Deck 29: The Concept of Present Value

Question 1

(Ignore income taxes in this problem.)A company wants to have $20,000 at the end of a ten-year period by investing a single sum now.How much needs to be invested in order to have the desired sum in ten years,if the money can be invested at 12%?

A) $3,254.68
B) $3,539.82
C) $6,440
D) $7,720

Answer 1

C
Explanation:
PV = Cash flow × Present value of $1 in 10 years at 12%
= $20,000 × 0.322 = $6,440

Question 2

Suppose an investment has cash inflows of R dollars at the end of each year for two years.The present value of these cash inflows using a 12% discount rate will be:

A) greater than under a 10% discount rate.
B) less than under a 10% discount rate.
C) equal to that under a 10% discount rate.
D) sometimes greater than under a 10% discount rate and sometimes less; it depends on R.

Answer 2

B

Question 3

An increase in the discount rate:

A) will increase the present value of future cash flows.
B) will have no effect on net present value.
C) will reduce the present value of future cash flows.
D) is one method of compensating for reduced risk.

Answer 3

C

Question 4

The present value of an amount to be received in five years is exactly twice as large as the present value of an equal amount to be received in ten years.

Question 5

(Ignore income taxes in this problem.)Suddeth Corporation has entered into a 6 year lease for a building it will use as a warehouse.The annual payment under the lease will be $2,468.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 5%,the present value of the lease payments is closest to:

A) $12,528
B) $14,103
C) $14,808
D) $11,050

Question 6

The higher the discount rate,the higher the present value of a given future cash flow.

Question 7

(Ignore income taxes in this problem.)You have deposited $24,764 in a special account that has a guaranteed rate of return.If you withdraw $4,300 at the end of each year for 9 years,you will completely exhaust the balance in the account.The guaranteed rate of return is closest to:

A) 6%
B) 10%
C) 17%
D) 56%

Question 8

The present value of a cash flow increases as it moves further into the future.

Question 9

(Ignore income taxes in this problem.)You have deposited $7,620 in a special account that has a guaranteed rate of return of 19% 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 7 years? Select the amount below that is closest to your answer.

A) $1,295
B) $2,056
C) $2,219
D) $1,089

Question 10

(Ignore income taxes in this problem.)A company wants to have $40,000 at the end of a five-year period through investment of a single sum now.How much needs to be invested in order to have the desired sum in five years,if the money can be invested at 10%:

A) $10,551
B) $8,000
C) $24,840
D) $12,882

Question 11

(Ignore income taxes in this problem.)How much would you have to invest today in the bank at an interest rate of 8% to have an annuity of $4,800 per year for 7 years,with nothing left in the bank at the end of the 7 years? Select the amount below that is closest to your answer.

A) $33,600
B) $2,798
C) $24,989
D) $31,111

Question 12

The present value of a cash flow will never be greater than the future dollar amount of the cash flow.

Question 13

(Ignore income taxes in this problem.)In order to receive $12,000 at the end of three years and $10,000 at the end of five years,how much must be invested now if you can earn 14% rate of return?

A) $12,978
B) $8,100
C) $13,290
D) $32,054

Question 14

The present value of a given future cash flow will decrease as the discount rate decreases.

Question 15

(Ignore income taxes in this problem.)Domebo Corporation has entered into a 7 year lease for a piece of equipment.The annual payment under the lease will be $3,400,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:

A) $9,511
B) $16,621
C) $20,877
D) $23,800

Question 16

(Ignore income taxes in this problem.)At an interest rate of 14%,approximately how much would you need to invest today if you wanted to have $2,000,000 in 10 years?

A) $383,436
B) $540,000
C) $740,741
D) $1,043,200