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You are offered an annuity that will pay you $200,000 per year, at the end of the year, for 25 years. The first payment will arrive one year from now. The last payment will arrive 25 years from now. Suppose your annual discount rate is i=16.25%. How much are you willing to pay for this annuity? (hint: this is the same as the present value of an annuity.)

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hyderali230

Answer:

I am willing to pay $1,202,235.89 for this annuity.

Explanation:

Calculate Present value of future cash flow to calculate the price for the annuity should be paid now.

Monthly receipt = PMT = $200,000

Number of years = n = 25 years

Rate of return = r = 16.25% = 0.1625

PV = PMT x [ 1- ( 1 + r )^-n )] / r

PV = $200,000 x [ 1 - ( 1 + 0.1625 )^-25 ) ] / 0.1625

PV = $200,000 x [ 1 - ( 1.1625 )^-25 )] / 0.1625

PV = $1,202,235.89

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