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TIME VALUE OF MONEY
TIME VALUE OF MONEY
-ONE OF THE LIMITATION OF PROFIT
  MAXIMISATION IS IGNORING THE TIME
  VALUE OF MONEY .
-AT THE SAME TIME IT DOES NOT CONSIDER
  THE MAGNITUDE AND TIMING OF EARNINGS
- TO OVERCOME THE LIMITATIONS OF PROFIT
  MAXIMISATION FIRMS CONSIDER THE
  OBJECTIVE OF WEALTH MAXIMISATION.
MOST OF THE FINANCIAL DECISIONS SUCH AS
INVESTMENT DECISION FINANCING DECISION
AND DIVIDEND DECISION INVOLVES CASH
FLOWS (INFLOW AND OUTFLOW) OCCURRING
IN DIFFERENT TIME PERIODS.
FOR EXAMPLE INVESTMENT ON A PROJECT
REQUIRES AN IMMEDIATE CASH OUTFLOW AND
IT WILL GENERATE CASH INFLOWS DURING ITS
LIFE PERIOD.
IN SHORT COMPARISON OF CASH FLOWS
INVOLVES A LOGICAL WAY TO RECOGNISE THE
TIME VALUE OF MONEY.
• “ THE FIRM CAN MAXIMISE WEALTH ONLY
 WHEN IT IS ABLE TO RECOGNISE THE TIME
 VALUE OF MONEY AND RISK”
Time value of money
Concept:
The time value of money received today is more than the
       value of same amount of money received after a
       certain period.
Time preference for money:
Options of time period for receivables.
(v) Immediate
(vi) Later
Reasons for time preference for money
(viii) Uncertainty and loss
(ix) To satisfy present needs
(x) Investment opportunities.
RATIONALE OF TIME PREFERENCE
         FOR MONEY
• UNCERTAINTY- FUTURE IS UNCERTAIN AND
  IT INVOLES RISK. HENCE HE/SHE WOULD
  LIKE TO PREFER TO RECEIVE CASH TODAY
  INSTEAD IN THE FUTURE.
• EXAMPLE- BIRD IN YOUR HAND AND THERE
  ARE TWO BIRDS IN THE BUSH
• WHICH ONE DO YOUR PREFER?
• CURRENT CONSUMPTION: MOST OF THE
  PEOPLE GENERALLY PREFER TO USE THE
  PRESENT MONEY FOR SATISFYING THE
  PRESENT NEEDS.
• POSSIBILITY OF INVESTMENT
  OPPORTUNITY
  ANOTHER REASON WHY INDIVIDUALS
  PREFER PRESENT MONEY IS DUE TO THE
  POSSIBILITY OF INVESTMENT OPPORTUNITY
  THROUGH WHICH THEY CAN EARN
  ADDITIONAL CASH
Technique of time value of money
• Compounding technique
The interest earned on the principal amount becomes a
  part of principal at the end of the compounding
  period.
To determine the future value of money.
 Formula Method Future Value (FV)= P(1+i)n
 Lumpsum Method
     P=Principal, i = interest, n = number of years
 Table Value – used when period of maturity is long.
 Multiple compounding periods – interest calculated
  half-yearly, quarterly or every month. FV=P(1 +
  i/m)mxn
m = Number of times per year
 compounding is made
Ex: Mr.Kavin deposits Rs.20,000 for 3
 years at 10% interest.
Series of payment
Annuity- series of equal annual payments
 or investments made at the end of the
 each year for a particular period.
• Discounting or present value technique
Money to be received in future date will be less because we
  have lost the opportunity cost in the form of interest.
Computation of present value:
 Lump sum
PV = Fv/ (1+i)n
 Discount factor Tables
 Series of payment
PV= F1 / (1+i) + F2 / (1+i)2 + ….. Fn / (1+i)n
 Annuity
At the end
PV= A / (1+i) + A / (1+i)2 + ….. A / (1+i)n
At the beginning
PV= A+ A / (1+i) + A / (1+i)2 + ….. A/ (1+i)n
INTRODUCTION TO THE CONCEPT OF RISK AND
                RETURN

