Your investment portfolio has 15,000 shares of Fairfax Paint, which has an expected return of 9.7 percent and a price of 7.6 dollars per share, and 20,000 shares of Litchfield Design, which has a price of 3.4 dollars per share. If your portfolio has an expected return of 12.99 percent, then what is the expected return for Litchfield Design? Answer as a rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.
Investment in Fairfax Paint = 15,000 * 7.6 = 114,000
Investment in Litchfield Design = 20,000 * 2.6 = 68,000
Total Investment = 182,000
Expected Return = Return on Fairfax Paint * Weight of Fairfax Paint + Return on Litchfield * Weight of Litchfield
12.99% = 9.7% * 114,000 / 182,000 + Return on Litchfield * 68,000 / 182,000
12.99% = 6.07582417582% + Return on Litchfield * 0.37362637362
Return on Litchfield = (12.99% - 6.07582417582%) / 0.37362637362
Return on Litchfield = 6.9141758242% / 0.37362637362
Return on Litchfield = 18.51%
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