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ESSENTIALOF
FINANCIALMANAGEMENT
Prepared by
Mrs.S.Jeyashree M Com....
Assistant Professor
Department of Commerce
UNIT I
Nature of Financial Management
FINANCE
1. Finance is the life-blood of business. Without finance
neither any business can be started nor successfully run .
2. Finance is needed to promote or establish business, acquire
fixed assets, make necessary investigations, develop
product keep man and machines at work ,encourage
management to make progress and create values.
3. Finance is the managerial activity which is concerned with
planning and controlling of the firms Financial Resources.
Definitions of Financial Management
• The most popular and acceptable definition of
financial management as given by S.C. Kuchalis
that “Financial Management deals with
procurement of funds and their effective utilization
in the business”.
• The term financial management has been defined
by Solomon It is concerned with the efficient use of
an important economic resource namely, capital
funds”.
NATURE OF FINANCIAL MANAGEMENT
1. Analytical Thinking:
Under financial management financial problems are analyzed
and considered. Study of trend of actual figures is made and ratio
analysis is done.
2. Continuous Process:
Previously financial management was required rarely but now the
financial manager remains busy throughout the year.
3. Basis of Management Decisions:
All managerial decisions relating to finance are taken after
considering the report prepared by the finance manager. The
financial management is the base of managerial decisions.
4. Maintaining balance between Risk and Profitability:
Larger the risk in the business larger is the expectation of
profits.Financial management maintains balance between risk and
profitability.
5. Coordination between Process:
There is always a coordination between various processed business.
6. Centralized Nature:
Financial management is of a centralized nature. Other activities can
be decentralized but there is only one department for financial
management.
SCOPE OF FINANCIAl MANAGEMENT
1. Financial Management and Economics :
Economic concepts like micro and macroeconomics are
directly applied with the financial management approaches.
Investment decisions, micro and macro environmental factors
are closely associated with the functions of financial manager.
2. Financial Management and Accounting :
Accounting records includes the financial information of the
business concern. Hence we can easily understand the
relationship between the financial management and
accounting.
3. Financial Management or Mathematics:
Economic order quantity, discount factor, time value of money,
present value of money, cost of capital, capital structure theories,
dividend theories, ratio analysis and working capital analysis are
used as mathematical and statistical tools and techniques in the
field of financial management.
4 . Financial Management and Production Management :
Production management is the operational part of the business
concern, which helps to multiple the money into profit. Profit of
the concern depends upon the production performance.
Production performance needs finance. because,production
department requires raw material,
machinery,wages,operating expenses etc.
Finance Functions
• Investment Decision
• Finance Decision
• Divident decision
• Liquidity Decision
InvestmentDecisions
Most important of the three decisions.
• What is the optimal firm size?
• What specific assets should be acquired?
• What assets (if any) should be reduced or
eliminated?
Investment decisions
What assets should the company hold? This determines the
left-hand side of the balance sheet. these decision are
concerned with the effective utilization of funds in one
activity or the other. The investment decision can be classified
under two groups-
(i) Long term investment decision
(ii) Short term investment decision
The former are referred to as the capital budgeting
and the latter as working capital management.
FinanceDecisions
Determine how the assets (LHS of balance
sheet) will be financed (RHS of balance sheet).
• What is the best type of financing?
• What is the best financing mix?
• What is the best dividend policy (e.g.,
dividend-payout ratio)?
• How will the funds be physically acquired?
Finance Decision
1. Financial decision is yet another important function
which a financial manger must perform. It is important to
make wise decisions about when, where and how
should a business acquire funds.
2. Funds can be acquired through many ways and
channels. Broadly speaking a correct ratio of an equity
and debt has to be maintained. This mix of equity
capital and debt is known as a firm’s capital structure.
DIVIDEND DECISION
Dividend decisions - What should be done with the profits of
the business? The dividend decision is concerned with
determining how much part of the earning should be
distributed among the share holders by way of dividend
and how much should be retained in the business for meeting
the future needs of funds internally.
DIVIDEND DECISION
• Earning profit or a positive return is a common aim of all
the businesses. But the key function a financial manger
performs in case of profitability is to decide whether to
distribute all the profits to the shareholder or retain all the
profits or distribute part of the profits to the shareholder
and retain the other half in the business.
• It’s the financial manager’s responsibility to decide a
optimum dividend policy which maximizes the market
value of the firm. Hence an optimum dividend payout
ratio is calculated.
Liquidity Decision
• It is very important to maintain a liquidity position of a
firm to avoid insolvency. Firm’s profitability, liquidity and
risk all are associated with the investment in current
assets.
• In order to maintain a tradeoff between profitability and
liquidity it is important to invest sufficient funds in current
assets. But since current assets do not earn anything for
business therefore a proper calculation must be done
before investing in current assets.
Financial Manager
A financial manger is a person who takes care of all the
important financial functions of an organization. The person
in charge should maintain a far sightedness in order to
ensure that the funds are utilized in the most efficient
manner.
His/Her actions directly affect the Profitability, growth and
goodwill of the firm.
Role of a Financial Manager
• Raising of Funds
• Allocation of Funds
• Profit Planning
