Mutual funds charge their clients an “expense ratio” for managing yourfunds. A 1.5% annual expense ratio is common in the mutual fund industry.Suppose you invest $100,000 into a fund with a 1.5% expense ratio and leave it invested for 40 years. If you have a personal MARR of 6% per year, your future worth (less the expense ratio) will be $100,000 (1 – 0.015)(F/P, 6%, 40) = 1,013,141. If you invest instead in an exchange traded fund (ETF) that has an expense ratio of 0.1% per year, you will end up with F = $100,000 (1 – 0.001)(F/P, 6%, 40) = $1,027,541 which is $14,400 more than the mutual fund. Moral: Be mindful of expenses being levied on your savings vehicles (e.g., an individual retirement account) for retirement savings. How much will you have in 40 years if the expense ratio is 3.5% per year?

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter2: Descriptive Statistics
Section: Chapter Questions
Problem 17P: Suppose that you initially invested 10,000 in the Stivers mutual fund and 5,000 in the Trippi mutual...
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Mutual funds charge their clients an “expense ratio” for managing your
funds. A 1.5% annual expense ratio is common in the mutual fund industry.
Suppose you invest $100,000 into a fund with a 1.5% expense ratio and leave it invested for 40 years. If you have a personal MARR of 6% per year, your future worth (less the expense ratio) will be $100,000 (1 – 0.015)(F/P, 6%, 40) = 1,013,141. If you invest instead in an exchange traded fund (ETF) that has an expense ratio of 0.1% per year, you will end up with F = $100,000 (1 – 0.001)(F/P, 6%, 40) = $1,027,541 which is $14,400 more than the mutual fund. Moral: Be mindful of expenses being levied on your savings vehicles (e.g., an individual retirement account) for retirement savings. How much will you have in 40 years if the expense ratio is 3.5% per year? 

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