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wants to use the capital retention approach to determine how much life insurance to purchase. Robert would like to provide $35,000 per year to his family, forever, if he dies. The assets he owns today will provide $25,000 in annual income without the liquidation of these assets. If life insurance proceeds can be invested to earn a 5 percent annual return, how much life insurance should Robert purchase (if any) to fund the additional income needed to meet his $35,000 annual income goal

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Answer: $200,000

Explanation:

Robert's wants to provide $35,000 per year to his family after he dies

Amount which will be catered for by the asset he owns today = $25,000

Life insurance earns 5% annual return

The amount of life insurance which should be purchased ;

Amount required from insurance proceed:

$35, 000 - $25000 = $10000

If insurance earns 5% per annum;

Let Amount of life insurance bought = y

y * 5% = required amount from insurance

y * 0.05 = 10,000

0.05y = 10,000

y = 10000 ÷ 0.05

y = $200,000

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