# Bus 330 – module 02 problems: time value of money

BUS 330 – Module 02 Problems: Time Value of Money

1. Below you are presented with a series of present and future values, annual compounding interest rates and the number of years between the present and future values.  For each set of values calculate the missing term (highlighted in yellow):

2. You won a lottery which pays \$10,000 per year for 10 years (starting at the beginning of next year).  Assuming a discount rate of 8% calculate the present value of your expected winnings.

a. Enter and/or calculate the cells highlighted in yellow (as an example, Year 1 has been calculated):

b. Use the PV function of Excel to calculate the present value.

3. Calculate the following (assume all payments are made at the end of the year)

a. What is the value today of a \$7,500 payment made in perpetuity assuming a 12% discount rate?

b. Assume the same perpetuity as above but the payments will not begin for another five years.  What is the present value, today, of such a perpetuity?

c. Use the PV function within Excel to calculate the present value of a 5 year annuity which pays \$7,500 per year (starting next year) and with an interest rate of 12%? (Note, as a check, your answer in part (a) minus your answer in part (b) should equal your answer in part (c).

a. What is the relationship between the present value and time?  Explain

b. What is the relationship between present value and the discount rate?  Explain

5. At the end of each year specified below you will be receiving the indicated payment.  Assume a discount rate of 16%.  What is the Present Value of each payment and what is the total Present Value of all three payments combined?

Year 1:  \$10,000

Year 2:  \$25,000

Year 3:  \$50,000

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