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Islamic profit
             rate swap
             simplified
Off balance sheet hedging
of the on balance sheet
benchmark rate risk Tariqullah Khan
Rate is always   Bank 1 finances 10
                   cars, for 5 years
   fixed in        $9 price per car
 Murabahah         and $1 markup
                  rate per car total
as it is based   financing $100; to
 on the price       be repaid in 5
                    equal annual
 mechanism           installments

Fixed rate murabahah
LIBOR            There is a
After signing
the contract    Benchmark
market rates      rate risk
may change

Value of $1 over time vis-
 à-vis the market rates
Speculate Close the    Speculate on
           risk on     balance sheet
 and do                 & hedge the
           balance
 nothing    sheet     gap off balance
                           sheet
   1          2             3
  Alternatives available
regarding benchmark rate
           risk
Very risky & not allowed by
regulatory authorities



   Speculate & do
      nothing
Always, easier said than done




 Close the risk on
  balance sheet
A   Covert the fixed rate
    Murabahah (the $1) into a
    floating rate

     How to hedge

Q    against the
     benchmark rate
     risk?
A
    Swap the fixed rate
    with a floating rate
    Murabahah

    How to convert

Q   the fixed rate into
    a floating rate?
A
     Yes true, but make a series
     of separate Murabahah
     contracts for a series of
     different time periods


    But as a price isn't ,


Q   Murabahah has to be a
    fixed rate not floating
    rate?
A fixed rate   A floating
murabahah      rate
               murabahah
               (numbers of
               contracts)
And we will have
Now swap the fixed rate
murabahah for the series of
floating rate murabahahs




Profit rate swap
2. We need one    3. We need 5 separate
   fixed rate      murabahah contracts
  murabahah              one each
 contract for 5   corresponding to the 5
   years with           installment
 equal annual       repayments on the
  repayments          fixed contract
1. We need a profit rate swap
 master agreement between
      Bank 1 & Bank 2
Islamic Bank 1 will sell 10
    cars on installment to
    Islamic Bank 2 at the rate
    of 10$ per car to be
    repaid yearly in 5 equal
    installments.
The Profit rate swap
Master Agreement
Islamic Bank 2 at the time
    of each installment
    payment will instead sell 2
    cars to Islamic Bank 1 at
    the rate of $9+LIBOR per
    car
Profit rate swap
Master Agreement
At the time of settling
    installments nothing
    except the difference of
    LIBOR from $9 will be
    paid.

Profit rate swap
Master Agreement
RATE




                             RATE
                             CARS
                                            BANK2




                            BANK 1
                                           BUYER OF




                           FLOATING
                           BUYER OF
                                          CARS FIXED
                          Murabahah 1     First
                          for 2 cars $9   installment $20
                          each +LIBOR     due

                          Murabahah 2     Second
                          for 2 cars $9   installment $
                          each +LIBOR     20 due

                          Murabahah 3     Third
                          for 2 cars $9   installment $20
                          each +LIBOR     due

                          Murabahah 4     Fourth
                          for 2 cars $9   installment $20
                          each +LIBOR     due

                          Murabahah 5     Fifth
                          for 2 cars $9   installment
                                                            Fixed rate Murabahah




                          each +LIBOR     $20 due
Floating rate Murabahah
                                           RATE
                                           FIXED
                                          SELLER




                             RATE
                             CARS
                                          BANK 1

                                          OF CARS




                            BANK2


                           FLOATING
                           SELLER OF
Fixed and Floating rate swap
• Bank A sells 10 cars to Bank B for   Bank B sells 10 cars to Bank A for
  $ 90 +$10 and Bank B will make       $ 90 +LIBOR
  payments in 5 equal installments     two cars each when the installment is
  for $ 20 each.                       due.
   – January 30 ($18 +$2)
   – February 30 ($18 +$2)                 MPO1 January 30     ($18 +LIBOR)
                                           MPO2 February 30    ($18 +LIBOR)
   – March 30       ($18 +$2)              MPO3 March 30        ($18 +LIBOR)
   – April 30       ($18+ $2)              MPO4 April 30        ($18+ LIBOR)
   – May 30         ($18 +$2)              MPO5 May 30         ($18+LIBOR)

 Bank A will receive fixed               Bank A will pay floating
          rate                                    rate

 Bank B will pay fixed rate            Bank B will receive floating
                                                   rate
Net positions
• Bank A as seller           • Bank A as buyer pays
$2receives +$2 +$2
   + $2 +$2                  LIBOR +LIBOR +LIBOR
                             +LIBOR +LIBOR
Bank B as seller receives    Bank B as buyer pays
LIBOR +LIBOR +LIBOR +LIBOR   $2 + $2 +$2 +$2 +$2
+LIBOR



   Price of the cars same in each case
No party is interested in
  cars; both parties are
 interested in cash flows
corresponding to only the
 $1 in each installments

