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Suppose a mutual fund earns a 10% return annually, and it offers the following two types of shares. Class A has a 4% front-end load. Class C has an annual 12b-1 fees of 2% and back-end load fees that start at 4% and fall by 1% for each year until the fourth year. (Keep two decimal places for your answers, e.g., 8,687.66)

(1) What will be the value of a $35,000 investment in Class A shares if shares are sold after 2 year and 3 years?
(2) What will be the value of a $35,000 investment in Class C shares if shares are sold after 2 years and 3 years?

User OnTheFly
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Final answer:

For a $35,000 investment in Class A shares, the value after 2 years would be $40,500, and after 3 years, it would be $46,860. For Class C shares, the value after 2 years would be $39,465, and after 3 years, it would be $45,169.

Step-by-step explanation:

To calculate the value of a $35,000 investment in Class A shares after 2 years, we can first calculate the front-end load, which is 4% of the initial investment: 4% × $35,000 = $1,400. Subtracting the front-end load from the initial investment gives us $35,000 - $1,400 = $33,600. The 10% annual return for 2 years would give us a final value of $33,600 × (1 + 10%)² = $40,500.

To calculate the value of the same investment in Class A shares after 3 years, we can follow the same steps as above, keeping in mind that the annual return is applied for 3 years instead of 2. The final value would be $33,600 × (1 + 10%)³ = $46,860.

For Class C shares, we need to consider the 12b-1 fees and back-end load fees. The 12b-1 fees are 2% annually, so after 2 years, the investment would be reduced by 2% × $35,000 = $700. The back-end load fees start at 4% and decrease by 1% each year until the fourth year. For a 2-year hold, the fee would be 4%. Subtracting the fees from the initial investment gives us $35,000 - $700 - (4% × $35,000) = $32,900. Applying the 10% annual return for 2 years gives a final value of $32,900 × (1 + 10%)² = $39,465.

For a 3-year hold, the back-end load fee would be 3%. Subtracting the fees from the initial investment gives us $35,000 - $700 - (3% × $35,000) = $33,050. The 10% annual return for 3 years gives a final value of $33,050 × (1 + 10%)³ = $45,169.

User Alex Mulchinock
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