• Understanding Capital Markets
Raising of Funds
• In order to meet the obligation of the business it is important
to have enough cash and liquidity. A firm can raise funds by
the way of equity and debt.
• It is the responsibility of a financial manager to decide the
ratio between debt and equity. It is important to maintain a
good balance between equity and debt.
Allocation of Funds
The funds should be allocated in such a manner that they are
optimally used. In order to allocate funds in the best possible
manner the following point must be considered
The size of the firm and its growth capability
Status of assets whether they are long-term or short-term
Mode by which the funds are raised
These financial decisions directly and indirectly influence
other managerial activities. Hence formation of a good asset
mix and proper allocation of funds is one of the most
important activity
Profit Planning
• Profit earning is one of the prime functions of any
business organization.
• Profit earning is important for survival and sustenance of
any organization. Profit planning refers to proper usage
of the profit generated by the firm.
• Profit arises due to many factors such as pricing,
industry competition, state of the economy, mechanism
of demand and supply, cost and output.
• A healthy mix of variable and fixed factors of production
can lead to an increase in the profitability of the firm.
Understanding Capital Markets
• Shares of a company are traded on stock exchange and there
is a continuous sale and purchase of securities. Hence a clear
understanding of capital market is an important function of a
financial manager.
• When securities are traded on stock market there involves a
huge amount of risk involved. Therefore a financial manger
understands and calculates the risk involved in this trading of
shares and debentures.
• Its on the discretion of a financial manager as to how to
distribute the profits. Many investors do not like the firm to
distribute the profits amongst share holders as dividend
instead invest in the business itself to enhance growth.
Objectives of financial management
The objective of financial management are considered
usually at two levels –at macro level and micro level.
three primary objectives are commonly explained as the
Objective of financial management-
1. Maximization of profits
2. Maximization of return
3. Maximization of wealth
Maximization of profits
Profit earning is the main aim of every economic activity.
Profit maximization simply means maximizing the income of
the firm . Economist are of the view that profits can be
maximized when the difference of total revenue over total
cost is maximum, or in other words total revenue is greater
than the total cost.
Maximization of return
Some authorities on financial management
conclude that maximization of return provide
a basic guideline by which financial decision
should be evaluated .
Maximization of wealth
ford
According
university
to prof.
, the
Solomon Ezra of stand
ultimate goal of financial
management should be the maximization of the
owners wealth. The value of corporate wealth may
be interpreted in terms of the value of the company’s
total assets. The finance should attempt to maximize
the value of the enterprise to its shareholders. Value
is represented by the market price of the company’s
common stock.
• The basis of all investment decisions is to earn
returnand assume risk
• By investing, investors expect to earn a return (expected
return)
Understandingthe investment decision
 Realized returns(actual return) might be more or less than
the expected return
 The chance that the actual return on an investment will
be different from the expected return is called risk
 This way t-bills has no risk as the expected return and actual
return are the same
 But actual returns on common stock have greater chances of
deviating from expected return and hence have high risk
Expected return and risk
Risk-Return Tradeoff
• The expected risk-return is depicted in the graph
• The line from RFR shows risk-return relationship of different
investment alternatives.
• It shows that at zero level of risk, investor can earn risk free
rate (RFR) which is equal to the rate on t-bills
To earn a little higher return than the risk free rate, investors
can invest in corporate bonds, but the investors will have to
take some risk as well
The expected risk-return trade-off
Time Preference for Money
31
• Time preference for money is an
individual’s preference for possession of a given amount
of money now, rather than the same amount at some
future time.
• Three reasons may be attributed to the individual’s
time preference for money:
– risk
– preference for consumption
– investment opportunities
Required Rate of Return
32
• The time preference for money is generally expressed by an
interest rate. This rate will be positive even in the absence of
any risk. It may be therefore called the risk-free rate.
• An investor requires compensation for assuming risk,
which is called risk premium.
• The investor’s required rate of return is: Risk-free rate
+ Risk premium.
Time ValueAdjustment
33
• Two most common methods of adjusting cash flows for
time value of money:
– Compounding—the process of calculating future
values of cash flows and
– Discounting—the process of calculating present values
of cash flows.
FutureValue
34
• Compounding is the process of finding the future values of
cash flows by applying the concept of compound interest.
• Compound interest is the interest that is received on the
original amount (principal) as well as on any interest
earned but not withdrawn during earlier periods.
• Simple interest is the interest that is calculated only on the
original amount (principal), and thus, no compounding of
interest takes place.
FutureValue
35
• The general form of equation for calculating the future
value of a lump sum after n periods may, therefore, be
written as
follows:
n
Fn  P (1  i)
Example
36
• If you deposited Rs 55,650 in a bank, which was paying a
15 per cent rate of interest on a ten-year time deposit,
how much would the deposit grow at the end of ten
years?
• We will first find out the compound value factor at 15
per cent for 10 years which is
4.046. Multiplying 4.046 by Rs 55,650, we get Rs
225,159.90 as the compound value
Future Valueof an Annuity
37
• Annuity is a fixed payment (or receipt) each year for a
specified number of years. If you rent a flat and promise to
make a series of payments over an agreed period, you
have created an annuity.
i
(1 i)n
1
Fn  A 
 
