Suppose that you are starting a new venture capital fund. You raised $200 million in committed capital. You will charge a management fee of 2.5 percent per year for the first five years, with a reduction of 25 basis points each year thereafter. Assume that all fees are paid on committed capital, and that your fund has a 10-year life.
a. What are the total amount of fees for your fund?
b. What is percent of the committed capital is paid as fees?
The given question clearly states that for the first 5 years, the rate of fee is 2.5% and then for years 6-10, it decreases by 0.25% per year.
A.) The value of fee for any year will be X% of $200 million capital raised, where X is the rate if fee charged.
The table below shows the various values of the fee.
The total amount of fees (over 10 years) for the fund = $42,500,000
B.) The proportion of fee paid as a percent of committed capital = (Total fee / Total capital raised) x 100
= 42500000 / 200000000 = 0.2125 = 21.25%
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