if the cost of Rupee Funds is 12%. Which option is preferable?
Solution
(i) To cover payable and receivable in forward Market
Amount payable after 3 months $7,00,000
Forward Rate Rs. 48.45
Thus Payable Amount (Rs.) (A) Rs. 3,39,15,000
Amount receivable after 2 months $ 4,50,000

281
SFM - COMPILER
Forward Rate Rs. 48.40
Thus Receivable Amount (Rs.) (B) Rs. 2,17,80,000
Interest @ 12% p.a. for 1 month (C) Rs. 2,17,800
Net Amount Payable in (Rs.) (A) – (B) – (C) Rs. 1,19,17,200
(ii) Assuming that since the forward contract for receivable was already
booked it shall be cancelled if we lag the receivables. Accordingly any
profit/ loss on cancellation of contract shall also be calculated and shall
be adjusted as follows:
Amount Payable ($) $7,00,000
Amount receivable after 3 months $ 4,50,000
Net Amount payable $2,50,000
Applicable Rate Rs. 48.45
Amount payable in (Rs.) (A) Rs. 1,21,12,500
Profit on cancellation of Forward cost
(48.90 – 48.30) × 4,50,000 (B) Rs. 2,70,000
Thus net amount payable in (Rs.) (A) + (B) Rs. 1,18,42,500
Since net payable amount is least in case of second option, hence the
company should lag receivables.
Note: In the question it has not been clearly mentioned that whether
quotes given for 2 and 3 months (in points terms) are premium points or
direct quotes. Although above solution is based on the assumption that these
are direct quotes, but students can also consider them as premium points and
solve the question accordingly.
A company is considering hedging its foreign exchange risk. It has made
a purchase on 1st. January, 2008 for which it has to make a payment of US $
50,000 on September 30,2008. The present exchange rate is 1 US $ = Rs.40.
It can purchase forward 1 US $ at Rs. 39. The company will have to make a
upfront premium of 2% of the forward amount purchased. The cost of funds
to the company is 10% per annum and the rate of corporate tax is 50%. Ignore
taxation. Consider the following situations and compute the Profit/Loss the
company will make if it hedges its foreign exchange risk:
(i) If the exchange rate on September 30, 2008 is Rs.42 per US $.
(ii) If the exchange rate on September 30, 2008 is Rs.38 per US $.
Solution
(Rs.)
Present Exchange Rate Rs.40 = 1 US$
If company purchases US$ 50,000 forward premium is
50000 × 39 × 2% 39,000

282 SFM - COMPILER
Interest on Rs.39,000 for 9 months at 10% 2,925
Total hedging cost 41,925
If exchange rate is Rs.42
Then gain (Rs.42 – Rs.39) for US$ 50,000 1,50,000
Less: Hedging cost 41,925
Net gain 1,08,075
If US$ = Rs.38
Then loss (39 – 38) for US$ 50,000 50,000
Add: Hedging Cost 41,925
Total Loss 91,925
An Indian exporting firm, Rohit and Bros., would be cover itself against a
likely depreciation of pound sterling. The following data is given:
Receivables of Rohit and Bros : £500,000
Spot rate : Rs.56.00/£
Payment date : 3-months
3 months interest rate : India : 12 per cent per annum
: UK : 5 per cent per annum
What should the exporter do?
Solution
Rohit and Bros can cover the risk in the money market.
The following steps are required to be taken:
Step 1 : Borrow pound sterling for 3- months @ 5% p.a i.e 1.25% for 3 months
The borrowing has to be such that at the end of three months, the amount
becomes £ 500,000.
the amount borrowed is =
5,00,000
1.0125 = £493,827
Step 2 : Convert the borrowed sum into rupees at the spot rate.
This gives: £493,827 × Rs.56 = Rs.27,654,312
Step 3 : Sell The sum thus obtained is placed in the money market at 12 % p.a
i.e 3% for 3 months
Amount Receivable = 27,654,312 x 1.03 = Rs.28,483,941
The US dollar is selling in India at Rs.55.50. If the interest rate for a 6
months borrowing in India is 10% per annum and the corresponding rate in
USA is 4%.
(i) Do you expect that US dollar will be at a premium or at discount in the
Indian Forex Market?

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SFM - COMPILER
(ii) What will be the expected 6-months forward rate for US dollar in India?
and
(iii) What will be the rate of forward premium or discount?
Solution
(1) Under the given circumstances, the USD is expected to quote at a
premium in India as the interest rate is higher in India
(2) According to IRP
F
S =
1 + iA
1 + iB
Where
F = Forward Rate
S = Spot Rate
iA = 6 month interest rate in India
= 10% p.a = 5% for 6 months
iB = 6 months interest rate in USA
= 4% p.a = 2% for 6 months
After 6 months,
F
55.5 =
1.05
1.02 , therefore F = Rs. 57.13
(3) Forward Premium on $ =
F-S
S 100 x
12
n
=
57.13 - 55.5
55.5 x 100 x
12
6 = 5.87%
Z Ltd. importing goods worth USD 2 million, requires 90 days to make
the payment. The overseas supplier has offered a 60 days interest free credit
period and for additional credit for 30 days an interest of 8% per annum.
The bankers of Z Ltd offer a 30 days loan at 10% per annum and their
quote for foreign exchange is as follows:
Rs.
Spot 1 USD 56.50
60 days forward for 1 USD 57.10
90 days forward for 1 USD 57.50
Solution
(i) Pay the supplier in 60 days
If the payment is made to supplier in 60 days the applicable
forward rate would be for 1 USD Rs.57.10
Payment Due USD 2,00,000
Outflow in Rupees (2,00,000 x 57.10) Rs.114,200,000

284 SFM - COMPILER
Add : Interest on loan for 30 days @ 10% p.a Rs.951,667
Total Outflow Rs.115,151,667
(ii) Availing supplier’s offer of 90 days credit
Amount Payable USD 2,00,000
Add : Interest on the credit period for 30 days @ 8% p.a USD 13,333
Total Outflow USD 2,13,333
Applicable forward Rate Rs.57.50
Total Outflow (2,13,333 x 57.5) Rs.115,766,648
Decision : Z Ltd should pay the supplier in 60 days
2013
ABC Ltd. is considering a project in US, which will involve an initial
investment of US $ 1,10,00,000. The project will have 5 years of life. Current
spot exchange rate is Rs. 48 per US $. The risk free rate in US is 8% and the
same in India is 12%. Cash inflow from the project is as follows:
Year Cash inflow
1 US $ 20,00,000
2 US $ 25,00,000
3 US $ 30,00,000
4 US $ 40,00,000
5 US $ 50,00,000
Calculate the NPV of the project using foreign currency approach. Required
rate of return on this project is 14%.
Solution
(1 + 0.12) (1 + Risk Premium) = (1 + 0.14)
1 + Risk Premium = 1.14/1.12 = 1.0179
Therefore, Risk adjusted dollar rate is = 1.0179 x 1.08 = 1.099 – 1 = 0.099 i.e.
9.9%
Calculation of NPV
Year Cash flow (Million) US$ PV Factor at 9.9% P.V.
1 2.00 0.910 1.820
2 2.50 0.828 2.070
3 3.00 0.753 2.259
4 4.00 0.686 2.744
5 5.00 0.624 3.120
12.013

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Less: Investment
11.000
NPV 1.013
Therefore, Rupee NPV of the project is = Rs. (48 x 1.013) Million = Rs.
48.624 Million
You as a dealer in foreign exchange have the following position in Swiss
Francs on 31st October, 2009:
Swiss Francs
Balance in the Nostro A/c Credit 1,00,000
Opening Position Overbought 50,000
Purchased a bill on Zurich 80,000
Sold forward TT 60,000
Forward purchase contract cancelled 30,000
Remitted by TT 75,000
Draft on Zurich cancelled 30,000
What steps would you take, if you are required to maintain a credit Balance of
Swiss Francs 30,000 in the Nostro A/c and keep as overbought position on
Swiss Francs 10,000?
Solution
Exchange Position / Currency Position
Particulars Purchase Sw.
Fcs
Sale Sw. Fcs
Opening Balance Overbought
Bill on Zurich
Forward Sales – TT
Cancellation of Forward
Contract TT Sales
Draft on Zurich cancelled
Closing Balance Oversold
50,000
80,000
-
-
-
30,000
1,60,000
5,000
1,65,000
-
-
60,000
30,000
75,000
1,65,000
-
1,65,000
Cash Position (Nastro Account)
Credit Debit
Opening Balance Credit
TT Sales
Closing Balance (Credit)
1,00,000
-
1,00,000
-
1,00,000
-
75,000
75,000
25,000
1,00,000
The Bank has to buy spot TT Sw. Fcs. 5,000 to increase the balance in
Nostro account to Sw. Fcs. 30,000.

