Question

In: Finance

Mutual fund cost: Dividends = $3.00, capital gains distribution = $1.50, increase in NAV from $44.60...

Mutual fund cost: Dividends = $3.00, capital gains distribution = $1.50, increase in NAV from $44.60 to $46.60.

A. What is percent return with no load? B. What is percent return with a 4% load?

Solutions

Expert Solution

Calculation of return on mutual funds when no load is given

S.No Particulars Amount
A Dividend $3.00
B Opening NAV $44.60
C. Closing NAV $46.60
D Change in NAV ( C-B) $2.00
E Capital gains $1.50
F Total gains ( A+D+E) $6.50

Calculation on return on investment

Return on investment =( Dividend + Capital gains+Closing NAV-Opening NAV)/Opening NAV

= ( $ 3+$ 1.5+$ 46.60-$ 44.60)/$ 44.60

= 14.57%

Part B: Alternative 1- When there is only entry load

Calculation of return on mutual funds when there is entry load @ 4%

Particulars Amount
Opening NAV $44.60
Entry load @ 4% (    ($ 44.60*0.04) $1.784
Mutual fund can be purchased at $46.384

Return on investment =( Dividend + Capital gains+Closing NAV-Opening NAV)/Opening NAV

= ( $ 3+$ 1.5+$ 46.60-$ 46.384)/$ 46.384

= 10.16%

Alternative 2: When there is exit load

Calculation of return on mutual funds when there is exit load @ 4%

Particulars Amount
Closing NAV $46.60
Exit load @ 4% ( $ 46.60*0.04) $1.86
Mutual fund can be sold at

$44.736

Return on investment =( Dividend + Capital gains+Closing NAV-Opening NAV)/Opening NAV

=  ( $ 3+$ 1.5+$ 44.736-$ 44.6)/$ 44.6

=  10.3946%

Alternative 3: Load on both entry $ exit

Particulars Amount
Opening NAV $44.60
Entry load @ 4% (    ($ 44.60*0.04)) $1.784
Mutual fund can be purchased at $46.384
Particulars Amount
Closing NAV $46.60
Exit load @ 4% ( $ 46.60*0.04) $1.86
Mutual fund can be sold at $44.736

Return on investment =( Dividend + Capital gains+Closing NAV-Opening NAV)/Opening NAV

= $3+$ 1.5+$ 44.736-$ 46.384)/$ 46.384

= 6.1486%   


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