• RISK- IS PRESENT IN EVERY
  DECISION WHETHER IT IS
  CORPORATE DECISION OR
  PERSONAL DECISION.
• FOR EXAMPLE SELECTIN OF AN
  ASSET FOR PRODUCTION
  DEPARTMENT OR DEVELOPIN A NEW
  PRODUCT OR FINANCIAL DECISION
  LIKE
• DEVELOPING CAPITAL STRUCTURE
• WORKING CAPITAL MANAGEMENT
  AND DIVIDEND DECISION
• THEREFORE THE DECISION MAKERS
  HAVE TO ASSESS RISK AND RETURN
  OF SECURITY BEFORE TAKING ANY
  FINANCIAL DECISION
RISK IS THE CHANCE OF FINANCIAL
LOSS OR THE VARIABILITY OF
RETURNS ASSOCIATED WITH A GIVEN
ASSET.
Risk.

Variability of actual return from the expected returns associated with a
      given asset.
= more risk in security more return-more variability.
= less variability-less risk.
                     measurement of risk.
5.    Behavioural.
           - sensitivity analysis.
           - probability ( distribution ).
8.    Quantitative/statistical.
           - standard deviation.
           - co-efficient of variation.
Behavioural Method

Sensitivity analysis.
• Considered number of possible outcomes/return while assessing
  risk.
• Estimate worst ( pessimistic ) expected ( most likely ) and best
  ( optimistic ) return.
• Level of outcome is related to state of economy – recession,
  normals, boom condition.
• ( optimistic-pessimistic outcome ) = range.
• If Increase in range, increase in variability, increase in risk in asset.
Probability distribution
• Likelihood/percentage chance of an event occurrence.
      Ex: if outcome/return is 7 out of 10 then chance of occurrence is
  70%.              n

Expected return R = Σ Ri X Pri
                   i=1


Ri= return for the ith possible outcome.
Pri = probability associated with its return.
N= number of outcome considered.
Quantitative method
1.Standard deviation of return:
Square root of the average squared deviations of the
  individual returns from the expected returns.
        n
 σ=      Σ (Ri-R)2 X Pri
       i=1

Greater the standard deviation of returns, greater the
   variability of return and greater the risk of the asset
   /investment.
2. Co-efficient of variation:
Measure of risk per unit of expected return.
   CV= σr / R
σ= standard deviation
R= expected return

The lager the CV , larger the risk of the asset.
Objectives of measuring risk
• The objective of measuring risk is not to
  eliminate or avoid it because it is not
  feasible to do so.
• But it helps as in assessing and
  determining whether the proposed
  investment is worth or not
  Risk is the chance of financial loss or the
  variability of returns associated with a
  given asset
Examples
• For example government bond is less
  risky because the principal amount and
  return (interest) are guaranteed.
• On the other hand investment on a
  company stock is risky because of the
  high variability (0 to above zero of returns)
Risk and Return of single asset.

Return:
Income received plus any change in market price of an asset.
R= Dt + ( Pt – pt-1)/ Pt-1
D=annual income/ cash divided at the end of time t.
Pt= security price at time period t ( closing/ending ).
Pt-1= security price at t-1 ( opening/beginning ).
7.   Capital gain/ loss= ( ending price-beginning price )/beginning
     price.
8.   Current field= annual income/beginning price.
Return
• All the investors assess risk of an
  investment on the basis of the variability of
  returns expected form its over a maturity
  period or life period or expected holding
  period.
• Return on an investment is an annual
  income received during the period plus
  change in value.
• For example and investor A invested
  Rs.1000 on an firm’s share and received
  Rs.100 as dividend at the end of the year,
  and share is selling at the Rs.1200 here
  the return is Rs.300
  ( dividend + inc in share price)
• Return is expressed in terms of
  percentage on the beginning of the
  investment
Classification of risk
• Diversifiable risk
• Market risk
• Diversifiable risk is company specific and
  it can be completely eliminated through
  diversification.
• Market risk arises from market movement
  and which cannot be eliminated through
  diversification

