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Given an interest rate of 12%, the present value of a 10-year annuity of $3,750 per year with payments made at the beginning

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Answer #1

Annual payment = $3,750
Interest rate = 12%
Period of annuity = 10 years

Payments are made at the beginning of each year

Present value = $3,750 + $3,750/1.12 + $3,750/1.12^2 + …. + $3,750/1.12^8 + $3,750/1.12^9
Present value = $3,750 * 1.12 * (1 - (1/1.12)^10) / 0.12
Present value = $3,750 * 6.328250
Present value = $23,730.94

Present value of annuity is $23,730.94

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