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?
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?
$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%