###
**CFA Practice Question**

Mutual funds X has the following fees: 8% front end load; 0.75% annual expenses; and 2% back-end fees.
If an investor purchases fund X and holds it for 3 years, the percentage she will receive of what she would if fees were zero is:

A. 82.15%

B. 88.15%

C. 78.15%

**Explanation:**If fees were zero suppose the amount received was P. Then with fees the amount received will be P * (1 - 0.08) * (1 - 0.0075)^3 * (1 - 0.02) = P * 88.15%

###
**User Contributed Comments**
4

User |
Comment |
---|---|

Clude |
Assume no fee, you invest $100 now and annual return is 100%. At the end of yr 3=$800. With fees: 100*(1-8%)*(1-0.75%)^3*(1+100%)^3*(1-2%)=705.17 |

jjhigdon |
Start with $1, take out 8% sales load = 92%, minus .75% annual expenses: 92% * (1-.0075)^3 = 89.95%, less the 2% back end fee = 88.15% |

praj24 |
Thanks JJ |

birdperson |
great answers, thanks |