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6) (2 pts) At the end of 2014 you invested $5000 into a mutual fund. You invested another $3,000 into the mutual fund at the end of 2015. You did not invest any money in 2016 or 2017 and by the end of 2018, the mutual fund investment was worth $11,900. What was the dollar weighted average annual return on your investment? (2 pts) An investment had an average return of 15% and a standard deviation of 20% over the last 100 years. Assuming the investment had a normal distribution, how many of the 100 years did the investment lose more than 5%? 7) years
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Answer #1

Answer 6

5000(1+i)4 + 3000(1+i)3 = 11900

By Hit and Trial Method:

if we substitute the value of i = 11% , the value of investment worth 11693

and if we substitute the value of i = 12%, then the value of investment worth 12082.

So, this means the annual average return on our investment must be between 11% and 12%.

Interpolation

11900 11693 12082 -11693 0.12-0.11 i-0.11

(0.12-0.11) +0.11 12082-11693

i-11.532%

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