Question Detail: 59. What’s the future value of $1,200 after 5 years if the appropriate interest rate is 6%, compounded monthly? a. $1,537.69 b. $1,618.62 c. $1,699.55 d. $1,784.53 e. $1,873.76 60....

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Question Detail:


59. What’s the future value of $1,200 after 5 years if the appropriate interest rate is 6%, compounded monthly?


a. $1,537.69


b. $1,618.62


c. $1,699.55


d. $1,784.53


e. $1,873.76


60. What’s the present value of $1,525 discounted back 5 years if the appropriate interest rate is 6%, compounded monthly?


a. $969


b. $1,020


c. $1,074


d. $1,131


e. $1,187


61. Master Card and other credit card issuers must by law print the Annual Percentage Rate (APR) on their monthly statements. If the APR is stated to be 18.00%, with interest paid monthly, what is the card's EFF%?


a. 18.58%


b. 19.56%


c. 20.54%


d. 21.57%


e. 22.65%


62. Riverside Bank offers to lend you $50,000 at a nominal rate of 6.5%, compounded monthly. The loan (principal plus interest) must be repaid at the end of the year. Midwest Bank also offers to lend you the $50,000, but it will charge an annual rate of 7.0%, with no interest due until the end of the year. How much higher or lower is the effective annual rate charged by Midwest versus the rate charged by Riverside?


a. 0.52%


b. 0.44%


c. 0.36%


d. 0.30%


e. 0.24%





































































The Morrissey Company's bonds mature in 7 years, have a par value of $1,000, and make an annual coupon payment of $70. The market interest rate for the bonds is 8.5%. What is the bond's price?



$923.22



$946.30



$969.96



$994.21



$1,019.06



D. J. Masson Inc. recently issued noncallable bonds that mature in 10 years. They have a par value of $1,000 and an annual coupon of 5.5%. If the current market interest rate is 7.0%, at what price should the bonds sell?



$829.21



$850.47



$872.28



$894.65



$917.01



65. Assume that you are considering the purchase of a 15-year bond with an annual coupon rate of 9.5%. The bond has face value of $1,000 and makes semiannual interest payments. If you require an 11.0% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?



$891.00



$913.27



$936.10



$959.51



$983.49































































5-year Treasury bonds yield 5.5%. The inflation premium (IP) is 1.9%, and the maturity risk premium (MRP) on 5-year bonds is 0.4%. What is the real risk-free rate, r*?



2.59%



2.88%



3.20%



3.52%



3.87%



Crockett Corporation's 5-year bonds yield 6.85%, and 5-year T-bonds yield 4.75%.The real risk-free rate is r* = 2.80%, the default risk premium for Crockett's bonds is DRP = 0.85% versus zero for T-bonds, the liquidity premium on Crockett's bonds is LP = 1.25%, and the maturity risk premium for all bonds is found with the formula MRP = (t – 1) ´ 0.1%, where t = number of years to maturity. What is the inflation premium (IP) on 5-year bonds?



1.40%



1.55%



1.71%



1.88%



2.06%



Keys Corporation's 5-year bonds yield 7.00%, and 5-year T-bonds yield 5.15%. The real risk-free rate is r* = 3.0%, the inflation premium for 5-year bonds is IP = 1.75%, the liquidity premium for Keys' bonds is LP = 0.75% versus zero for T-bonds, and the maturity risk premium for all bonds is found with the formula MRP = (t – 1) ´ 0.1%, where t = number of years to maturity. What is the default risk premium (DRP) on Keys' bonds?



0.99%



1.10%



1.21%



1.33%



1.46%


























69.



Niendorf Corporation's 5-year bonds yield 6.75%, and 5-year T-bonds yield 4.80%. The real risk-free rate is r* = 2.75%, the inflation premium for 5-year bonds is IP = 1.65%, the default risk premium for Niendorf's bonds is DRP = 1.20% versus zero for T-bonds, and the maturity risk premium for all bonds is found with the formula MRP = (t – 1) ´ 0.1%, where t = number of years to maturity. What is the liquidity premium (LP) on Niendorf's bonds?



0.49%



0.55%



0.61%



0.68%



0.75%


Answered Same DayDec 22, 2021

Answer To: Question Detail: 59. What’s the future value of $1,200 after 5 years if the appropriate interest...

David answered on Dec 22 2021
117 Votes
59. What’s the future value of $1,200 after 5 years if the appropriate interest rate is
6%, compounded monthly?
a. $1,537.69
b. $1,618.62
c. $1,699.55
d. $1,784.53
e. $1,873.76
Workings:
Monthly rate = 6%/12 = 0.5% (or) .005
Numb
er of months = 5 years *12= 60 months
Future value = Present value * (1+r)^n
 1200*(1+.005)^60
 1618.62
60. What’s the present value of $1,525 discounted back 5 years if the appropriate
interest rate is 6%, compounded monthly?
a. $969
b. $1,020
c. $1,074
d. $1,131
e. $1,187
Workings:
Monthly rate = .06/12 = .005
Number of months = 5 years*12 = 60 months
Present value = Future value/(1+r)^n
 1525/(1+.005)^60
 1130.59 (or) 1131
61. Master Card and other credit card issuers must by law print the Annual Percentage
Rate (APR) on their monthly statements. If the APR is stated to be 18.00%, with
interest paid monthly, what is the card's EFF%?
a. 18.58%
b. 19.56%
c. 20.54%
d. 21.57%
e. 22.65%
Workings:
EFF = [1 + APR/n]^n – 1
Where: n = number of compoundings per year = 12 (for monthly)
 [1 + .18/12]^12 – 1
 19.56%
62. Riverside Bank offers to lend you $50,000 at a nominal rate of 6.5%, compounded
monthly. The loan (principal plus interest) must be repaid at the end of the year.
Midwest Bank also offers to lend you the $50,000, but it will charge an annual rate of
7.0%, with no interest due until the end of the year. How much higher or lower is the
effective annual rate charged by Midwest versus the rate charged by Riverside?
a. 0.52%
b. 0.44%
c. 0.36%
d. 0.30%
e. 0.24%
Workings:
Effective annual rate = (1 + Nominal rate/M)m - 1
Where M = frequency of compounding

EAR of Riverside bank = (1 + .065/12)12 – 1
 1.066972 – 1
 0.066972 (or) 6.70%

EAR of Midwest bank = (1+ .07/1)1 - 1
 1.07 – 1
 .07 (or) 7%

Difference in EAR = 7% - 6.70% = 0.30%
63. The Morrissey Company's bonds mature in 7 years, have a par value of $1,000, and
make an annual coupon payment of $70. The market interest rate for the bonds is
8.5%. What is the bond's price?
a. $923.22
b. $946.30
c. $969.96
d. $994.21
e. $1,019.06
Workings:
Bond price = Sum of the present values of all future coupons + Present value of
maturity value
Annual coupon amount = $70
Maturity value = $1000

Calculation of bond price:
Year PV factor Cash
PV of
cash
at 8.5% flows flows
1 0.921659 $70 $64.52
2...
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