    IMPORTANT
So, for all practical purposes the
    profit rate swap is about
exchanging the difference of the
 $1 and the LIBOR per 1 car on
 the time when the payment of
        installment is due
Bank 1 receives $1 on the   Bank 2 receives LIBOR on
first Murabahah but pays    the second Murabahah but
LIBOR on the second         pays $1 on the first
Murabahah per car           Murabahah per car
Islamic Bank 1 has sold 10 cars to Islamic bank 2,
$9 per car + $1 markup per car (total due debt
$100) to be repaid in $20 annual installments

Islamic bank 1 has bought 10 cars from
Islamic bank 2 in 5 different contracts for two
cars each at the price of $9+LIBOR each car; a
contract will correspond to a an installment
repayment on the fixed contract


Summary
End of year 1 of the fixed rate murabahah
contract Islamic bank 2 has to pay $20 as
first installment of the $100 total financing

  B      Instead, now in the framework of
         the master profit rate swap
  U      agreement, Islamic bank 2 will sell
  T      2 cars for $9+LIBOR each car


Example 1
Islamic bank 2 has     Islamic bank 1 has to pay
to pay $20 as first          $ 9+LIBOR (one car)
installment to         +$9+LIBOR (another car)
Islamic bank 1         ie., $18+LIBOR to Islamic
                                         bank 2
Suppose the effective LIBOR cost is $2.5
for this contract, Islamic bank 1 will have
to pay $18+$2.5 = $20.5

Example 2
Islamic bank 2 has     Islamic bank 1 has
to pay $20 as first    to pay $20.5 as
installment on the     cost of the
contract               contract
No other cash flow except the $0.5 will take
place
   $0.5 is the net settlement
 amount on the first installment
   & the corresponding first
     Murabahah contract
Likewise the net settlement
    amount on the other
     installments and the
 corresponding murababah
contracts will depend on the
 effective LIBOR on the date
         of settlement
The arrangement shows that Islamic
bank 1 whose assets are tied up in fixed
rate earnings prefers to create floating
rate payments; Islamic bank 2 whose
payment liabilities are tied up in fixed
rate likes to create floating rate income



                      Why?
Because,
they want to free
themselves from the
worries of interest
(benchmark) rate risk
Terribly indeed!

How important is interest
rate (benchmark) rate
risk?
BIS reported total OTC derivative
contracts outstanding (billion US $)
              683,814
                            604,622       582,655
516,407




     Jun-07        Jun-08        Jun-09        Jun-10
commodity      credit
               0%            5% others
                                  7%
                      Equity           FX
                       1%
                                      9%


 June 2010 BIS data
  % composition of                interest rate
  global derivative                derivatives
      markets                         72%



Terribly important
because, look at this %
components of global
BIS reported data
       Jun-2010


     options     FRAs
      11%        12%




               Interest rate
                  swaps
                   78%
Market Risk in Islamic Banks
are perceived high too
3.1

 3

2.9

2.8

2.7

2.6

2.5
           credit risk       market risk       liquidity risk   operational risk