286 SFM - COMPILER
This would bring down the oversold position on Sw. Fcs. as Nil.
Since the bank requires an overbought position of Sw. Fcs. 10,000, it has
to buy forward Sw. Fcs. 10,000.
Question 41: May 2013 – RTP
The rate of inflation in USA is likely to be 3% per annum and in India it is
likely to be 6.5%. The current spot rate of US $ in India is Rs. 43.40. Find the
expected rate of US $ in India after one year and 3 years from now using
purchasing power parity theory.
Solution
F
S =
1 + iA
1 + iB
S = Spot Rate
iA = Rs. inflation Rate and
After 1 Year
F
42.40 =
1 + 0.065
1 + 0.03 therefore F = Rs. 44.8751
After 3 Years
F = 42.40 x
1.065
1.03 x
1.065
1.03 x
1.065
1.03 = Rs. 47.9762
Question 42: May 2013 – RTP
On April 1, 3 months interest rate in the UK £ and US $ are 7.5% and
3.5% per annum respectively. The UK £/US $ spot rate is 0.7570. What would
be the forward rate for US $ for delivery on 30th June?
Solution
F
S =
1 + iA
1 + iB
S = Spot Rate
iA = £ Interest Rate for 3 months
= 7.5% P.A i.e 1.875% for 3 months
iB = $ Interest Rate for 3 months
= 3.5% P.A i.e 0.875% for 3 months
After 3 months
F
0.7570 =
1 + 0.01875
1 + 0.0875 , therefore F = 0.7645 UK £/US $

287
SFM - COMPILER
A Bank sold Hong Kong Dollars 40,00,000 value spot to its customer at
Rs.7.15 and covered itself in London Market on the same day, when the
exchange rates were:
US$ = HK$ 7.9250 7.9290
Local interbank market rates for US$ were
Spot US$ 1 = Rs.55.00 / 55.20
You are required to calculate rate and ascertain the gain or loss in the
transaction. Ignore brokerage. You have to show the calculations for exchange
rate up to four decimal points.
Solution
The bank (Dealer) covered itself by buying from the London market at
market selling rate.
Rupee – US Dollar selling rate = Rs.55.20
US Dollar – Hong Kong Dollar = HK $ 7.9250
Rupee – Hong Kong cross rate (Rs.55.20 / 7.9250) = Rs.6.9653
Gain / Loss to the Bank
Amount received from customer (HK$40,00,000) × Rs.7.15 Rs.2,86,00,000
Amount paid on cover deal (HK$ 40,00,000 × Rs.6.9653) Rs.2,78,61,200
Gain to Bank Rs.7,38,800
Alternative Calculation Gain to bank = 40,00,000 (Rs.7.15 – Rs.6.9653)
= Rs.7,38,800
Question 44: May 2013 - Paper – 10 Marks
XY Limited is engaged in large retail business in India. It is
contemplating for expansion into a country of Africa by acquiring a group of
stores having the same line of operation as that of India.
The exchange rate for the currency of the proposed African country is
extremely volatile. Rate of inflation is presently 40% a year. Inflation in India
is currently 10% a year.
Management of XY Limited expects these rates likely to continue for the
foreseeable future. Estimated projected cash flows, in real terms, in India as
well as African country for the first three years of the project are as follows:
Year – 0 Year – 1 Year – 2 Year – 3
Cash Flows in Indian
Rs. (000)
-50,000 -1,500 -2,000 -2,500
Cash flows in
African Rands (000)
-2,00,000 +50,000 +70,000 +90,000
XY Ltd. assumes the year 3 nominal cash flows will continue to be earned
each year indefinitely. It evaluates all investments using nominal cash flows
and a nominal discounting rate. The present exchange rate is African Rand 6
to Rs.1.
You are required to calculate the net present value of the proposed
investment considering the following:

288 SFM - COMPILER
(i) African Rand cash flows are converted into rupees and discounted at a
risk adjusted rate.
(ii) All cash flows for these projects will be discounted at a rate of 20% to
reflect it’s high risk.
(iii) Ignore taxation.
Year - 1 Year - 2 Year - 3
PVIF @ 20% 833 694 579
Solution
Calculation of NPV
Year 0 1 2 3
Inflation factor in India 1.00 1.10 1.21 1.331
Inflation factor in Africa 1.00 1.40 1.96 2.744
Exchange Rate (as per IRP) 6.00 7.6364 9.7190 12.3696
Cash Flows in Rs. ’000
Real-50000 -1500 -2000 -2500
Nominal (1) -50000 -1650 -2420 -3327.50
Cash Flows in African Rand ’000
Real-200000 50000 70000 90000
Nominal -200000 70000 137200 246960
In Indian Rs. ’000 (2) -33333 9167 14117 19965
Net Cash Flow in Rs. ’000 (1)+(2) -83333 7517 11697
16637
PVF@20% 1 0.833 0.694 0.579
PV -83333 6262 8118 9633
NPV of 3 years = -59320 (Rs. ’000)
NPV of Terminal Value =
16,637
0.20 x 0.579 = 48,164 (Rs. ’000)
Total NPV of the Project = -59320 (Rs. ’000) + 48164 (Rs. ’000) = -11156 (Rs.
’000)
Question 45: Nov 2013 - RTP
Columbus Surgicals Inc. is based in US, has recently imported surgical
raw materials from the UK and has been invoiced for £ 480,000, payable in 3
months. It has also exported surgical goods to India and France.
The Indian customer has been invoiced for £ 138,000, payable in 3
months, and the French customer has been invoiced for € 590,000, payable in
4 months.
Current spot and forward rates are as follows:
£ / US$
Spot: 0.9830 – 0.9850
Three months forward: 0.9520 – 0.9545
US$ / €

