Question

You pay $20,800 to the Laramie Fund which has a NAV of $18.00 per share at the beginning of the year. The fund deducted a front-end load of 3.00%. The securities in the fund increased in value by 12% during the year. The fund's expense ratio is 1.50% and is deducted from year end asset values. What is your rate of return on the fund if you sell your shares at the end of the year

Answer 1

6.92%

Step-by-step explanation:

Beginning investment fund is $20,800.

Now, fund available= Beginning fund(1-front end load)

=20,800(1-0.03)=$20176

Now, the number of shares that can be brought with the available fund

[tex}\text{Number of shares}=\frac{\text{fund available}}{NAV_{beginning}}[/tex]

`=(20176)/(18)`

=1120

Now calculating closing NAV

NAV(closing)=NAV(beginning)=(1+increased%)

=$18(1+12%)=18×1.12

=$20.16

Calculate year end asset value

Year end asset value =NAV(closing)×No. of shares

=$20.16×1120=$22579.2

Value of investment after deducting the expense ratio

Closing investment value = Year end asset value×(1-expense ratio)

=$22579.2×(1-1.5%)

=$22240.512

Now,

Return on the fund =[(closing investment value)-(Beginning investment fund)]÷Beginning investment fund

=(22240.512-20800)÷20800

=0.0692

or, 6.92%