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1
Rohit mishra
Look ahead
Definition of Time Value of Money
Why time is important ?
Notations
Formulas
Example Calculation
Calculation using Tables
Benefits of the Knowledge of Time Value of Money
2
Introduction
Definition:
time value of money is the premise that an
investor prefers to receive a payment of a fixed
amount of money today, rather than an equal
amount in the future, all else being equal.
3
Source: http://en.wikipedia.org/wiki/Time_value_of_money
Time Value of Money
Which would you rather have -- $1,000 today or $1,000 in 5
years?
Money received sooner rather than later allows one to use
the funds for investment or consumption purposes.
All other factors being equal, it is better to have $1,000
today.
Simply put this is the concept of the time value of money.
4
Importance of Time Factor
Why is TIMETIME such an important element in your
decision?
5
TIME allows one the opportunity to postpone
consumption and earn INTEREST.
Calculations based on the time value of money
Present Value (PV) of an amount that will be
received in the future.
Future Value (FV) of an amount invested (such
as in a deposit account) now at a given rate of
interest.
Present Value of an Annuity (PVA)
Future Value of an Annuity (FVA)
6
Notations
PV (Present Value) is the value at time = 0
FV (Future Value) is the value at time = n
‘r’ is the rate at which the amount will be
compounded each period
‘n’ is the number of periods
7
Notations
PV(A) the value of the annuity at time = 0
FV(A) the value of the annuity at time = n
‘A’ the value of the individual payments in each
compounding period
8
Formulas
Present value of a future sum / Future value
of a present sum
9
Formulas
Present value of an annuity
10
Time value of money
Consider 2 situations
Option A: You receive Rs. 10,000 today.
Option B: You receive Rs. 10,000 in 3 years time
Assume no inflation
Assume interest rate 10% (Compound Interest)
Assume no change in any other financial situation
11
Future Value Calculation
Consider Option A
Let’s calculate the future value of Rs. 10,000 received
at the present time.
12
Future Value Calculation
13
Present Value Calculation
Similarly using the equation as
the present value of Rs. 10,000 received in 3 years
when the interest rate is 10% can be calculated as Rs.
7513.1
14
Time Value of Money
15
Time Value Calculations using Tables
16
Benefits of the knowledge of the time value of
money
For investment analysis – To decide the financial
benefits of projects
To compare investment alternatives
To analyze how time impacts business activities such
as loans, mortgages, leases, savings, and annuities.
17
Useful References
18
Thank you
19

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Time value of moey

  • 2. Look ahead Definition of Time Value of Money Why time is important ? Notations Formulas Example Calculation Calculation using Tables Benefits of the Knowledge of Time Value of Money 2
  • 3. Introduction Definition: time value of money is the premise that an investor prefers to receive a payment of a fixed amount of money today, rather than an equal amount in the future, all else being equal. 3 Source: http://en.wikipedia.org/wiki/Time_value_of_money
  • 4. Time Value of Money Which would you rather have -- $1,000 today or $1,000 in 5 years? Money received sooner rather than later allows one to use the funds for investment or consumption purposes. All other factors being equal, it is better to have $1,000 today. Simply put this is the concept of the time value of money. 4
  • 5. Importance of Time Factor Why is TIMETIME such an important element in your decision? 5 TIME allows one the opportunity to postpone consumption and earn INTEREST.
  • 6. Calculations based on the time value of money Present Value (PV) of an amount that will be received in the future. Future Value (FV) of an amount invested (such as in a deposit account) now at a given rate of interest. Present Value of an Annuity (PVA) Future Value of an Annuity (FVA) 6
  • 7. Notations PV (Present Value) is the value at time = 0 FV (Future Value) is the value at time = n ‘r’ is the rate at which the amount will be compounded each period ‘n’ is the number of periods 7
  • 8. Notations PV(A) the value of the annuity at time = 0 FV(A) the value of the annuity at time = n ‘A’ the value of the individual payments in each compounding period 8
  • 9. Formulas Present value of a future sum / Future value of a present sum 9
  • 11. Time value of money Consider 2 situations Option A: You receive Rs. 10,000 today. Option B: You receive Rs. 10,000 in 3 years time Assume no inflation Assume interest rate 10% (Compound Interest) Assume no change in any other financial situation 11
  • 12. Future Value Calculation Consider Option A Let’s calculate the future value of Rs. 10,000 received at the present time. 12
  • 14. Present Value Calculation Similarly using the equation as the present value of Rs. 10,000 received in 3 years when the interest rate is 10% can be calculated as Rs. 7513.1 14
  • 15. Time Value of Money 15
  • 16. Time Value Calculations using Tables 16
  • 17. Benefits of the knowledge of the time value of money For investment analysis – To decide the financial benefits of projects To compare investment alternatives To analyze how time impacts business activities such as loans, mortgages, leases, savings, and annuities. 17