Curly’s Life Insurance Co. is trying to sell you an investment policy that will pay you and your heirs $37,000 per year forever. A representative for Curly’s tells you the policy costs $620,000. At what interest rate would this be a fair deal? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Interest rate ______________
Inflows from insurance forever in perpetuity = | 37000 | |||||||
Policy cost = | 620000 | |||||||
Value of annuity in perpetuity formula is to be applied here. | ||||||||
Policy cost = Inflows / interest rate | ||||||||
620000 = 37000/ interest rate | ||||||||
Interest rate = 37000 /620000 | ||||||||
0.059677 | or 5.97% | |||||||
So, at 5.97% it would be a fair deal. |
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