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What is the value of an investment that pays $35,000 every other year forever, if the...

What is the value of an investment that pays $35,000 every other year forever, if the first payment occurs two years from today and the discount rate is 7 percent compounded daily?

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Answer #1

Annual payment = $ 35000

Discount rate = 7%

compounding = Daily

Present Value of a Perpetuity = Annual Payment ÷ Discount Rate

We need to determine a two-year interest rate. Since the compounding is daily,

The formula is (1 + (i / 365)) ^ (365 * 2) - 1

= (1 + .07 / 365) ^ 730 - 1 = .15026, or 15.026%

PV = $ 35000 / 0.15026

Present Value of a Perpetuity = $ 232,932

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