289
SFM - COMPILER
Spot: 1.8890 – 1.8920
Four months forward: 1.9510 – 1.9540
Current money market rates are as follows:
UK: 10.0% – 12.0% p.a.
France: 14.0% – 16.0% p.a.
USA: 11.5% – 13.0% p.a.
You as Treasury Manager are required to show how the company can hedge
its foreign exchange exposure using Forward markets and Money markets
hedge and suggest which the best hedging technique is.
Solution
£ Exposure
Since Columbus has a £ receipt (£ 138,000) and payment of (£ 480,000)
maturing at the same time i.e. 3 months, it can match them against each
other leaving a net liability of £ 342,000 to be hedged.
(i) Forward market hedge
Buy 3 months' forward contract accordingly, amount payable after 3
months will be £ 342,000 / 0.9520 = US$ 359,244
(ii) Money market hedge
To pay £ after 3 months' Columbus shall requires to borrow in US$ and
translate to £ and then deposit in £. (Invest – Buy - Borrow)
Step 1 : Invest
For payment of £ 342,000 in 3 months (@2.5% interest) amount
required to be deposited now
(£ 342,000 ÷ 1.025) = £ 333,658
Step 2 : Buy
With spot rate of 0.9830 the US$ loan needed will be = US$ 339,429
Step 3 : Borrow
Loan repayable after 3 months (@3.25% interest) will be= US$ 350,460
In this case the money market hedge is a cheaper option.
€ Receipts
€ Receipt Amount to be hedged = € 590,000
Now we Convert exchange rates to home currency
€ / US$
Spot 0.5285 – 0.5294
4 months forward 0.5118 – 0.5126
(i) Forward market hedge
Sell 4 months' forward contract accordingly, amount receivable after 4
months will be (€ 590,000 / 0.5126) = US$ 1,150,995
(ii) Money market hedge For money market hedge Columbus shall borrow in
€ and then translate to US$ and deposit in US$ (Borrow – Sell – Invest)
Step 1 : Borrow
For receipt of € 590,000 in 4 months (@ 5.33% interest) amount
required to be borrowed now (€590,000 ÷ 1.0533) = € 560,144

290 SFM - COMPILER
Step 2 : Sell
With spot rate of 0.5294 the US$ deposit will be = US$ 1,058,073
Step 3 : Invest
deposit amount will increase over 3 months (@3.83% interest) will be
= US$ 1,098,597
In this case, more will be received in US$ under the forward hedge.
Question 46: Nov 2013 – RTP
ABN-Amro Bank, Amsterdam, wants to purchase Rs. 15 million against
US$ for funding their Vostro account with Canara Bank, New Delhi.
Assuming the inter-bank, rates of US$ is Rs. 51.3625/3700, what would be the
rate Canara Bank would quote to ABN-Amro Bank? Further, if the deal is
struck, what would be the equivalent US$ amount.
Solution
Here Canara Bank shall buy US$ and credit Rs. to Vostro account of
ABN-Amro Bank. Canara Bank’s buying rate will be based on the Inter-bank
Buying Rate (as this is the rate at which Canara Bank can sell US$ in the
Interbank market)
Accordingly, the Interbank Buying Rate of US$ will be Rs.51.3625 (lower
of two)
Equivalent of US$ for Rs.15 million at this rate will be
=
15,000,000
51.3625 = US$ 2,92,041.86
You, a foreign exchange dealer of your bank, are informed that your bank
has sold a T.T. on Copenhagen for Danish Kroner 10,00,000 at the rate of
Danish Kroner 1 = Rs. 6.5150.
You are required to cover the transaction either in London or New York
market. The rates on that date are as under:
Mumbai-London Rs.74.3000 Rs.74.3200
London-New York Rs.49.2500 Rs.49.2625
London-Copenhagen DKK 11.4200 DKK 11.4350
New York-Copenhagen DKK 07.5670 DKK 07.5840
In which market will you cover the transaction, London or New York, and
what will be the exchange profit or loss on the transaction? Ignore
brokerages.
Solution
Amount realized on selling Danish Kroner 10,00,000 at Rs. 6.5150 per
Kroner = Rs. 65,15,000.

291
SFM - COMPILER
Cover at London:
Bank buys Danish Kroner at London at the market selling rate.
Pound sterling required for the purchase (DKK 10,00,000 ÷ DKK 11.4200) =
GBP 87,565.67
Bank buys locally GBP 87,565.67 for the above purchase at the market selling
rate of Rs. 74.3200.
The rupee cost will be = Rs. 65,07,88
Profit (Rs. 65,15,000 - Rs. 65,07,881) = Rs. 7,119
Cover at New York:
Bank buys Kroners at New York at the market selling rate.
Dollars required for the purchase of Danish Kroner (DKK10,00,000 ÷
7.5670) = USD 1,32,152.77
Bank buys locally USD 1,32,152.77 for the above purchase at the market
selling rate of Rs. 49.2625.
The rupee cost will be = Rs. 65,10,176.
Profit (Rs. 65,15,000 - Rs. 65,10,176) = Rs. 4,824
The transaction would be covered through London which gets the maximum
profit of Rs. 7,119 or lower cover cost at London Market by (Rs. 65,10,176 –
Rs. 65,07,881) = Rs. 2,295
Your bank’s London office has surplus funds to the extent of USD
5,00,000/- for a period of 3 months. The cost of the funds to the bank is 4%
p.a. It proposes to invest these funds in London, New York or Frankfurt and
obtain the best yield, without any exchange risk to the bank. The following
rates of interest are available at the three centres for investment of domestic
funds there at for a period of 3 months.
London 5 % p.a.
New York 8% p.a.
Frankfurt 3% p.a.
The market rates in London for US dollars and Euro are as under:
London on New York
Spot 1.5350/90
1 month 15/18
2 month 30/35
3 months 80/85
London on Frankfurt
Spot 1.8260/90
1 month 60/55

292 SFM - COMPILER
2 month 95/90
3 month 145/140
At which centre, will be investment be made & what will be the net gain (to
the nearest pound) to the bank on the invested funds?
Solution
(i) If investment is made at London
Convert US$ 5,00,000 at Spot Rate (5,00,000/1.5390) = £ 3,24,886
Add: £ Interest for 3 months on £ 324,886 @ 5% = £ 4,061
= £ 3,28,947
Less: Amount Invested $ 5,00,000
Interest accrued thereon $ 5,000
= $ 5,05,000
Equivalent amount of £ required to pay the above sum
($ 5,05,000/1.5430) = £ 3,27,285
Arbitrage Profit = £ 1,662
(ii) If investment is made at New York
Gain $ 5,00,000 (8% - 4%) x 3/12 = $ 5,000
Equivalent amount in £ 3 months ($ 5,000/ 1.5475) £ 3,231
(iii) If investment is made at Frankfurt
Convert US$ 500,000 at Spot Rate (Cross Rate) 1.8260/1.5390 = € 1.1865
Euro equivalent US$ 500,000 = € 5,93,250
Add: Interest for 3 months @ 3% = € 4,449
= € 5,97,699
3 month Forward Rate of selling € (1/1.8150) = £ 0.5510
Sell € in Forward Market € 5,97,699 x £ 0.5510 = £ 3,29,332
Less: Amounted invested and interest thereon = £ 3,27,285
Arbitrage Profit = £ 2,047
Since out of three options the maximum profit is in case investment is
made in New York. Hence it should be opted.
2014
Following information relates to AKC Ltd. which manufactures some parts of
an electronics device which are exported to USA, Japan and Europe on 90
days credit terms.
Cost and Sales information :
Japan USA Europe
Variable cost per unit
Export sale price per unit/Receipts
from sale due in 90 days
Rs.225
Yen 650
Yen
78,00,000
Rs.395
US$10.23
US$1,02,300
Rs.510
Euro 11.99
Euro 85,920
Foreign exchange rate information :
Yen/Rs. US$/Rs. Euro/Rs.

