A 65-year-old retiree wishes to convert the cash value of his insurance policy into an annuity. He can select an annuity that will last 15 years or one that lasts 20 years. If the cash value is $450,000 and interest rates are 5.25%, how much less per year will he receive if he chooses the 20-year annuity

The annual difference between Option 1 (15 years) and Option 2 (20 years) is $7,211.19 in favor of the first one.

Explanation:

Giving the following information:

Option 1:

Number of years= 15

FV= 450,000

i= 0.0525

Option 2:

Number of years= 20

FV= 450,000

i= 0.0525

To calculate the annual cash flow, we will use the following formula on each option:

A= (FV*i)/{[(1+i)^n]-1}

A= annual cash flow

Option 1:

A= (450,000*0.0525) / [(1.0525^15) - 1]

A= $20,464.72

Option 2:

A= (450,000*0.0525) / [(1.0525^20) - 1]

A= $13,253.53

The annual difference between Option 1 (15 years) and Option 2 (20 years) is $7,211.19 in favor of the first one.

the correct answer is b.)