• The term within brackets is the compound value factor for
an annuity of Re 1, which we shall refer as CVFA.
Fn =ACVFAn,i
Example
38
• Suppose that a firm deposits Rs 5,000 at the end of each
year for four years at 6 per cent rate of interest. How
much would this annuity accumulate at the end of the
fourth year? We first find CVFA which is 4.3746. If we
multiply 4.375 by Rs 5,000, we obtain a compound value
of Rs 21,875:
F4 5,000(CVFA4, 0.06 ) 5,000 4.3746 Rs 21,873
Sinking Fund
39
• Sinking fund is a fund, which is created out of fixed
payments each period to accumulate to a future sum after a
specified period. For example, companies generally create
sinking funds to retire bonds (debentures) on maturity.
• The factor used to calculate the annuity for a
n n
i
factor (SFFA).= F
given future sum

is called
the sinking fund
(1 i) 1
 
PresentValue
40
• Present value of a future cash flow (inflow or outflow) is
the amount of current cash that is of equivalent value to
the decision- maker.
• Discounting is the process of determining present value
of a series of future cash flows.
• The interest rate used for discounting cash flows is also
called the discount rate.
Present Value of a Single Cash Flow
41
• The following general formula can be employed to
calculate the present value of a lump sum to be received
after some future periods:
• The term in parentheses is the discount factor or present
value factor (PVF), and it is always less than 1.0 for
positive i, indicating that a future amount has a smaller
present value.
PV  Fn  PVFn,i
Fn
(1  i)n
 n
n
P   F  
(1  i)
 