293
SFM - COMPILER
Spot market
3 months forward
3 months spot
2,417-2.437
2.397-2.427
2.423-2.459
0.0214-0.0217
0.0213-0.0216
0.02144-0.02156
0.0177-0.0180
0.0176-0.0178
0.0177-0.0179
Advice AKC Ltd. by calculating average contribution to sales ratio
whether it should hedge its foreign currency risk or not.
Solution
Variable cost
Units vc variable cost
Japan 78,00,000 / 650 12000 225 27,00,000
Us 1,02,300 / 10.23 10000 395 39,50.000
Europe 95,920 / 11,99 8000 510 40,80,000
Rs. 1,07,30,000
Hedging
ER Receipts (Rs.)
Japan 78,00,000 2.427 32 ,13,844
Us 1,02,300 0.0216 47,36,111
Europe 95,920 0.0178 53,88,764
Rs. 1,33,38,719
Contribustion / sales =
1,33,38,719 - 1,07,30,000
1,33,38,719 x 100 = 19.56%
Non Hedging
Japan 2.459 31,72,021
Us 0.02156 47,44,898
Europe 0.0179 53,58,659
Rs. 1,32,75,578
Contribution / Sales Ratio =
1,32,75,578 - 1,07,30,000
1,07,30,000 x 100 = 19.17%
The Bank sold Hong Kong Dollar 1,00,000 spot to its customer at Rs.
7.5681 and covered itself in London market on the same day, when the
exchange rates were
US $1 = HK$ 8.4409 HK $ 8.4500
Local inter-bank market rates for US$ were:
Spot US$1 = Rs. 62.7128 Rs. 62.9624
Calculate the cover rate and ascertain the profit or loss in the transaction.
Ignore brokerage.
Solution
The bank (Dealer) covers itself by buying from the market at market selling
rate.
Rupee – Dollar selling rate = Rs. 62.9624

294 SFM - COMPILER
Dollar – Hong Kong Dollar = HK $ 8.4409
Rupee – Hong Kong cross rate = Rs. 62.9624/ 8.4409
Cover Rate = Rs. 7.4592
Profit / Loss to the Bank
Amount received from customer (1 lakh × 7.5681) Rs. 7,56,810
Amount paid on cover deal (1 lakh × 7.4592) Rs. 7,45,920
Profit to Bank Rs. 10,890
JKL Ltd., an Indian company has an export exposure of JPY 10,000,000
payable August 31, 2014. Japanese Yen (JPY) is not directly quoted against
Indian Rupee.
The current spot rates are:
INR/US $ = Rs.62.22
JPY/US$ = JPY 102.34
It is estimated that Japanese Yen will depreciate to 124 level and Indian
Rupee to depreciate against US $ to Rs.65.
Forward rates for August 2014 are
INR/US $= Rs.66.50
Required:
(i) Calculate the expected loss, if the hedging is not done. How the position
will change, if the firm takes forward cover?
(ii) If the spot rates on August 31, 2014 are:
INR/US $ = Rs.66.25
Is the decision to take forward cover justified?
Solution
Since the direct quote for ¥ and Rs. is not available it will be calculated by
cross exchange rate as follows:
Rs./$ x $/¥ = Rs./¥
62.22/102.34 = 0.6080
Spot rate on date of export 1¥ = Rs. 0.6080
Expected Rate of ¥ for August 2014 = Rs. 0.5242 (Rs. 65/¥124)
Forward Rate of ¥ for August 2014 = Rs. 0.6026 (Rs. 66.50/¥110.35)
(i) Calculation of expected loss without hedging

295
SFM - COMPILER
Value of export at the time of export (Rs. 0.6080 x ¥10,000,000) Rs.
60,80,000
Estimated payment to be received on Aug. 2014
(Rs. 0.5242 x ¥10,000,000) Rs. 52,42,000
Loss Rs. 8,38,000
Hedging of loss under Forward Cover
Rs. Value of export at the time of export (Rs. 0.6080 x ¥10,000,000) Rs.
60,80,000
Payment to be received under Forward Cover
(Rs. 0.6026 x ¥10,000,000) Rs. 60,26,000
Loss Rs. 54,000
By taking forward cover loss is reduced to Rs. 54,000.
(ii) Actual Rate of ¥ on August 2014 = Rs. 0.5977 (Rs. 66.25/¥110.85)
Value of export at the time of export (Rs. 0.6080 x ¥10,000,000) Rs.
60,80,000
Estimated payment to be received on Aug. 2014
(Rs. 0.5977 x ¥10,000,000) Rs. 59,77,000
Loss Rs. 1,03,000
The decision to take forward cover is still justified.
Question 52: Nov 2014 - RTP
Your forex dealer had entered into a cross currency deal and had sold US
$ 10,00,000 against EURO at US $ 1 = EURO 1.4400 for spot delivery.
However, later during the day, the market became volatile and the dealer
in compliance with his management’s guidelines had to square – up the
position when the quotations were:
Spot US $ 1 INR 61.4300/4500
Spot US $ 1 EURO 1.4250/4350
What will be the gain or loss in the transaction?
Solution
The amount of EURO bought by selling US$
US$ 10,00,000 x EURO 1.4400 = EURO 14,40,000
The amount of EURO sold for
buying USD 10,00,000 x 1.4350 = EURO 14,35,000
Net Gain in the Transaction = EURO 5,000
To sell EURO 5,000 in the market @
(a) USD 1 = EURO 1.4350 &

296 SFM - COMPILER
(b) USD1 = INR 61.4300
Cross Currency buying rate of EUR/INR is Rs. 61.4300 / 1.4350 i.e. Rs.
42.8084
Gain in the Transaction Rs. 42.8084 x 5000 = Rs. 2,14,042.00
Question 53: Nov 2014 – RTP
Followings are the spot exchange rates quoted at three different forex
markets:
USD/INR 59.25/ 59.35 in Mumbai
GBP/INR 102.50/ 103.00 in London
GBP/USD 1.70/ 1.72 in New York
The arbitrageur has USD1,00,00,000. Assuming that bank wishes to retain
an exchange margin of 0.125%, explain whether there is any arbitrage gain
possible from the quoted spot exchange rates.
Solution
The arbitrageur can proceed as stated below to realize arbitrage gains.
(i) Buy GBP at New York for USD USD 1,00,00,000
GBP/USD 1.72
Add: Exchange Margin @ 0.125% 0.002
1.722
Accordingly, GBP acquired in exchange of USD1,00,00,000 is GBP 58,07,200
(ii) Sell these GBP at London Market and get INR
GBP/INR 102.50
Less: Exchange Margin@ 0.125% 0.13
102.37
INR on conversion of GBP (58,07,200 X 102.37) INR 59,44,83,064
(iii) Acquire USD by selling INR at Mumbai
USD/INR 59.35
Add: Exchange Margin @ 0.125% 0.07
59.42
Accordingly, USD acquired in exchange of INR =
59,44,83,064
59.42
= is USD 1,00,04,763
Net Gain (USD 1,00,04,763 - USD 1,00,00,000) USD 4,763
Edelweiss Bank Ltd. sold Hong Kong dollar 2 crores value spot to its
customer at Rs. 8.025 and covered itself in the London market on the same
day, when the exchange rates were
US$ 1 = HK $ 7.5880- 7.5920
Local interbank market rates for US $ were
Spot US $ 1 – Rs. 60.70-61.00
Calculate the cover rate and ascertain the profit or loss on the transaction.
Ignore brokerage.
Solution