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Time value of money

  • 2. TIME VALUE OF MONEY -ONE OF THE LIMITATION OF PROFIT MAXIMISATION IS IGNORING THE TIME VALUE OF MONEY . -AT THE SAME TIME IT DOES NOT CONSIDER THE MAGNITUDE AND TIMING OF EARNINGS - TO OVERCOME THE LIMITATIONS OF PROFIT MAXIMISATION FIRMS CONSIDER THE OBJECTIVE OF WEALTH MAXIMISATION.
  • 3. MOST OF THE FINANCIAL DECISIONS SUCH AS INVESTMENT DECISION FINANCING DECISION AND DIVIDEND DECISION INVOLVES CASH FLOWS (INFLOW AND OUTFLOW) OCCURRING IN DIFFERENT TIME PERIODS. FOR EXAMPLE INVESTMENT ON A PROJECT REQUIRES AN IMMEDIATE CASH OUTFLOW AND IT WILL GENERATE CASH INFLOWS DURING ITS LIFE PERIOD. IN SHORT COMPARISON OF CASH FLOWS INVOLVES A LOGICAL WAY TO RECOGNISE THE TIME VALUE OF MONEY.
  • 4. • “ THE FIRM CAN MAXIMISE WEALTH ONLY WHEN IT IS ABLE TO RECOGNISE THE TIME VALUE OF MONEY AND RISK”
  • 5. Time value of money Concept: The time value of money received today is more than the value of same amount of money received after a certain period. Time preference for money: Options of time period for receivables. (v) Immediate (vi) Later Reasons for time preference for money (viii) Uncertainty and loss (ix) To satisfy present needs (x) Investment opportunities.
  • 6. RATIONALE OF TIME PREFERENCE FOR MONEY • UNCERTAINTY- FUTURE IS UNCERTAIN AND IT INVOLES RISK. HENCE HE/SHE WOULD LIKE TO PREFER TO RECEIVE CASH TODAY INSTEAD IN THE FUTURE. • EXAMPLE- BIRD IN YOUR HAND AND THERE ARE TWO BIRDS IN THE BUSH • WHICH ONE DO YOUR PREFER?
  • 7. • CURRENT CONSUMPTION: MOST OF THE PEOPLE GENERALLY PREFER TO USE THE PRESENT MONEY FOR SATISFYING THE PRESENT NEEDS.
  • 8. • POSSIBILITY OF INVESTMENT OPPORTUNITY ANOTHER REASON WHY INDIVIDUALS PREFER PRESENT MONEY IS DUE TO THE POSSIBILITY OF INVESTMENT OPPORTUNITY THROUGH WHICH THEY CAN EARN ADDITIONAL CASH
  • 9. Technique of time value of money • Compounding technique The interest earned on the principal amount becomes a part of principal at the end of the compounding period. To determine the future value of money.  Formula Method Future Value (FV)= P(1+i)n  Lumpsum Method P=Principal, i = interest, n = number of years  Table Value – used when period of maturity is long.  Multiple compounding periods – interest calculated half-yearly, quarterly or every month. FV=P(1 + i/m)mxn
  • 10. m = Number of times per year compounding is made Ex: Mr.Kavin deposits Rs.20,000 for 3 years at 10% interest. Series of payment Annuity- series of equal annual payments or investments made at the end of the each year for a particular period.
  • 11. • Discounting or present value technique Money to be received in future date will be less because we have lost the opportunity cost in the form of interest. Computation of present value:  Lump sum PV = Fv/ (1+i)n  Discount factor Tables  Series of payment PV= F1 / (1+i) + F2 / (1+i)2 + ….. Fn / (1+i)n  Annuity At the end PV= A / (1+i) + A / (1+i)2 + ….. A / (1+i)n At the beginning PV= A+ A / (1+i) + A / (1+i)2 + ….. A/ (1+i)n
  • 12. INTRODUCTION TO THE CONCEPT OF RISK AND RETURN • RISK- IS PRESENT IN EVERY DECISION WHETHER IT IS CORPORATE DECISION OR PERSONAL DECISION. • FOR EXAMPLE SELECTIN OF AN ASSET FOR PRODUCTION DEPARTMENT OR DEVELOPIN A NEW PRODUCT OR FINANCIAL DECISION LIKE
  • 13. • DEVELOPING CAPITAL STRUCTURE • WORKING CAPITAL MANAGEMENT AND DIVIDEND DECISION • THEREFORE THE DECISION MAKERS HAVE TO ASSESS RISK AND RETURN OF SECURITY BEFORE TAKING ANY FINANCIAL DECISION