Example
42
• Suppose that an investor wants to find out the present
value of Rs 50,000 to be received after 15 years. Her
interest rate is 9 per cent. First, we will find out the
present value factor, which is 0.275. Multiplying 0.275 by
Rs 50,000, we obtain Rs 13,750 as the present value:
PV = 50,000 PVF15, 0.09 = 50,0000.275 = Rs 13,750
Present Value of an Annuity
n
i
• The computation of the present value of an annuity can
be written in the following general form:1
1 
P  A  
i 1 i

   
• The term within parentheses is the present value factor
of an annuity of Re 1, which we would call PVFA
Capital Recovery and Loan Amortisation
44
• Capital recovery is the annuity of an investment made today
for a specified period of time at a given rate of interest.
Capital recovery factor helps in the preparation of a loan
amortisation (loan repayment) schedule.
1
 
A = P PVAF

 n,i 
A = P × CRFn,i
The reciprocal of the present value annuity factor is called the
capital recovery factor (CRF).
Present Valueof an Uneven Periodic Sum
45
• Investments made by of a firm do not frequently yield
constant periodic cash flows (annuity). In most instances
the firm receives a stream of uneven cash flows. Thus
the present value factors for an annuity cannot be used.
The procedure is to
calculate the present value of each cash flow and
aggregate all present values.
Present Value of Perpetuity
• Perpetuity is an annuity that occurs indefinitely.
Perpetuities are not very common in financial
decision-making:
Perpetuity
Present value of a perpetuity 
Interest rate
Present Value of Growing Annuities
47
• The present value of a constantly growing annuity is
given below:
• Present value of a constantly growing perpetuity is
given by a simple formula as follows:

A 1 g 
n

P = 1   
i  g 1 i
   
P =
i – g
A
Value of an Annuity Due
• Annuity due is a series of fixed receipts or payments
starting at the beginning of each period for a specified
number of periods.
• Future Value of an Annuity Due
• Fn = A CVFAn,i × (1 i)
48
n,i
Multi-Period Compounding
49
• If compounding is done more than once a year, the
actual annualised rate of interest would be higher than
the nominal interest rate and it is called the effective
interest
rate. –1
 i 
nm
EIR = 1
m
 
50
CONCLUSION

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conceptual learning for FM Unit-1-1.pptx