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SFM - COMPILER
The bank (Dealer) covers itself by buying from the market at market selling
rate.
Rupee – Dollar selling rate = Rs. 61.00
Dollar – Hong Kong Dollar = HK $ 7.5880
Rupee – Hong Kong cross rate = Rs. 61.00 / 7.5880
= Rs. 8.039
Profit / Loss to the Bank
Amount received from customer (2 crore × 8.025) Rs. 16,05,00,000
Amount paid on cover deal (2 crore × 8.039) Rs. 16,07,80,000
Loss to Bank Rs. 2,80,000
Gibralater Limited has imported 5000 bottles of shampoo at landed cost
in Mumbai, of US $ 20 each. The company has the choice for paying for the
goods immediately or in 3 months time. It has a clean overdraft limited where
14% p.a. rate of interest is charged.
Calculate which of the following method would be cheaper to Gibralter
Limited.
(i) Pay in 3 months time with interest @ 10% and cover risk forward for 3
months.
(ii) Settle now at a current spot rate and pay interest of the overdraft for 3
months.
The rates are as follow :
Mumbai Rs. /$ spot : 60.25-60.55
3 months swap : 35/25
Solution
Option - I
$20 x 5000 = $ 1,00,000
Repayment in 3 months time = $1,00,000 x (1 + 0.10/4) = $ 1,02,500
3-months outright forward rate =Rs.59.90/Rs.
60.30
Repayment obligation in Rs. ($1,02,500 X Rs. 60.30) = Rs. 61,80,750
Option -II
Overdraft ($1,00,000 x Rs. 60.55) Rs. 60,55,000
Interest on Overdraft (Rs. 60,55,000 x 0.14/4) Rs. 2,11,925
Rs. 62,66,925
Option I should be preferred as it has lower outflow.
2015
Sun Ltd. is planning to import equipment from Japan at a cost of 3,400 lakh
yen. The company may avail loans at 18 percent per annum with which it can
import the equipment. The company has also an offer from Osaka branch of

298 SFM - COMPILER
an India based bank extending credit of 180 days at 2 percent per annum
against opening of an irrecoverable letter of credit.
Additional information:
Present exchange rate Rs.100 = 340 yen
180 day’s forward rate Rs.100 = 345 yen
Commission charges for letter of credit at 2 per cent per 12 months.
Advice the company whether the offer from the foreign branch should be
accepted.
Solution
Option I (To finance the purchases by availing loan at 18% per annum):
Cost of equipment Rs.in lakhs
3400 lakh yen at Rs. 100 = 340 yen 1,000.00
Add: Interest at 18% (on Rs. 1000 lakhs) for 6 months 90.00
Total outflow in Rupees 1,090.00
Option II (To accept the offer from foreign branch):
Cost of letter of credit Rs. in lakhs
At 1 % on 3400 lakhs yen at Rs. 100 = 340 yen 10.00
Add: Interest 0.90
(A) 10.90
Payment at the end of 180 days:
Cost 3400.00 lakhs yen
Interest at 2% p.a. [3400 × 2/100 × 180/365] 33.53 lakhs yen
3433.53 lakhs yen
Conversion at Rs. 100
= 345 yen [3433.53 / 345 × 100] (B) = Rs. 995.23 lakhs
Total Cost: (A) + (B) = 1006.13 lakhs
Advise: Option 2 is cheaper by (1090.00 – 1006.13) lakh or 83.87 lakh.
Hence, the offer may be accepted.
An exporter requests his bank to extend the forward contract for US$
20,000 which is due for maturity on 31st October, 2014, for a further period
of 3 months. He agrees to pay the required margin money for such extension
of the contract.
Contracted Rate – US$ 1= Rs. 62.32
The US Dollar quoted on 31-10-2014:-
Spot – 61.5000/61.5200
3 months’ Discount -0.93% /0.87%

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Margin money from bank’s point of view for buying and selling rate is
0.45% and 0.20% respectively.
Compute:
(i) The cost to the importer in respect of the extension of the forward
contract, and
(ii) The rate of new forward contract.
Solution
(i) The contract is to be cancelled on 31-10-2014
at the spot selling rate of US$ 1 = Rs. 61.5200
Add: Margin Money 0.20% = Rs. 0.1230
= Rs. 61.6430 or Rs. 61.64
US$ 20,000 @ Rs. 61.64 = Rs. 12,32,800
US$ 20,000 @ Rs. 62.32 = Rs. 12,46,400
The difference in favour of the Customer = Rs. 13,600
(ii) The Rate of New Forward Contract
Spot Selling Rate US$ 1 = Rs. 61.5000
Less: Discount @ 0.93% = Rs. 0.5720
= Rs. 60.9280
Less: Margin Money 0.45% = Rs. 0.2742
= Rs. 60.6538 or Rs. 60.65
Question 58:May 2015 RTP – Similar to - Question 45 - Nov 2013 –
RTP
DEF Ltd. has imported goods to the extent of US $ 1 crore. The payment
terms are 60 days interest free credit. For additional credit of 30 days,
interest at the rate of 7.75% p.a will be charged.
The banker of DEF Ltd. has offered a 30 days loan at the rate of 9.5% p.a.
Their quote for the foreign exchange is as follows.
Spot rate INR / US $ 62.50
60 days forward rate INR/US $ 63.15
90 days forward rate INR/US $ 63.45
Which one of the following options would be better?
1) Pay the supplier on 60th day and avail bank loan for 30 days
2) Avail the supplier’s offer of 90 days credit.
Solution
(i) Pay the supplier in 60 days

300 SFM - COMPILER
If the payment is made to supplier in 60 days the applicable
forward rate would be for 1 USD Rs. 63.15
Payment Due USD 1,00,00,000
Outflow in Rupees (1,00,00,000 x 63.15) Rs. 63.15 Crores
Add : Interest on loan for 30 days @ 9.5% p.a Rs. 0.50 Crores
Total Outflow Rs. 63.65 Crores
(ii) Availing supplier’s offer of 90 days credit
Amount Payable USD 1 Crore
Add : Interest on the credit period for 30 days @ 7.75% p.a USD 0.00646
Total Outflow USD 1.00646
Applicable forward Rate Rs. 63.45
Total Outflow (1.00646 x 63.45) Rs. 63.86 Crores
Decision : DEF Ltd should pay the supplier in 60 days
Question 60:May 2015 Paper – 8 Marks – Similar to - Question 30
- Nov 2011 Paper – 5 Marks
Question 61:Nov 2015 RTP – Similar to - Question 44 - May 2013 -
Paper – 10 Marks
Question 62:Nov 2015 – RTP – Similar to - Question 49 – May 2014
RTP
Question 63:Nov 2015 – RTP – Similar to - Question 29 - May 2011
RTP
The Bank enters into a forward purchase TT covering an export bill for
Swiss Franc 1,00,000 at Rs. 32.4000 due on 25th April and covered itself for
same delivery in the local inter bank market at Rs. 32.4200. However on 25th
March, exporter sought for cancellation of the contract as the tenor of the bill
is changed.
In Singapore Market, Swiss Francs were quoted against US Dollars as under :
Spot USD 1 = Sws Fcs. 1.5076 / 1.5120
One month Forward 1.5150 / 1.5160
Two month Forward 1.5250 / 1.5270
Three Month Forward 1.5415 / 1.5445
And the interbank market US dollar are quoted as under
Spot USD 1 = Rs. 49.4302 / .4455
One month Forward .4100 / .4200
Two month Forward .4300 / .4400
Three Month Forward .4500 / .4600
Calculate the cancelation charges, payable by the customer if exchange
margin required by the bank is 0.10% on buying and selling

