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$100k to invest in an portfolio with stock X, stock Y and an risk free asset invest all the money Need an portfolio that has

  • $100k to invest in an portfolio with stock X, stock Y and an risk free asset
  • invest all the money
  • Need an portfolio that has an expected return of 11.22% and has 96% of the risk of the overall market
  • stock X: expected return of 15.35% and a beta of 1.55
  • Stock Y: expected return of 9.4% and a beta of 0.7
  • risk-free rate is 4.5%

E(RP) = 0.1122 = (wX 0.1535) + (wY 0.0940) + (1 wX wY ) (0.045)

P = 0.96 = (wX 1.55) + (wY 0.70) + (1 wX wY ) (0)

I need help finding the weights of the x,y and risk free and how much money must be invested in stock X.

the answer in the textbook shows X= -28387.10

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