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Finding the Rate That Equalizes the Present and Future Values

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Ralph knows that he is going to have to replace his roof soon. If he has the roof replaced now, it will cost $16,000. He could wait 4 years, but it will then cost him $28,000. At what rate will these options cost the same? This is also known as the break-even point. (Allow two decimals in the percentage but do not enter the % sign.)

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Solution Summary

This solution illustrates how to identify the components of a time value of money problem and how to use Excel to find the rate that equalizes the present and future values.

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Using Excel, we identify the present value (PV) as -$16,000. (We use a negative because Excel requires that PV and FV, or PV and PMT, or PMT and FV be opposite symbols.) The future value (FV), which is what ...

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