Eight Years ago, Larry invested 6000 into a mutual fund which Compounds continuously. Today, Larry's mutual fund is worth 8500. What is the annual rate of return, stated as a percentage for Larry's investment? Show all work.
Formula for continuous compounding:
A = P e rt
A = Future value of investment = $ 8,500
P = Principal = $ 6,000
e = Mathematical constant = 2.71828 (Approx.)
r = Rate of interest
t = Time in years = 8
Substituting the values on the above formula, we get,
$ 8,500 = $ 6,000 x 2.71828 8r
2.71828 8r = $ 8,500 / $ 6,000
2.71828 8r = 1.4166666667
Taking logarithm of both sides and solving for r, we get:
8r x log 2.71828 = log 1.4166666667
8r x 0.43429418977 = 0.15126767534
8r = 0.15126767534/0.43429418977
8r = 0.348306928582468
r = 0.348306928582468/8
r = 0.0435383660728084 or 4.354 %
Annual rate of return is for Larry’s investment is 4.354 %
Get Answers For Free
Most questions answered within 1 hours.