13 - Başkent Üniversitesi
CHP.3. THE TIME VALUE OF MONEY
1. What is the future value of $10,000 on deposit for five years at 6% simple interest?
A) $7,472.58
B) $10,303.62
C) $13,000.00
D) $13,382.26
Answer: C Difficulty: Medium Page: 59, 6th paragraph.
FV = PV + (PV x r x t)
(10,000) + ((10,000 x .06) x 5) = $13,000.00
2. How much will accumulate in an account with an initial deposit of $100, and which earns 10% interest compounded quarterly for three years?
A) $107.69
B) $133.10
C) $134.49
D) $313.84
Answer: C Difficulty: Medium Page: 61, Table 3.2.
FV = PV (1+r)t
100 (1.025)12 = 134.49
3. How much can be accumulated for retirement if $2,000 is deposited annually, beginning one year from today, and the account earns 9% interest compounded annually for 40 years?
A) $ 87,200.00
B) $675,764.89
C) $736,583.73
D) $802,876.27
Answer: B Difficulty: Medium Page: 83, Table 3.5.
PV = 2000 [pic]
= 2000 x 337.8824
=$675,764.89
4. Assume the total expense for your current year in college equals $20,000. Approximately how much would your parents have needed to invest 21 years ago in an account paying 8% compounded annually to cover this amount?
A) $ 952
B) $1,600
C) $1,728
D) $3,973
Answer: D Difficulty: Medium Page: 61, Table 3.2.
$20,000 = x(1.08)21
$20,000 = 5.0338x
$3,973.12 = x
5. What is the present value of your trust fund if it promises to pay you $50,000 on your 30th birthday (7 years from today) and earns 10% compounded annually?
A) $25,000.00
B) $25,657.91
C) $28,223.70
D) $29,411.76
Answer: B Difficulty: Medium Page: 91, 5th paragraph.
PV = [pic]
= [pic]
= $25,657.91
6. What is the present value of the following payment stream, discounted at 8% annually: $1,000 at the end of year 1, $2,000 at the end of year 2, and $3,000 at the end of year 3?
A) $5,022.11
B) $5,144.03
C) $5,423.87
D) $5,520.00
Answer: A Difficulty: Medium Page: 73, Figure 3.7.
PV = [pic]
= 925.93 + 1,714.68 + 2,381.50
= $5,022.11
7. What is the present value of a four-period annuity of $100 per year that begins two years from today if the discount rate is 9%?
A) $297.21
B) $323.86
C) $356.85
D) $388.97
Answer: A Difficulty: Hard Page: 77, Table 3.4.
PV1 = 100 [pic]
= 100 [11.111 – 7.8714]
PV1 = 323.97
PV0 = [pic]
= $297.21
8. How much must be invested today in order to generate a five-year annuity of $1,000 per year, with the first payment one year from today, at an interest rate of 12%?
A) $3,604,78
B) $3,746.25
C) $4,037.35
D) $4,604.78
Answer: A Difficulty: Medium Page: 72, 3rd paragraph.
PV = [pic]
= 3,604.78
9. The salesperson offers, “Buy this new car for $25,000 cash or, with appropriate down payment, pay $500 per month for 48 months at 8% interest.” Assuming that the salesperson does not offer a free lunch, calculate the “appropriate” down payment.
A) $1,000.00
B) $4,520.64
C) $5,127.24
D) $8,000.00
Answer: B Difficulty: Medium Page: 73, 2nd paragraph.
PV = $500[pic]
= $500 [149.925 – 108.9663]
= $500 [40.9587]
= $20,479.36
A difference of $4,520.64 exists between cash price and loan value. This should be the downpayment.
10. What is the present value of a five period annuity of $3,000 if the interest rate is 12% and the first payment is made today?
A) $9,655.65
B) $10,814.33
C) $12,112.05
D) $13,200.00
Answer: C Difficulty: Medium Page: 76, 2nd paragraph.
PV = 3,000 [pic]+3000
= 3,000 [8.33 – 5.296) + 3,000
= $12,112.05
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