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(3) A perpetuity will make payments of $50,000 every third year, with the first

ID: 2772074 • Letter: #

Question

(3) A perpetuity will make payments of $50,000 every third year, with the first payment occurring three years from now. The effective annual interest rate is 8%. Find the present value of this perpetuity.

(4) You deposit money into an account each year for 20 years. The first deposit is $1,500, and then each subsequent annual deposit is $500 greater than the previous deposit. The effective annual interest rate is 10%. Find the accumulated value of your account, two years after the last (20th) deposit.

Explanation / Answer

Present value of perpetuity:

= $50,000÷[(1+8%)^3-1]

= $192,521

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