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Oduvanchick [21]
2 years ago
12

Consider a mutual fund with $203 million in assets at the start of the year and with 10 million shares outstanding. The fund inv

ests in a portfolio of stocks that provides dividend income at the end of the year of $5 million. The stocks included in the fund's portfolio increase in price by 7%, but no securities are sold, and there are no capital gains distributions. The fund charges 12b-1 fees of 0.75%, which are deducted from portfolio assets at year-end. What is the rate of return for an investor in the fund?
Business
1 answer:
balu736 [363]2 years ago
6 0

Answer:

8.66%

Explanation:

The computation of the rate of return for the investor in the fund is as follows:

= (Net assets at the end  + dividend per share  - nav at the beginning of the year) ÷ (nav at the beginning of the year)

where,

Net assets at the end is

= $203 million + $203 million × 7% - ($217.21 million × 0.75%)

= $203 million + $14.21 million - $1.6291 million

= $217.21 million - $1.6291 million

= $215.58093 million

Dividend per share is

= $5 million ÷ 10 million shares

= 0.5

Nav at the beginning of the year is

= $203 million ÷ 10 million shares

= $20.3

Now the rate of return is

= ($215,.58093 + 0.5 - $20.3) ÷ ($20.3)

= 8.66%

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Explanation:

In this question, we are to calculate the present value of a certain amount that is compounded semiannually, and after 10 years, yields a future value of $200,000. To calculate this, we will use the formula for calculating present value as follows:

PV = FV ÷ (1+\frac{r}{n})^{n*t}

where:

PV = present value = ???

FV = future value = $200,000

r = interest rate in decimal = 8.6% = 0.086

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t = time of compounding in years = 10

Therefore,

PV = 200,000 ÷ (1+\frac{0.086}{2})^{2*10}

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Explanation:

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Inflation can be defined as the persistent general rise in the price of goods and services in an economy at a specific period of time.

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