      Source: Results of Khan and Ahmed 2001 market perception study

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Islamic profit rate swap

  • 1. Islamic profit rate swap simplified Off balance sheet hedging of the on balance sheet benchmark rate risk Tariqullah Khan
  • 2. Rate is always Bank 1 finances 10 cars, for 5 years fixed in $9 price per car Murabahah and $1 markup rate per car total as it is based financing $100; to on the price be repaid in 5 equal annual mechanism installments Fixed rate murabahah
  • 3. LIBOR There is a After signing the contract Benchmark market rates rate risk may change Value of $1 over time vis- à-vis the market rates
  • 4. Speculate Close the Speculate on risk on balance sheet and do & hedge the balance nothing sheet gap off balance sheet 1 2 3 Alternatives available regarding benchmark rate risk
  • 5. Very risky & not allowed by regulatory authorities Speculate & do nothing
  • 6. Always, easier said than done Close the risk on balance sheet
  • 7. A Covert the fixed rate Murabahah (the $1) into a floating rate How to hedge Q against the benchmark rate risk?
  • 8. A Swap the fixed rate with a floating rate Murabahah How to convert Q the fixed rate into a floating rate?
  • 9. A Yes true, but make a series of separate Murabahah contracts for a series of different time periods But as a price isn't , Q Murabahah has to be a fixed rate not floating rate?
  • 10. A fixed rate A floating murabahah rate murabahah (numbers of contracts) And we will have
  • 11. Now swap the fixed rate murabahah for the series of floating rate murabahahs Profit rate swap
  • 12. 2. We need one 3. We need 5 separate fixed rate murabahah contracts murabahah one each contract for 5 corresponding to the 5 years with installment equal annual repayments on the repayments fixed contract 1. We need a profit rate swap master agreement between Bank 1 & Bank 2
  • 13. Islamic Bank 1 will sell 10 cars on installment to Islamic Bank 2 at the rate of 10$ per car to be repaid yearly in 5 equal installments. The Profit rate swap Master Agreement
  • 14. Islamic Bank 2 at the time of each installment payment will instead sell 2 cars to Islamic Bank 1 at the rate of $9+LIBOR per car Profit rate swap Master Agreement
  • 15. At the time of settling installments nothing except the difference of LIBOR from $9 will be paid. Profit rate swap Master Agreement
  • 16. RATE RATE CARS BANK2 BANK 1 BUYER OF FLOATING BUYER OF CARS FIXED Murabahah 1 First for 2 cars $9 installment $20 each +LIBOR due Murabahah 2 Second for 2 cars $9 installment $ each +LIBOR 20 due Murabahah 3 Third for 2 cars $9 installment $20 each +LIBOR due Murabahah 4 Fourth for 2 cars $9 installment $20 each +LIBOR due Murabahah 5 Fifth for 2 cars $9 installment Fixed rate Murabahah each +LIBOR $20 due Floating rate Murabahah RATE FIXED SELLER RATE CARS BANK 1 OF CARS BANK2 FLOATING SELLER OF
  • 17. Fixed and Floating rate swap • Bank A sells 10 cars to Bank B for Bank B sells 10 cars to Bank A for $ 90 +$10 and Bank B will make $ 90 +LIBOR payments in 5 equal installments two cars each when the installment is for $ 20 each. due. – January 30 ($18 +$2) – February 30 ($18 +$2) MPO1 January 30 ($18 +LIBOR) MPO2 February 30 ($18 +LIBOR) – March 30 ($18 +$2) MPO3 March 30 ($18 +LIBOR) – April 30 ($18+ $2) MPO4 April 30 ($18+ LIBOR) – May 30 ($18 +$2) MPO5 May 30 ($18+LIBOR) Bank A will receive fixed Bank A will pay floating rate rate Bank B will pay fixed rate Bank B will receive floating rate
  • 18. Net positions • Bank A as seller • Bank A as buyer pays $2receives +$2 +$2 + $2 +$2 LIBOR +LIBOR +LIBOR +LIBOR +LIBOR Bank B as seller receives Bank B as buyer pays LIBOR +LIBOR +LIBOR +LIBOR $2 + $2 +$2 +$2 +$2 +LIBOR Price of the cars same in each case
  • 19. No party is interested in cars; both parties are interested in cash flows corresponding to only the $1 in each installments IMPORTANT
  • 20. So, for all practical purposes the profit rate swap is about exchanging the difference of the $1 and the LIBOR per 1 car on the time when the payment of installment is due Bank 1 receives $1 on the Bank 2 receives LIBOR on first Murabahah but pays the second Murabahah but LIBOR on the second pays $1 on the first Murabahah per car Murabahah per car
  • 21. Islamic Bank 1 has sold 10 cars to Islamic bank 2, $9 per car + $1 markup per car (total due debt $100) to be repaid in $20 annual installments Islamic bank 1 has bought 10 cars from Islamic bank 2 in 5 different contracts for two cars each at the price of $9+LIBOR each car; a contract will correspond to a an installment repayment on the fixed contract Summary
  • 22. End of year 1 of the fixed rate murabahah contract Islamic bank 2 has to pay $20 as first installment of the $100 total financing B Instead, now in the framework of the master profit rate swap U agreement, Islamic bank 2 will sell T 2 cars for $9+LIBOR each car Example 1
  • 23. Islamic bank 2 has Islamic bank 1 has to pay to pay $20 as first $ 9+LIBOR (one car) installment to +$9+LIBOR (another car) Islamic bank 1 ie., $18+LIBOR to Islamic bank 2 Suppose the effective LIBOR cost is $2.5 for this contract, Islamic bank 1 will have to pay $18+$2.5 = $20.5 Example 2
  • 24. Islamic bank 2 has Islamic bank 1 has to pay $20 as first to pay $20.5 as installment on the cost of the contract contract No other cash flow except the $0.5 will take place $0.5 is the net settlement amount on the first installment & the corresponding first Murabahah contract
  • 25. Likewise the net settlement amount on the other installments and the corresponding murababah contracts will depend on the effective LIBOR on the date of settlement
  • 26. The arrangement shows that Islamic bank 1 whose assets are tied up in fixed rate earnings prefers to create floating rate payments; Islamic bank 2 whose payment liabilities are tied up in fixed rate likes to create floating rate income Why?
  • 27. Because, they want to free themselves from the worries of interest (benchmark) rate risk
  • 28. Terribly indeed! How important is interest rate (benchmark) rate risk?
  • 29. BIS reported total OTC derivative contracts outstanding (billion US $) 683,814 604,622 582,655 516,407 Jun-07 Jun-08 Jun-09 Jun-10
  • 30. commodity credit 0% 5% others 7% Equity FX 1% 9% June 2010 BIS data % composition of interest rate global derivative derivatives markets 72% Terribly important because, look at this % components of global
  • 31. BIS reported data Jun-2010 options FRAs 11% 12% Interest rate swaps 78%
  • 32. Market Risk in Islamic Banks are perceived high too 3.1 3 2.9 2.8 2.7 2.6 2.5 credit risk market risk liquidity risk operational risk Source: Results of Khan and Ahmed 2001 market perception study