  • 14. RISK IS THE CHANCE OF FINANCIAL LOSS OR THE VARIABILITY OF RETURNS ASSOCIATED WITH A GIVEN ASSET.
  • 15. Risk. Variability of actual return from the expected returns associated with a given asset. = more risk in security more return-more variability. = less variability-less risk. measurement of risk. 5. Behavioural. - sensitivity analysis. - probability ( distribution ). 8. Quantitative/statistical. - standard deviation. - co-efficient of variation.
  • 16. Behavioural Method Sensitivity analysis. • Considered number of possible outcomes/return while assessing risk. • Estimate worst ( pessimistic ) expected ( most likely ) and best ( optimistic ) return. • Level of outcome is related to state of economy – recession, normals, boom condition. • ( optimistic-pessimistic outcome ) = range. • If Increase in range, increase in variability, increase in risk in asset.
  • 17. Probability distribution • Likelihood/percentage chance of an event occurrence. Ex: if outcome/return is 7 out of 10 then chance of occurrence is 70%. n Expected return R = Σ Ri X Pri i=1 Ri= return for the ith possible outcome. Pri = probability associated with its return. N= number of outcome considered.
  • 18. Quantitative method 1.Standard deviation of return: Square root of the average squared deviations of the individual returns from the expected returns. n σ= Σ (Ri-R)2 X Pri i=1 Greater the standard deviation of returns, greater the variability of return and greater the risk of the asset /investment. 2. Co-efficient of variation: Measure of risk per unit of expected return. CV= σr / R σ= standard deviation R= expected return The lager the CV , larger the risk of the asset.
  • 19. Objectives of measuring risk • The objective of measuring risk is not to eliminate or avoid it because it is not feasible to do so. • But it helps as in assessing and determining whether the proposed investment is worth or not Risk is the chance of financial loss or the variability of returns associated with a given asset
  • 20. Examples • For example government bond is less risky because the principal amount and return (interest) are guaranteed. • On the other hand investment on a company stock is risky because of the high variability (0 to above zero of returns)
  • 21. Risk and Return of single asset. Return: Income received plus any change in market price of an asset. R= Dt + ( Pt – pt-1)/ Pt-1 D=annual income/ cash divided at the end of time t. Pt= security price at time period t ( closing/ending ). Pt-1= security price at t-1 ( opening/beginning ). 7. Capital gain/ loss= ( ending price-beginning price )/beginning price. 8. Current field= annual income/beginning price.
  • 22. Return • All the investors assess risk of an investment on the basis of the variability of returns expected form its over a maturity period or life period or expected holding period. • Return on an investment is an annual income received during the period plus change in value.
  • 23. • For example and investor A invested Rs.1000 on an firm’s share and received Rs.100 as dividend at the end of the year, and share is selling at the Rs.1200 here the return is Rs.300 ( dividend + inc in share price) • Return is expressed in terms of percentage on the beginning of the investment
  • 24. Classification of risk • Diversifiable risk • Market risk • Diversifiable risk is company specific and it can be completely eliminated through diversification. • Market risk arises from market movement and which cannot be eliminated through diversification