Answer:
a. 7.48%
Explanation:
Number of shares = $ 6,000 / $ 38.10
Number of shares = 157.48
Rate of return = [Number of shares * (Short term gans + Long term gains + ((1 - Front end load) * (Current offering price)) - Purchase price] / Purchase price
Rate of return = [157.48 * ($0.20 + $1.04 + ((1 - 0.05 ) * $41.80)) - $6,000] / $6,000
Rate of return = [157.48 * ($0.20 + $1.04 + (0.95 * $41.80)) - $6,000] / $6,000
Rate of return = [157.48 * ($1.24 + $39.71) - $6,000] / $6,000
Rate of return = $448.806 / $6,000
Rate of return = 0.074801
Rate of return = 7.48%
From the problem statement it is clear that here we need to find out simple interest rate.
One do not get interest on any investment made at the end of tenure.
Putting this mathematically:
Let amount at the end of 5th year as A
Simple Interest for 5 years, SI = 750 *5
SI = 3750
Hence A = 10000 +3750
A= 13750
Let rate of return = R
Tenure t = 5
But,
A = P(1 + R*t/100)
13750 = 10000( 1+ R*5/100)
13750 = 10000 + 50000R/100
3750 = 500R
R = 3750/500
R = 7.5 %
Hence rate of return is 7.5% per annum (answer)
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