The rate of return on an
investment in a mutual fund is measured as the increase or decrease
in net asset value plus income
distributions such as dividends or distributions of capital gains expressed as
a fraction of net asset value at the beginning of the investment period. If
we denote the net asset value
at the start and end of the period as NAV0 and NAV1, respec- tively, then
Rate of return
NAV1 NAV0
Income and capital gain distributions
NAV0
For example, if a fund has an
initial NAV of $20 at the start of the month, makes income distributions of
$.15 and capital gain distributions of $.05, and ends the month with NAV
of $20.10, the monthly rate of
return is computed as
Rate of return $20.10
$20.00 $.15 $.05
$20.00
Notice that this measure of the
rate of return ignores any commissions such as front-end loads paid to purchase
the fund.
On the other hand, the rate of
return is affected by the funds expenses and 12b-1 fees. This is because such
charges are periodically deducted from the portfolio, which reduces net asset
value. Thus the rate of return on the fund equals the gross return on the
underly- ing portfolio minus the total expense ratio.
To see how expenses can affect
rate of return, consider a fund with $100 million in assets
at the start of the year and
with 10 million shares outstanding. The fund invests in a portfolio of stocks that provides no
income but increases in value by 10%. The expense ratio, in- cluding 12b-1
fees, is 1%. What is the rate of return for an investor in the fund?
I. Introduction 4. Mutual Funds and
Other
Investment Companies
The McGraw−Hill
Companies, 2001
114 PART I Introduction
Table 4.2
Impact of Costs on Investment
Performance
Cumulative Proceeds
(All
Dividends Reinvested)