Wednesday, November 13, 2019

You have your choice of two investment accounts. Investment A is a 5-year annuity that features end-of-month $2,500 payments

You have your choice of two investment accounts. Investment A is a 5-year annuity that features end-of-month $2,500 payments and has an interest rate of 11.5 percent compounded monthly. Investment B is a 10.5 percent continuously compounded lump sum investment, also good for five years. How much would you need to invest in B today for it to be worth as much as investment A five years from now? 
 
A. 
$108,206.67

B. 
$119,176.06

C. 
$124,318.08

D. 
$129,407.17

E. 
$131,008.15
FVA = $2,500 × [{[1 + (0.115/12)]5 × 12 -1}/(0.115/12)] = $201,462.23
PV = $201,462.23 e-1 × 0.105 ×5 = $119,176.06


125.
Given an interest rate of 8 percent per year, what is the value at date t = 9 of a perpetual stream of $500 annual payments that begins at date t = 17? 
 
A. 
$3,376.68

B. 
$4,109.19

C. 
$4,307.78

D. 
$6,250.00

E. 
$6,487.17
PVt = 17 = $500/.08 = $6,250
PVt = 9 = $6,250/1.0817-9 = $3,376.68
NOTE: This is a correction to the original problem solution.

126.
You want to buy a new sports car for $55,000. The contract is in the form of a 60-month annuity due at a 6 percent APR, compounded monthly. What will your monthly payment be? 
 
A. 
$1,047.90

B. 
$1,053.87

C. 
$1,058.01

D. 
$1,063.30

E. 
$1,072.11


 

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