Question
Is this correct? Why or why not? County Ranch Insurance Company wants to offer a guaranteed annuity in units of $500, payable at the end
Is this correct? Why or why not?
County Ranch Insurance Company wants to offer a guaranteed annuity in units of $500, payable at the end of each year for 25 years. The company has a strong investment record and can consistently earn 7% on its investments after taxes. If the company wants to make 1% on this contract, what price should it set on it? Use 6% as the discount rate. Assume that it is an ordinary annuity and the price is the same as present value.
Present Value = CF * [(1 - (1 + r) ^ -n) / r]
Where: CF is the cash flow per period ($500), r is the discount rate (6%), n is the number of periods (25 years).
Present Value = $500 * [(1 - (1 + 0.06) ^ -25) / 0.06] $7,095.37
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