301
SFM - COMPILER
Solution
First the contract will be cancelled at TT Selling Rate
USD/ Rupee Spot Selling Rate Rs. 49.4455
Add: Premium for April Rs. 0.4200
Rs. 49.8655
Add: Exchange Margin @ 0.10% Rs. 0.04987
Rs. 49.91537 Or 49.9154
USD/ Sw. Fcs One Month Buying Rate Sw. Fcs. 1.5150
Sw. Fcs. Spot Selling Rate (Rs. 49.91537/1.5150) Rs. 32.9474
Rounded Off Rs. 32.9475
Bank buys Sw. Fcs. Under original contract Rs. 32.4000
Bank Sells under Cancellation Rs. 32.9475
Difference payable by customer Rs. 00.5475
Exchange difference of Sw. Fcs. 1,00,000 payable by customer Rs.54,750
(Sw. Fcs. 1,00,000 x Rs.0.5475)
Question 65: Nov 2015 – Paper – 8 Marks
XYZ, A company based in India, manufactures very high quality modern
furniture and sells to small no of retail outlets in India and Nepal. It is facing
tough competition. Recent study on the marketability of the products have
clearly indicated that the customer is now more interested in variety and
choice rather than exclusivity and exceptional quality. Since the cost of
quality wood is very high in India, the company is reviving the proposal for
import of woods in bulk from Nepalese supplier.
The estimate of Net Indian Rs.and Nepalese Currency (NC) cash flows for
this proposal is shown below :
Net Cash flows in Millions
Year 0 1 2 3
NC -25.000 2.600 3.800 4.100
Indian (Rs.) 0 2.869 4.200 4.600
The following information is relevant :
(i) XYZ Ltd. evaluates all investments by using a discount rate of 9% P.A. All
Nepalese customers are invoiced in NC. NC cash flows are converted to
Indian (Rs.) at the forward rate and discounted at the Indian Rate.
(ii) Inflation rate in Nepal and India are expected to be 9% and 8% p.a
respectively. The current exchange rate is Rs.1 = NC 1.6.
Assuming that you are finance manager of XYZ, Ltd. Calculate Net
Present Value (NPV)

302 SFM - COMPILER
You may use following values with respect to discount factor for Rs.1 @ 9%.
Present Value Future Value
Year 1 0.917 1.188
Year 2 0.842 1.090
Year 3 0.772 1
Solution
(i) Computation of Forward Rates
Year Nc NC / Rs.
1 1.60 x
1.09
1.08 1.615
2 1.615 x
1.09
1.08 1.630
3 1.630 x
1.09
1.08 1.645
(ii) NC Cash Flows converted in Indian Rupees
Year NC (Million) Conversion Rate Rs. (Million)
0 -25.00 1.600 -15.625
1 2.60 1.615 1.61
2 3.80 1.630 2.33
3 4.10 1.645 2.49
Net Present Value
Year Cash Flow
in India
Cash Flow
in Nepal
Total PVF @
9%
PV
0 --- -15.625 -15.625 1.000 -15.625
1 2.869 1.61 4.479 0.917 4.107
2 4.200 2.33 6.53 0.842 5.498
3 4.600 2.49 7.09 0.772 5.473
-0.547

Question 66 Nov 2015 – Paper – 5 Marks
XYZ, an Indian firm, will need to pay JAPANESE YEN (JY) 5,00,000 on 30th
June. In order to hedge the risk involved in foreign currency transaction, the
firm is considering two alternative methods i.e. forward market cover and
currency option contract.
On 1st April, following quotations (JY/INR) are made available:
Spot 3 months forward
1.9516/1.9711. 1.9726./1.9923
The prices for forex currency option on purchase are as follows:
Strike Price JY 2.125
Call option (June) JY 0.047
Put option (June) JY 0.098

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For excess or balance of JY covered, the firm would use forward rate as future
spot rate.
You are required to recommend cheaper hedging alternative for XYZ.
Solution
(i) Forward Cover
3 month Forward Rate =
1
1.9726
= Rs.0.5070/JY
Accordingly INR required for JY 500000 (500000 × 0.5070) Rs.2,53,500
(ii) Option Cover
To purchase JY500000, XYZ shall enter into a Put Option @JY2.125/INR
Accordingly, outflow in INR (
JY500000
2.125
) Rs.2,35,294
Premium (
INR 2,35,294 x 0.098
1.9516
) Rs.11,815
Rs.2,47,109
Since outflow of cash is least in case of Option same should be opted for.
Further if price of INR goes above JY 2.125/INR the outflow shall further be
reduced.
ABC Ltd., a US Firm, will need £ 5,00,000 in 180 days. In this connection,
the following information is available:
Spot Rate 1£ = $ 2.00
180 days forward rate of £ as of today is $ 1.96
Interest rates are as follows: US UK
180 days deposit rate 5.0% 4.5%
180 days borrowing rate 5.5% 5.0%
A call option on £ that expires in 180 days has an exercise price of $ 1.97 and a
premium of $ 0.04.
ABC Ltd. has forecasted the spot rates for 180 days as below:
Future rate Probability
$ 1.91 30%
$ 1.95 50%
$ 2.05 20%
Which of the following strategies would be cheaper to ABC Ltd.?
(i) Forward Contract;
(ii) A money market hedge;
(iii) A call option contract; and
(iv) No hedging option
Solution
(i) Forward contract: Dollar needed in 180 days
= £5,00,000 x $ 1.96
= $9,80,000/-

304 SFM - COMPILER
(ii) Money market hedge: Borrow $, convert to £, invest £, repay $ loan in
180 days
Amount in £ to be invested = 5,00,000/1.045
= £4,78,469
Amount of $ needed to convert into £ = £4,78,469 x $2
= $9,56,938
Interest and principal on $ loan after 180 days = $9,56,938 x 1.055
= $10,09,570
(iii) Call option:
Expected
Spot rate in
180 days
Prem./
Unit
Exercise
Option
Total
Price
per unit
Total price for
£5,00,000
xi
Prob
.Pi
pixi
1.91 0.04 No 1.95 9,75,000 0.30 2,92,500
1.95 0.04 No 1.99 9,95,000 0.50 4,97,500
2.05 0.04 Yes 2.01* 10,05,000 0.20 2,01,000
9,91,000
*($1.97 + %0.04)
Alternatively it can also be computed by
Expected
Spot rate in
180 days
Prem./
Unit
Exercise
Option
Total
Price
per unit
Total price for
£5,00,000
xi
Prob
.Pi
pixi
1.91 0.04 No 1.95 9,75,000 0.30 2,92,500
1.95 0.04 No 1.99 9,95,000 0.50 4,97,500
2.05 0.04 Yes 2.01* 10,05,000 0.20 2,01,000
Add: Interest on Premium ($20,000 x 5.5%)
9,91,000
1,100
9,92,100
(iv) No hedge option:
Expected future spot rate Dollar needed xi Prob. Pi Pi xi
1.91 9,55,000 0.30 2,86,500
1.95 9,75,000 0.50 4,87,500
2.05 10,25,000 0.20 2,05,000
9,79,000
The probability distribution of outcomes for no hedge strategy
appears to be most preferable because least number of $ are needed
under this option to arrange £5,00,000.
Question 68 May 2016 – RTP
Following are the rates quoted at Mumbai and British Pound (£):
Spot (£/Rs.) 52.60/70 Interest Rates India London
3 m Forward 20/70 3 months 8% 5%
6 m Forward 50/75 6 months 10% 8%
Verify whether there is any scope for covered interest arbitrage, if you can
borrow in rupees.

