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Carrie Tune will earn $32,800 for the next 16 years as a payment for a new song

ID: 2598574 • Letter: C

Question

Carrie Tune will earn $32,800 for the next 16 years as a payment for a new song she has written.

a. How much are her earnings worth now if the interest rate is 17 percent? (Enter your answer as a whole number rounded to 2 decimal places.)
  

  
b. Should she be willing to sell her future earnings now for $208,000?
  

No

Yes

2. What is the present value of a 9-year annuity of $4,000 per year that has payments made at the beginning of each year? The interest rate is 13 percent. (Enter your answer as a positive number rounded to 2 decimal places. )
  

Explanation / Answer

Q- a) ........ Present value of annuity = Annuity * [ 1 - (1.17)-16 ] / 0.17

= 32800 * 5.405288 =  177,293.45

Q - b ) ..........Yes

Because 208000 is greater than 177,293.45

Question - 2

A + A * [ 1 - (1 + r ) -n ] / r ........ shall give the present value of annuity due which is immediate.

4000 + 4000 * [ 1 - (1.13)-9 ] / 0.13 = 24,526.62