Question 4.XXX: The amount of $7,000 is invested in a certificate of deposit...

The amount of $7,000 is invested in a certificate of deposit (CD) and will be worth $16,000 in nine years. What is the continuously compounded nominal (annual) interest rate for this CD?

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$16,000  =  $7,000 (F/P, r%, 9)
$16,000  =  $7,000 e^{9r} ;   2.2857 = e^{9r}  ;     9r = ln(2.2857) = 0.8267
r  =  0.0919 or 9.19%

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