305
SFM - COMPILER
Solution
Particulars Option I (3 months) Option II (6 months)
Amount Borrowed 1,00,000 1,00,000
Pounds (£) obtained by
converting at spot rate
1,00,000/52.70
= 1897.53
1,00,000/52.70
= 1897.53
Invest pound for the period 1.25% 4%
Amount of pound received
at the end of the period
1897.53 × 1.0125
= 1,921.25
1897.53 × 1.04
= 1,973.43
Convert pounds to Rs. At
forward rate
1,921.25 × 52.80
= 1,01,442
1,973.43 × 53.10
= 1,04,789
Amount of Re. loan to be
repaid
1,00,000 × 1.02
= 1,02,000
1,00,000 × 1.05
= 1,05,000
Since the amount of Indian Rupees to be Received is less than the amount
repaid in both cases there is no scope for covered interest arbitrage by
borrowing in Indian Rupees.
Question 69 - May 2016 – Paper – Similar to - Question 27 - Nov
2010 - Paper – 8 Marks
Question 70 May 2016 – Paper – 8 Marks
ABC Ltd. of UK has exported goods worth Can $ 5,00,000 receivable in 6
months. The exporter wants to hedge the receipt in the forward market. The
following information is available:
Spot Exchange Rate Can $ 2.5/£
Interest Rate in UK 12%
Interest Rate In Canada 15%
The forward rates truly reflect the interest rates differential. Find out the
gain/loss to UK exporter if Can $ spot rates (i) declines 2%, (ii) gains 4% or
(iii) remains unchanged over next 6 months.
Solution
Forward Rate =
𝟐.𝟓𝟎 (𝟏+𝟎.𝟎𝟕𝟓)
(𝟏+𝟎.𝟎𝟔𝟎)
= Can$2.535/£
(i) If spot rate decline by 2%
Spot rate = Can$2.50 x 1.02 = Can$2.55/£
£
£ receipt as per Forward Rate
(Can$ 5,00,000/Can$2.535)
1,97,239
£ receipt as per Spot Rate
(Can$ 5,00,000/Can$2.55)
1,96,078
Gain due to forward contract 1,161
(ii) If Spot rate gains by 4%
Spot Rate = Can$2.50 x 0.96 = Can$2.40/£
£
(Can$ 5,00,000/Can$2.535)
1,97,239
(Can$ 5,00,000/Can$2.40)
2,08,333
Loss due to forward contract 11,094

306 SFM - COMPILER
(iii) Is spot rate remains unchanged
£
(Can$ 5,00,000/Can$2.535)
1,97,239
(Can$ 5,00,000/Can$2.50)
2,00,000
Loss due to forward contract 2,761
Question 71 Nov 2016 – RTP
XYZ Ltd. is an export oriented business house based in Mumbai. The
Company invoices in customers’ currency. Its receipt of US $ 1,00,000 is due
on September 1, 2009.
Market information as at June 1 2009 is
Exchange Rates US$/Rs. Exchange Rates
US$/Rs.
Contract
Size
Spot 0.02140 Currency Futures
1 Month Forward 0.02136 June 0.02126 Rs.4,72,000
3 Months Forward 0.02127 September 0.02118
Initial Margin (Rs.) Interest Rates in India %
June 10,000 7.50 p.a.
September 15,000 8.00 p.a.
Suppose the XYZ Ltd. has opted for Future Contracts for hedging the risk and
on September 1, 2009 the spot rate US $/Rs.is 0.02133 and currency future
rate is 0.02134, then what will be the variation margin in INR to settle the
futures contract.
Solution
The number of contracts needed (1,00,000/0.02118)/4,72,000 = 10
Initial margin payable (10 × Rs.15,000) = Rs.1,50,000
Variation Margin to settle the Future Contract
[(0.02134 – 0.02118) × 10 × 472000/-]/0.02133 = Rs.35,406
or (0.00016 × 10 × 472000)/.02133 = 755.20/0.02133
Question 72 Nov 2016 – RTP
A Ltd. of U.K. has imported some chemical worth of USD 3,64,897 from one
of the U.S. suppliers. The amount is payable in six months’ time. The relevant
spot and forward rates are:
Spot rate USD 1.5617-1.5673
6 months forward rate USD 1.5455-1.5609
The borrowing rates in U.K. and U.S. are 7% and 6% respectively and the
deposit rates are 5.5% and 4.5% respectively.
Currency options are available under which one option contract is for US$
21250. The option premium for US$ at a strike price of GBP 0.58825/USD is
GBP 0.036 (call option) and GBP 0.056 (put option) for 6 months period.
The company has 3 choices:
(i) Forward cover
(ii) Money market cover, and
(iii) Currency option
Which of the alternatives is preferable by the company?

307
SFM - COMPILER
Solution
In the given case, the exchange rates are indirect. These can be converted into
direct rates as follows:
Spot rate
GBP =
1
USD 1.5617
to
1
USD 1.5673
USD = GBP 0.64033 – GBP 0.63804
6 months forward rate
GBP =
1
USD 1.5455
to
1
USD 1.5609
USD = GBP 0.64704 – GBP 0.64066
Payoff in 3 alternatives
i. Forward Cover
Amount payable USD 3,64,897
Forward rate GBP 0.64704
Payable in GBP GBP 2,36,103
Accounts / admin
ii. Money market Cover
Amount payable
PV @ 4.5% for 6 months i.e.1/1.0225 = 0.97779951
Spot rate purchase
Borrow GBP 3,56,867 x 0.64033
Interest for 6 months @ 7 %
USD 3,64,897
USD 3,56,867
GBP 0.64033
GBP 2,28,513
7,998
-
Payable after 6 months GBP 2,36,511
iii. Currency options
Amount payable
Unit in Options contract
Number of contracts USD 3,64,897/ USD 21,250
Exposure covered USD 21,250 x 17
Exposure to be covered by Forward
(USD 3,64,897 – USD 3,61,250)
Options premium 17 x USD 21,250 x 0.036
Total payment in currency option
Payment under option (17 x 21,250 x 0.58825)
Premium payable
USD 3,64,897
USD 21,250
17.17
USD 3,61,250
USD 3,647
GBP 13,005
GBP 2,12,505
GBP 13,005

308 SFM - COMPILER
Payment for forward cover (USD 3,647 x 0.64704) GBP 2,360
GBP 2,27,870
Thus total payment in:
(i) Forward Cover 2,36,103 GBP
(ii) Money Market 2,36,511 GBP
(iii) Currency Option 2,27,870 GBP
The company should take currency option for hedging the risk.
On April 3, 2016, a Bank quotes the following:
Spot exchange Rate (US $ 1) INR 66.2525 INR 67.5945
2 months’ swap points 70 90
3 months’ swap points 160 186
In a spot transaction, delivery is made after two days.
Assume spot date as April 5, 2016.
Assume 1 swap point = 0.0001,
You are required to:
(i) Ascertain swap points for 2 months and 15 days. (For June 20, 2016),
(ii) Determine foreign exchange rate for June 20, 2016, and
(iii) Compute the annual rate of premium/discount of US$ on INR, on an
average rate.
Solution
(i) Swap Points for 2 months and 15 days
Bid Ask
Swap Points for 2 Months (a)
Swap Points for 3 Months (b)
70
160
90
186
Swap Points for 30 days (c) = (b) – (a) 90 96
Swap Points for 15 days (d) = (c)/2 45 48
Swap Points for 2 Months & 15 days (e) = (a)+(d) 115 138
(ii) Foreign Exchange rates for 20th June 2016
Bid Ask
Spot Rate (a)
Swap Points for 2 months & 15 days (b)
66.2525
0.0115
67.5945
0.0138
66.2640 67.6083
(iii) Annual Rate of Premium
Bid Ask
Spot Rate (a)
Foreign Exchange Rates for 20th
June 2016 (b)
Premium (c)
66.2525
66.2640
0.0115
67.5945
67.6083
0.0138
Total (d) = (a) + (b) 132.5165 135.2028
Average (d)/2 66.2583 67.6014
Premium 0.0115
66.2583
×
12
2.5
× 100
= 0.0833%
0.0138
67.6014
×
12
2.5
× 100
=0.0980%

