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TIME VALUE OF MONEY. COMPOUNDING Determining the future value of present money.

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Presentation on theme: "TIME VALUE OF MONEY. COMPOUNDING Determining the future value of present money."— Presentation transcript:

1 TIME VALUE OF MONEY

2 COMPOUNDING Determining the future value of present money

3 TIME VALUE OF MONEY DISCOUNTING Determining the present value of future money

4 Single Payment Compound Amount SPCA

5 Single Payment Compound Amount SPCA How much will an original deposit grow to by the end of a specified period of time?

6 Single Payment Compound Amount SPCA What is the future value of $100 that is to be invested for 5 years at 8 % interest compounded annually?

7 Single Payment Compound Amount SPCA Use the 8% table N = 1.46933 $100.00 x 1.46933 = $146.93

8 Uniform Series Compound Amount USCA

9 Uniform Series Compound Amount USCA What sum will a uniform series of deposits grow to at the end of a specified period of time?

10 Uniform Series Compound Amount USCA Assume a rich uncle deposits $1,000 a year into an account for you. How much will be there in 10 years if it is invested at 9% and compounded annually?

11 Uniform Series Compound Amount USCA Use the 9% table N=10 $1,000 x 15.19293 = $15,192.93

12 Sinking Fund Deposit SFD

13 Sinking Fund Deposit SFD What size deposits must be made in order to reach a goal at the end of a specified period of time?

14 Sinking Fund Deposit SFD Assume you want to buy a new car for $10,000 in 5 years, how much do you need to deposit each year at 10% interest so you have enough money at that time?

15 Sinking Fund Deposit SFD 10% table N= 5 $10,000.00 x 0.16380 = $1,638.00

16 Single Payment Present Value SPPV

17 Single Payment Present Value SPPV What is the present value of a single sum of money to be received at the end of a specified time?

18 Single Payment Present Value SPPV You expect a gift of $2,000 to be given to you 8 years from now. What is the present value of that $2,000.00 assuming a 7% discount rate?

19 Single Payment Present Value SPPV 7% table N= 8 2000 x.58201 = $1,164.02

20 Uniform Series Present Value USPV

21 Uniform Series Present Value USPV What is the present value of a series of uniform payments over a specified period of time?

22 Uniform Series Present Value USPV An investment is being considered that will yield $1,500.00 a year at the end of each of the next 8 years. At 7%, what is the current value of this stream of income?

23 Uniform Series Present Value USPV 7% interest n = 8 $1,500.00 x 5.97130 = $8,956.95

24 Capital Recovery CR

25 Capital Recovery CR What size payments need to be made to pay back a loan over a specified period of time?

26 Capital Recovery CR If you have a $4,000 car loan to be paid in 30 equal monthly installments at 1 percent per month, how large must the payments be?

27 Capital Recovery CR 1% N = 30 $4,000 x.03875 = $155.00

28


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