  • 1. ESSENTIALOF FINANCIALMANAGEMENT Prepared by Mrs.S.Jeyashree M Com.... Assistant Professor Department of Commerce
  • 2. UNIT I Nature of Financial Management
  • 3. FINANCE 1. Finance is the life-blood of business. Without finance neither any business can be started nor successfully run . 2. Finance is needed to promote or establish business, acquire fixed assets, make necessary investigations, develop product keep man and machines at work ,encourage management to make progress and create values. 3. Finance is the managerial activity which is concerned with planning and controlling of the firms Financial Resources.
  • 4. Definitions of Financial Management • The most popular and acceptable definition of financial management as given by S.C. Kuchalis that “Financial Management deals with procurement of funds and their effective utilization in the business”. • The term financial management has been defined by Solomon It is concerned with the efficient use of an important economic resource namely, capital funds”.
  • 5. NATURE OF FINANCIAL MANAGEMENT 1. Analytical Thinking: Under financial management financial problems are analyzed and considered. Study of trend of actual figures is made and ratio analysis is done. 2. Continuous Process: Previously financial management was required rarely but now the financial manager remains busy throughout the year. 3. Basis of Management Decisions: All managerial decisions relating to finance are taken after considering the report prepared by the finance manager. The financial management is the base of managerial decisions.
  • 6. 4. Maintaining balance between Risk and Profitability: Larger the risk in the business larger is the expectation of profits.Financial management maintains balance between risk and profitability. 5. Coordination between Process: There is always a coordination between various processed business. 6. Centralized Nature: Financial management is of a centralized nature. Other activities can be decentralized but there is only one department for financial management.
  • 7. SCOPE OF FINANCIAl MANAGEMENT 1. Financial Management and Economics : Economic concepts like micro and macroeconomics are directly applied with the financial management approaches. Investment decisions, micro and macro environmental factors are closely associated with the functions of financial manager. 2. Financial Management and Accounting : Accounting records includes the financial information of the business concern. Hence we can easily understand the relationship between the financial management and accounting.
  • 8. 3. Financial Management or Mathematics: Economic order quantity, discount factor, time value of money, present value of money, cost of capital, capital structure theories, dividend theories, ratio analysis and working capital analysis are used as mathematical and statistical tools and techniques in the field of financial management. 4 . Financial Management and Production Management : Production management is the operational part of the business concern, which helps to multiple the money into profit. Profit of the concern depends upon the production performance. Production performance needs finance. because,production department requires raw material, machinery,wages,operating expenses etc.
  • 9. Finance Functions • Investment Decision • Finance Decision • Divident decision • Liquidity Decision
  • 10. InvestmentDecisions Most important of the three decisions. • What is the optimal firm size? • What specific assets should be acquired? • What assets (if any) should be reduced or eliminated?
  • 11. Investment decisions What assets should the company hold? This determines the left-hand side of the balance sheet. these decision are concerned with the effective utilization of funds in one activity or the other. The investment decision can be classified under two groups- (i) Long term investment decision (ii) Short term investment decision The former are referred to as the capital budgeting and the latter as working capital management.
  • 12. FinanceDecisions Determine how the assets (LHS of balance sheet) will be financed (RHS of balance sheet). • What is the best type of financing? • What is the best financing mix? • What is the best dividend policy (e.g., dividend-payout ratio)? • How will the funds be physically acquired?
  • 13. Finance Decision 1. Financial decision is yet another important function which a financial manger must perform. It is important to make wise decisions about when, where and how should a business acquire funds. 2. Funds can be acquired through many ways and channels. Broadly speaking a correct ratio of an equity and debt has to be maintained. This mix of equity capital and debt is known as a firm’s capital structure.
  • 14. DIVIDEND DECISION Dividend decisions - What should be done with the profits of the business? The dividend decision is concerned with determining how much part of the earning should be distributed among the share holders by way of dividend and how much should be retained in the business for meeting the future needs of funds internally.
  • 15. DIVIDEND DECISION • Earning profit or a positive return is a common aim of all the businesses. But the key function a financial manger performs in case of profitability is to decide whether to distribute all the profits to the shareholder or retain all the profits or distribute part of the profits to the shareholder and retain the other half in the business. • It’s the financial manager’s responsibility to decide a optimum dividend policy which maximizes the market value of the firm. Hence an optimum dividend payout ratio is calculated.