309
SFM - COMPILER
LMN Ltd. is an export oriented business house based in Mumbai. The
Company invoices in customer's currency. The receipt of US $ 6,00,000 is
due on 1st September, 2016.
Market information as at 1st June 2016 is
Exchange Rates US$/Rs. Exchange Rates
US$/Rs.
Contract
Size
Spot 0.01471 Currency Futures
1 Month Forward 0.01464 June 0.01456 Rs.30,00,000
3 Months Forward 0.01458 September 0.01449
Initial Margin (Rs.) Interest Rates in India %
June 12,000 8.00 p.a.
September 16,000 8.50 p.a.
On 1st September, 2016, the spot rate US $/Rs.is 0.01461 and currency futures
rate is US $/ Rs.0.01462.
It may be assumed that variation in Margin would be settled on the maturity
of the futures contract.
Which of the following methods would be most advantageous for LMN Ltd.:
(i) using Forward Contract,
(ii) using Currency Futures; and
(iii) not hedging Currency Risks
Show the calculations and comment.
Solution
Receipts using a forward contract (6,00,000/0.1458)
Receipts using currency futures
The number of contracts needed is
(6,00,000/0.1449)/30,00,000 = 13.80 say 14 contracts
Initial margin payable is 14 × Rs.16,000 = Rs.2,24,000
On September 1 Close at 0.01462
Receipts = US%6,00,000/0.1461
= Rs.4,11,52,263
= 4,10,67,672
Variation Margin
= [(0.01462-0.01449)×14×30,00,000]/0.01461
OR (0.00013×14×3000000)/.01461 = 5,460/0.01461 3,73,717
Less: Interest Cost – 2,24,000 × 0.085 × 3/12
4,14,41,479
Rs.4,760
Net Receipts Rs.4,14,36,719
Receipts under different methods of hedging
Forward contract
Futures
No Hedge
US$6,00,000/0.01461
The most advantageous option would have been to hedge
with futures
Rs.4,11,52,263
Rs.4,14,36,719
Rs.4,10,67,762
On 10th July, an importer entered into a forward contract with bank for US $
50,000 due on 10th September at an exchange rate of Rs.66.8400. The bank
covered its position in the interbank market at Rs.66.6800.
How the bank would react if the customer requests on 20th September:

310 SFM - COMPILER
(i) to cancel the contract?
(ii) to execute the contract?
(iii) to extend the contract with due date to fall on 10th November?
The exchange rates for US$ in the interbank market were as below:
10th September 20th September
Spot US$1 =
Spot/September
Spot/October
Spot/November
66.1500/1700
66.2800/3200
66.4100/4300
66.5600/6100
65.9600/9900
66.1200/1800
66.2500/3300
66.4000/4900
Exchange margin was 0.1% on buying and selling.
Interest on outlay of funds was 12% p.a.
You are required to show the calculations to:
(i) cancel the Contract,
(ii) execute the Contract, and
(iii) extend the Contract as above.
Solution
In each of the case first the FEADI Rule of Automatic Cancellation shall be
applied and customer shall pay the charges consisted of following:
(a) Exchange Difference
(b) Swap Loss
(c) Interest on Outlay Funds
(a) Exchange Difference
(1) Cancellation Rate:
The forward sale contract shall be cancelled at Spot TT Purchase for $
prevailing on the date of cancellation as follows:
$/Rs. Market Buying Rate
Less: Exchange Margin @ 0.10%
Rs.65.9600
Rs.0.0660
Rs.65.8940
Rounded off to Rs.65.8950
(2) Amount payable on $ 50,000
Bank Sells $50,000 @ Rs.66.8400
Bank Buys $50,000 @ Rs.65.8950
Rs.33,42,000
Rs.32,94,750
Amount payable by customer Rs.47,250
(b) Swap Loss
On 10th September the bank does a swap sale of $ at market buying rate
of Rs.66.1500 and forward purchase for September at market selling rate
of Rs.66.3200.
Bank buys at
Bank sells at
Rs.66.3200
Rs.66.1500
Amount payable by customer Rs.0.1700
Swap Loss for $ 50,000 in Rs. = Rs.8,500
(c) Interest on Outlay of Funds
On 10thSeptember, the bank receives delivery under cover contract at
Rs.66.6800 and sell spot at Rs.66.1500.
Bank buys at
Bank sells at
Rs.66.6800
Rs.66.1500

311
SFM - COMPILER
Amount payable by customer Rs.0.5300
Outlay for $ 50,000 in Rs.26,500
Interest on Rs.26,500 @ 12% for 10 days Rs.87
(d) Total Cost
Cancellation Charges
Swap Loss
Interest
Rs.47,250
Rs.8,500
Rs.87
Rs.55,837
(e) New Contract Rate
The contract will be extended at current rate
$/Rs. Market forward selling rate for November
Add: Exchange Margin @ 0.10%
Rs.66.4900
Rs.0.0665
Rs.66.5565
Rounded off to Rs.66.5575
(iv) Charges for Cancellation of Contract
= Rs.55,838.00 or Rs.55,837.00
(v) Charges for Execution of Contract
Charges for Cancellation of Contract
Spot selling US$50,000 on 20th September at
Rs.65.9900 + 0.0660 (Exchange Margin)
= Rs.66.0560 rounded to Rs.66.0550
Rs.55,837
Rs.33,02,750
Rs.33,58,587
(vi) Charges for Extension of Contract
Charges for Cancellation of Contract
New Forward rate
55,837
Rs.66.5575
A company is considering hedging its foreign exchange risk. It has made a
purchase on 1st July, 2016 for which it has to make a payment of US$ 60,000
on December 31, 2016. The present exchange rate is 1 US $ = Rs.65. It can
purchase forward 1 $ at Rs.64. The company will have to make an upfront
premium @ 2% of the forward amount purchased. The cost of funds to the
company is 12% per annum.
In the following situations, compute the profit/loss the company will make if
it hedges its foreign exchange risk with the exchange rate on 31st December,
2016 as
(i) Rs.68 per US $.
(ii) Rs.62 per US $.
(iii) Rs.70 per US $.
(iv) Rs.65 per US $.
Solution
(Rs.)
Present Exchange Rate Rs.65 = 1 US$
If company purchases US$60,000 forward premium is
60,000 × 64 × 2%
Interest on Rs.76,800 for 6 months at 12%
76,800
4,608
Total hedging cost
If exchange rate is Rs.68
81,408

312 SFM - COMPILER
Then gain (Rs.68 – Rs.64) for US$ 60,000
Less: Hedging cost
2,40,00
81,408
Net gain
If US$ = Rs.62
Then loss (Rs.64-Rs.62) for US$ 60,000
Add: Hedging Cost
1,58,592
1,20,000
81,408
Total Loss
If US$ = Rs.70
Less: Hedging cost
2,01,408
3,60,000
81,408
Total Gain
If US$ = Rs.65
Less: Hedging cost
2,78,592
60,000
81,408
Net Loss 21,408
Question 77 May 2017 – RTP
Bharat Silk Limited, an established exporter of silk materials, has a surplus of
US$ 20 million as on 31st May 2015. The banker of the company informs the
following exchange rates that are quoted at three different forex markets:
GBP/ INR 99.10 at London
INR/ GBP 0.01 at London
USD/ INR 64.10 at Mumbai
INR/ US$ 0.02 at Mumbai
USD/ GBP 0.65 at New York
GBP/ USD 1.5530 at New York
Assuming that there are no transaction costs, advice the company how to
avail the arbitrage gain from the above quoted spot exchange rates.
Solution
The company can proceed in the following ways to realise arbitrage gain:
(a) Buy Rupees from US$ at Mumbai: Rs.64.10 x US$ 2,00,00,000
= Rs.128,20,00,000
(b) Convert Rupees from US$ at London: Rs.128,20,00,000/99.10
= GBP 1,29,36,427.85
(c) Convert GBP into US$ at New York = GBP 1,29,36,427.85 x 1.5530
= US$ 2,00,90,272.45
There is a Net Gain of = US$ 2,00,90,272.45 - US$ 2,00,00,000
= US$ 90,272.45
Question 78 May 2017 – Paper – 5 Marks
A USA based company is planning to set up a software development unit in
India. Software developed at the Indian unit will be bought back by the US
parent at a transfer price of US $200 Lakhs. The unit will remain in existence
in India for one year; the software is expected to get developed within this
time frame.

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