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A mutual fund has 600 shares of General Electric, currently trading at $18, and

ID: 2723257 • Letter: A

Question

A mutual fund has 600 shares of General Electric, currently trading at $18, and 600 shares of Microsoft, Inc., currently trading at $35. The fund has 1,500 shares outstanding.

What is the NAV of the fund?(Round your answer to 2 decimal places. (e.g., 32.16))

If investors expect the price of General Electric to increase to $25 and the price of Microsoft to decline to $19 by the end of the year, what is the expected NAV at the end of the year?(Round your answer to 2 decimal places. (e.g., 32.16))

Assume that the price of General Electric shares is realized at $25. What is the maximum price to which Microsoft can decline and still maintain the NAV as estimated in (a)? (Do not round intermediate calculations.)

Explanation / Answer

NAV = net asset / no. of units

         = (600 x 18 + 600 x 35) / 1500

         = 31,800 / 1500

         = 21.20

New NAV = ( 25 x600 + 19 x600)/1500

                    = 26400 / 1500

                    = 17.60

NAV = net asset / no. of units

21.20 = ( 600 x 25 + 600 x P)/1500

31800 = 15000 + 600 P

P = (31800 -15000)/600

   = 28

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