Question

You are considering how to invest part of your retirement savings.You have decided to put $400,000 into three​ stocks: 61% of the money in GoldFinger​ (currently $28​/share), 24% of the money in Moosehead​ (currently $73​/share), and the remainder in Venture Associates​ (currently $9​/share). Suppose GoldFinger stock goes up to $43​/share, Moosehead stock drops to $67​/share, and Venture Associates stock drops to $6 per share. a. What is the new value of the​ portfolio? b. What return did the portfolio​ earn? c. If you​ don't buy or sell any shares after the price​ change, what are your new portfolio​ weights?

Answer 1

a. Number of shares of GoldFinger = 61%*400000/24

Number of shares of GoldFinger = 10166.6667

Number of shares of Moosehead = 24%*400,000/73

Number of shares of Moosehead = 1315.0685

Number of shares of Venture Associates = (1 - 61% - 24%) * 400,000/9

Number of shares of Venture Associates = 15% * 400,000/9

Number of shares of Venture Associates = 6666.6667

New value of the portfolio = 10166.6667*$43 + 1315.0685*$67 + 6666.6667*$6

New value of the portfolio = $437,166.6681 + $88,109.5895 + $40000.0002

New value of the portfolio = $565,276.2578

b. The return that the portfolio​ earn is = ($565,276.2578 - $400,000) / $400,000 = $165,276.2578 / $400,000 = 0.4131906445 = 41.32%

c. Weight of Goldfinger is now = (10166.6667*$43) / $565,276.2578

= $437166.6681 / $565,276.2578

= 0.7734

= 77.34%

Weight of Moosehead is now = (1315.0685*$67) / $565,276.2578

= $88109.5895 / $565,276.2578

= 0.15587

= 15.59%

Weight of Venture is now = 100% - 77.34 - 15.59%

= 7.07%