  • 16. Liquidity Decision • It is very important to maintain a liquidity position of a firm to avoid insolvency. Firm’s profitability, liquidity and risk all are associated with the investment in current assets. • In order to maintain a tradeoff between profitability and liquidity it is important to invest sufficient funds in current assets. But since current assets do not earn anything for business therefore a proper calculation must be done before investing in current assets.
  • 17. Financial Manager A financial manger is a person who takes care of all the important financial functions of an organization. The person in charge should maintain a far sightedness in order to ensure that the funds are utilized in the most efficient manner. His/Her actions directly affect the Profitability, growth and goodwill of the firm.
  • 18. Role of a Financial Manager • Raising of Funds • Allocation of Funds • Profit Planning • Understanding Capital Markets
  • 19. Raising of Funds • In order to meet the obligation of the business it is important to have enough cash and liquidity. A firm can raise funds by the way of equity and debt. • It is the responsibility of a financial manager to decide the ratio between debt and equity. It is important to maintain a good balance between equity and debt.
  • 20. Allocation of Funds The funds should be allocated in such a manner that they are optimally used. In order to allocate funds in the best possible manner the following point must be considered The size of the firm and its growth capability Status of assets whether they are long-term or short-term Mode by which the funds are raised These financial decisions directly and indirectly influence other managerial activities. Hence formation of a good asset mix and proper allocation of funds is one of the most important activity
  • 21. Profit Planning • Profit earning is one of the prime functions of any business organization. • Profit earning is important for survival and sustenance of any organization. Profit planning refers to proper usage of the profit generated by the firm. • Profit arises due to many factors such as pricing, industry competition, state of the economy, mechanism of demand and supply, cost and output. • A healthy mix of variable and fixed factors of production can lead to an increase in the profitability of the firm.
  • 22. Understanding Capital Markets • Shares of a company are traded on stock exchange and there is a continuous sale and purchase of securities. Hence a clear understanding of capital market is an important function of a financial manager. • When securities are traded on stock market there involves a huge amount of risk involved. Therefore a financial manger understands and calculates the risk involved in this trading of shares and debentures. • Its on the discretion of a financial manager as to how to distribute the profits. Many investors do not like the firm to distribute the profits amongst share holders as dividend instead invest in the business itself to enhance growth.
  • 23. Objectives of financial management The objective of financial management are considered usually at two levels –at macro level and micro level. three primary objectives are commonly explained as the Objective of financial management- 1. Maximization of profits 2. Maximization of return 3. Maximization of wealth
  • 24. Maximization of profits Profit earning is the main aim of every economic activity. Profit maximization simply means maximizing the income of the firm . Economist are of the view that profits can be maximized when the difference of total revenue over total cost is maximum, or in other words total revenue is greater than the total cost.
  • 25. Maximization of return Some authorities on financial management conclude that maximization of return provide a basic guideline by which financial decision should be evaluated .
  • 26. Maximization of wealth ford According university to prof. , the Solomon Ezra of stand ultimate goal of financial management should be the maximization of the owners wealth. The value of corporate wealth may be interpreted in terms of the value of the company’s total assets. The finance should attempt to maximize the value of the enterprise to its shareholders. Value is represented by the market price of the company’s common stock.
  • 27. • The basis of all investment decisions is to earn returnand assume risk • By investing, investors expect to earn a return (expected return) Understandingthe investment decision
  • 28.  Realized returns(actual return) might be more or less than the expected return  The chance that the actual return on an investment will be different from the expected return is called risk  This way t-bills has no risk as the expected return and actual return are the same  But actual returns on common stock have greater chances of deviating from expected return and hence have high risk Expected return and risk
  • 30. • The expected risk-return is depicted in the graph • The line from RFR shows risk-return relationship of different investment alternatives. • It shows that at zero level of risk, investor can earn risk free rate (RFR) which is equal to the rate on t-bills To earn a little higher return than the risk free rate, investors can invest in corporate bonds, but the investors will have to take some risk as well The expected risk-return trade-off
  • 31. Time Preference for Money 31 • Time preference for money is an individual’s preference for possession of a given amount of money now, rather than the same amount at some future time. • Three reasons may be attributed to the individual’s time preference for money: – risk – preference for consumption – investment opportunities
