TVM
TEST BANK:
TIME VALUE OF MONEY
(Difficulty: E = Easy, M = Medium, and T = Tough)
Multiple Choice: Problems
Easy:
FV of a single payment Answer: d Diff: E
[i]. You deposit $2,000 in a savings account that pays 10 percent interest, compounded annually. How much will your account be worth in 15 years?
a. $2,030.21 b. $5,000.00 c. $8,091.12 d. $8,354.50 e. $9,020.10
FV of a single payment Answer: c Diff: E
[ii]. You deposit $1,000 in a savings account that pays 9 percent interest, compounded annually. How much will your account be worth in 6 years?
a. $1,054.00 b. $1,199.00 c. $1,677.10 d. $1,689.48 e. $7,523.33
PV of a single payment
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a. $240.42 b. $263.80 c. $300.20 d. $315.38 e. $346.87
Quarterly compounding Answer: a Diff: E
[xiv]. If $100 is placed in an account that earns a nominal 4 percent, compounded quarterly, what will it be worth in 5 years?
a. $122.02 b. $105.10 c. $135.41 d. $120.90 e. $117.48
Effective annual rate Answer: c Diff: E
[xv]. Gomez Electronics needs to arrange financing for its expansion program. Bank A offers to lend Gomez the required funds on a loan where interest must be paid monthly, and the quoted rate is 8 percent. Bank B will charge 9 percent, with interest due at the end of the year. What is the difference in the effective annual rates charged by the two banks?
a. 0.25% b. 0.50% c. 0.70% d. 1.00% e. 1.25%
Effective annual rate Answer: b Diff: E
[xvi]. You recently received a letter from Cut-to-the-Chase National Bank that offers you a new credit card that has no annual fee. It states that the annual percentage rate (APR) is 18 percent on outstanding balances. What is the effective annual interest rate? (Hint: Remember these companies bill you monthly.)
a. 18.81% b. 19.56% c. 19.25% d. 20.00% e. 18.00%
Effective annual return Answer: b Diff: E
[xvii]. Which of the
e. If we evaluated at the same effective rate, the earlier payments would give the semiannual bond the higher value.
Poor Dog, Inc. borrowed $135,000 from the bank today. They must repay this money over the next six years by making monthly payments of $2,215.10. What is the interest rate on the loan? Express your answer with annual compounding.
1. Beverly Frost bought a home for $190,000 with a down payment of $19,000 at 7% for 25 years. Since then the rate has risen to 9%. How much more would her monthly payment be if she bought the house at 9%?
7. Trevor's Tires is offering a set of 4 premium tires on sale for $550. The credit terms are 24 months at $20 per month. What is the interest rate on this offer?
What annual interest rate is needed to produce $200,000 after five years if only $100,000 is invested?
10. An investment of $1,000 today will grow to $1,100 in one year. What is the continuously compounded rate of return?
Therefore the annual interest rate is 8% and the effective annual rate compounded quarterly is 8.24%
2. If you had a payment that was due you in 5 years for $50,000 and you could earn a 5% rate of return, how much
10. You have $2,000 today and want to quadruple your money in 10 years. What interest rate must you earn?
6. (TCO B) Suppose you borrowed $14,000 at a rate of 10.0% and must repay it in five equal installments at the end of each of the next five years. How much interest would you have to pay in the first year? (Points : 10)
$25,000 if invested for 18 years at a 1.72% interest rate. The stated rate of
The periodic rate of interest is 1.5% and the effective rate of interest is greater than 6%.
After the calculations you end up coming out with a rate of 14.87%. The third and final part of question three asks what rate you will need if the interest is compounded semiannually. All you have to do is double the amount of terms and you will come out with a lower number of 7.177%. Since the interest is compounded semiannually that means that you will need to times that number by two and you come out with your final number of 14.35%.
Account A - Present Value with Discount rate of 6% = 6500/(1+6%) = 6500/1.06 = $6,132.08
(Compound annuity) what is the accumulated sum of each of the following streams of payme