In: Finance
The composition of the Fund XY portfolio is as
follows:
Stock |
Shares |
Price |
||
A |
260,000 |
$ |
40 |
|
B |
360,000 |
45 |
||
C |
460,000 |
20 |
||
D |
660,000 |
25 |
||
The fund has not borrowed any funds, but its accrued management fee
with the portfolio manager currently totals $45,000. There are 4
million shares outstanding. What is the net asset value of the
fund?
The NAV or net asset value is calculated using the
formula"
= (Fund value - Management fee)/(Number of shares
outstanding)
Fund value is the sum of the multiplications of the number of
shared (for the individual stock) multiplied to the share
price.
Fund value=($260,000*40 + $360,000*45 + $460,000*20 +
$660,000*25)
=($10,400,000 + $16,200,000 + $9,200,000 + $16,500,000)
=$52,300,000
Management fee is $45,000
Number of shares outstanding is 4000000
NAV=($52,300,000 - $45,000)/4000000
=($52,255,000)/4000000
=$13.06375 or $13.06 (Rounded to 2 decimal places)
Answer: Hence, the net asset value of the fund is $13.06