Appendix 11A The Concept of Present Value Answer Key
True / False Questions
1.
The present value of a given amount increases as the number of years over which it is to
be discounted decreases.
2.
The higher the discount rate, the lower the present value of a given future cash flow.
3.
The present value of a cash flow will never be less than the future dollar amount of the
cash flow.
4.
The present value of an amount to be received in five years is greater than the present
value of the same amount to be received in ten years.
Multiple Choice Questions
5.
Computing the present value of future dollars is known as:
6.
Latting Corporation has entered into a 7 year lease for a building it will use as a
warehouse. The annual payment under the lease will be $4,781. The first payment will be
at the end of the current year and all subsequent payments will be made at year-ends. If
the discount rate is 6%, the present value of the lease payments is closest to:
7.
You have deposited $15,584 in a special account that has a guaranteed rate of return. If
you withdraw $3,700 at the end of each year for 5 years, you will completely exhaust the
balance in the account. The guaranteed rate of return is closest to:
8.
James just received an $8,000 inheritance check from the estate of his deceased rich
uncle. James wants to set aside enough money to pay for a trip in five years. If the trip is
expected to cost $5,000, how much of the $8,000 must James deposit now if the rate of
return is 12% per year in order to have the $5,000 in five years?
9.
Schaad Corporation has entered into an 8 year lease for a piece of equipment. The annual
payment under the lease will be $2,500, with payments being made at the beginning of
each year. If the discount rate is 14%, the present value of the lease payments is closest
to:
10.
How much would you have to invest today in the bank at an interest rate of 5% to have an
annuity of $1,400 per year for 5 years, with nothing left in the bank at the end of the 5
years? Select the amount below that is closest to your answer.
Level of Difficulty: 1 Easy
Topic Area: Appendix 11A: The Concept of Present Value
11.
Level of Difficulty: 1 Easy
Topic Area: Appendix 11A: The Concept of Present Value
Assume you can invest money at a 14% rate of return. How much money must be invested
now in order to be able to withdraw $5,000 from this investment at the end of each year
for 8 years, the first withdrawal occurring one year from now?
12.
You have deposited $16,700 in a special account that has a guaranteed rate of return of
11% per year. If you are willing to completely exhaust the account, what is the maximum
amount that you could withdraw at the end of each of the next 6 years? Select the amount
below that is closest to your answer.
13.
Harry has just inherited $300,000. Harry has decided to quit his job and go to school full
time for the next five years by living off this inheritance. Harry will invest the $300,000 in a
money market account that has an 8% interest rate. If Harry’s goal is to use up the entire
inheritance, approximately what amount can he withdraw from the money market account
each year for the next five years? Assume that his first withdrawal will be one year from
the day that he sets up the account.