Question

Athlete Kalen wishes to retire at age forty-five and receive annual birthday payments of $40,000 beginning on his forty-fifth birthday. After his death, the payments on the anniversary of his birth should go to his heirs. In order for Kalen to be able to carry out his plan, he makes contributions to a savings account with a guaranteed annual effective interest rate of 4%. How much money will Kalen need to have accumulated at age forty-five, just prior to his first $40,000 birthday payment

Answer 1

Answer:

1,040,000

Explanation:

We can calculate the money will Kalen need to have accumulated at age forty-five by dividing the annual birthday payments by the effective interest.

DATA

Annual birthday payments = A = $40,000

Effective interest = i = 4%

Calculation

Value at age 45 = A / i + Co

Value at age 45 = (40000 / .04) + 40000

Value at age 45 = 1,040,000

Kalen will need to have accumulated money of 1,040,000 at age forty-five, just prior to his first $40,000 birthday payment.