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
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
Number 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...