SOLUTION: Kenneth ran into some money and decides to invest it for retirement. He has $75,000 to invest over 40 years. Find the effective rates given: (a) 4.5% growth compounded monthly.

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Question 1167471: Kenneth ran into some money and decides to invest it for retirement. He has $75,000 to invest over
40 years. Find the effective rates given:
(a) 4.5% growth compounded monthly.
(b) 4.45% growth compounded continuously.
(c) Should Kenneth invest in option (a) or option (b)? Why?

Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
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Kenneth ran into some money and decides to invest it for retirement. He has $75,000 to invest over
40 years. Find the effective rates given:
(a) 4.5% growth compounded monthly.
(b) 4.45% growth compounded continuously.
(c) Should Kenneth invest in option (a) or option (b)? Why?
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To compare, calculate the effective rates per year.


(a)  effective rate per year is  %281%2B0.045%2F12%29%5E12 = 1.045939825.


(b)  effective rate per year is  e%5E0.045 = 2.71828%5E0.045 = 1.046027828.


(c)  The effective annual rate is greater in case (b),  so it is logical/(more profitable) to choose option (b).

Solved.