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Present value.  County Ranch Insurance Company wants to offer a guaranteed annuity in units of ​$200​,...

Present value.  County Ranch Insurance Company wants to offer a guaranteed annuity in units of ​$200​, payable at the end of each year for 15 years. The company has a strong investment record and can consistently earn 12​% on its investments after taxes. If the company wants to make​ 1% on this​ contract, what price should it set on​ it? Use 11​% as the discount rate. Assume it is an ordinary annuity and the price is the same thing as present value. What price should the company set on the annuity​ contract?

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Answer #1

Price = Present value of annuity at 11%

= 200*PVAF(11%, 15 years)

= 200*7.1909

= $1,438.18

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