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Suppose today a mutual fund contains 2,000 shares of JPMorgan Chase, currently trading at $79
Suppose today a mutual fund contains 2,000 shares of JPMorgan Chase, currently trading at $79.75, 1,000 shares of Walmart, currently trading at $78.10, and 2,500 shares of Pfizer, currently trading at $46.50. The mutual fund has no liabilities and 10,000 shares outstanding held by investors. a. What is the NAV of the fund? b. Calculate the change in the NAV of the fund if tomorrow JPMorgan’s shares increase to $81, Walmart’s shares increase to $83, and Pfizer’s shares decrease to $45. c. Suppose that today 1,000 additional investors buy one share each of the mutual fund at the NAV of $35.385. This means that the fund manager has $35,385 in additional funds to invest. The fund manager decides to use these additional funds to buy additional shares in JPMorgan Chase. Calculate tomorrow’s NAV given the same rise in share values as assumed in (b).
Expert Solution
Part 1
NAV=(Total Assets -Total External Liabilities)/Total no. of units={(2000*79.75) + (1000*78.10)+(2500*46.50)}/10000=35.385$
Part 2
New NAV={(2000*81)+(1000*83)+(2500*45)}/10000=357500/10000=35.75$
Change in NAV=35.75$-35.385$=0.365$
Part 3
Now using part 2 NAV Values
If manager invests 35385 $ in JP morgan Chase stock at 81 $ ,then he will get shares numbering 436
Now New NAV={(2436*81)+(1000*83)+(2500*45)}/11000=35.71$
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