Question

) Would you rather receive $1,500 a year for 12 years, or $1,200 a year for 20 years if the interest rate is 7%?

Answer 1

$1200 should receive.

Explanation:

To check whether to receive $1500 or $1200 just find the present values of each amount.

Present value of annuity $1500:

Present value of annuity = Annuity (P/A, 7%, 12)

Present value of annuity = 1500 (P/A, 7%, 12)

Present value of annuity = 1500 (7.9426)

Present value of annuity = $11913.9

Present value of annuity $1200:

Present value of annuity = Annuity (P/A, 7%, 20)

Present value of annuity = 1500 (P/A, 7%, 20)

Present value of annuity = 1500 (10.5940)

Present value of annuity = $15891

Thus, $1200 should receive.