  • 32. Required Rate of Return 32 • The time preference for money is generally expressed by an interest rate. This rate will be positive even in the absence of any risk. It may be therefore called the risk-free rate. • An investor requires compensation for assuming risk, which is called risk premium. • The investor’s required rate of return is: Risk-free rate + Risk premium.
  • 33. Time ValueAdjustment 33 • Two most common methods of adjusting cash flows for time value of money: – Compounding—the process of calculating future values of cash flows and – Discounting—the process of calculating present values of cash flows.
  • 34. FutureValue 34 • Compounding is the process of finding the future values of cash flows by applying the concept of compound interest. • Compound interest is the interest that is received on the original amount (principal) as well as on any interest earned but not withdrawn during earlier periods. • Simple interest is the interest that is calculated only on the original amount (principal), and thus, no compounding of interest takes place.
  • 35. FutureValue 35 • The general form of equation for calculating the future value of a lump sum after n periods may, therefore, be written as follows: n Fn  P (1  i)
  • 36. Example 36 • If you deposited Rs 55,650 in a bank, which was paying a 15 per cent rate of interest on a ten-year time deposit, how much would the deposit grow at the end of ten years? • We will first find out the compound value factor at 15 per cent for 10 years which is 4.046. Multiplying 4.046 by Rs 55,650, we get Rs 225,159.90 as the compound value
  • 37. Future Valueof an Annuity 37 • Annuity is a fixed payment (or receipt) each year for a specified number of years. If you rent a flat and promise to make a series of payments over an agreed period, you have created an annuity. i (1 i)n 1 Fn  A    • The term within brackets is the compound value factor for an annuity of Re 1, which we shall refer as CVFA. Fn =ACVFAn,i
  • 38. Example 38 • Suppose that a firm deposits Rs 5,000 at the end of each year for four years at 6 per cent rate of interest. How much would this annuity accumulate at the end of the fourth year? We first find CVFA which is 4.3746. If we multiply 4.375 by Rs 5,000, we obtain a compound value of Rs 21,875: F4 5,000(CVFA4, 0.06 ) 5,000 4.3746 Rs 21,873
  • 39. Sinking Fund 39 • Sinking fund is a fund, which is created out of fixed payments each period to accumulate to a future sum after a specified period. For example, companies generally create sinking funds to retire bonds (debentures) on maturity. • The factor used to calculate the annuity for a n n i factor (SFFA).= F given future sum  is called the sinking fund (1 i) 1  
  • 40. PresentValue 40 • Present value of a future cash flow (inflow or outflow) is the amount of current cash that is of equivalent value to the decision- maker. • Discounting is the process of determining present value of a series of future cash flows. • The interest rate used for discounting cash flows is also called the discount rate.
  • 41. Present Value of a Single Cash Flow 41 • The following general formula can be employed to calculate the present value of a lump sum to be received after some future periods: • The term in parentheses is the discount factor or present value factor (PVF), and it is always less than 1.0 for positive i, indicating that a future amount has a smaller present value. PV  Fn  PVFn,i Fn (1  i)n  n n P   F   (1  i)  
  • 42. Example 42 • Suppose that an investor wants to find out the present value of Rs 50,000 to be received after 15 years. Her interest rate is 9 per cent. First, we will find out the present value factor, which is 0.275. Multiplying 0.275 by Rs 50,000, we obtain Rs 13,750 as the present value: PV = 50,000 PVF15, 0.09 = 50,0000.275 = Rs 13,750
  • 43. Present Value of an Annuity n i • The computation of the present value of an annuity can be written in the following general form:1 1  P  A   i 1 i      • The term within parentheses is the present value factor of an annuity of Re 1, which we would call PVFA
  • 44. Capital Recovery and Loan Amortisation 44 • Capital recovery is the annuity of an investment made today for a specified period of time at a given rate of interest. Capital recovery factor helps in the preparation of a loan amortisation (loan repayment) schedule. 1   A = P PVAF   n,i  A = P × CRFn,i The reciprocal of the present value annuity factor is called the capital recovery factor (CRF).
  • 45. Present Valueof an Uneven Periodic Sum 45 • Investments made by of a firm do not frequently yield constant periodic cash flows (annuity). In most instances the firm receives a stream of uneven cash flows. Thus the present value factors for an annuity cannot be used. The procedure is to calculate the present value of each cash flow and aggregate all present values.
  • 46. Present Value of Perpetuity • Perpetuity is an annuity that occurs indefinitely. Perpetuities are not very common in financial decision-making: Perpetuity Present value of a perpetuity  Interest rate
  • 47. Present Value of Growing Annuities 47 • The present value of a constantly growing annuity is given below: • Present value of a constantly growing perpetuity is given by a simple formula as follows:  A 1 g  n  P = 1    i  g 1 i     P = i – g A
  • 48. Value of an Annuity Due • Annuity due is a series of fixed receipts or payments starting at the beginning of each period for a specified number of periods. • Future Value of an Annuity Due • Fn = A CVFAn,i × (1 i) 48 n,i
  • 49. Multi-Period Compounding 49 • If compounding is done more than once a year, the actual annualised rate of interest would be higher than the nominal interest rate and it is called the effective interest rate. –1  i  nm EIR = 1 m  