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If $2000 is invested at an interest rate of 6.5% per year, compounded daily, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
 Apr 3, 2014
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esketc:

If $2000 is invested at an interest rate of 6.5% per year, compounded daily, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)




The future value, FV, is given by FV = P(1 + r/n) n*t where P is the principal investment ($2000) r is the annual interest rate, expressed as a decimal fraction rather than a percentage (0.065), n is the number of times it's compounded per year (365) and t is the number of years.

So
FV=2000*(1+0.065/365)^(365*t)

You don't say what t is, so, if we assume t is 5 years, then the future value is
2000*(1+0.065/365)^(365*5)

This is $2767.98 to the nearest cent.
 Apr 3, 2014

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