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You just won the state lottery. The state gives you the choice of $1,000,000 today or...

You just won the state lottery. The state gives you the choice of $1,000,000 today or a 20-year annuity of $94,390, with the first payment coming one year from today. What rate of interest is built into the annuity?

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Answer #1

Let rate of interest be x%

At this rate;present value of annuity=1,000,000

1,000,000=94,390/1.0x+94,390/1.0x^2+..............+94,390/1.0x^20

Hence x=rate of interest=7%(Approx).

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