Below are data on economic condition, probability, and expected return on stock and bond funds in a year. Scenario Probability Stock Fund (%) Bond Fund (%) Severe recession 0.05 -37 -10 Mild recession 0.25 -11 10 Normal growth 0.40 14 7 Boom 0.30 30 2 Calculate expected return and standard deviation of each fund. Calculate covariance and correlation coefficient between stock fund and bond fund.

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  1. Below are data on economic condition, probability, and expected return on stock and bond funds in a year.

Scenario

Probability

Stock Fund (%)

Bond Fund (%)

Severe recession

0.05

-37

-10

Mild recession

0.25

-11

10

Normal growth

0.40

14

7

Boom

0.30

30

2

  1. Calculate expected return and standard deviation of each fund.
  2. Calculate covariance and correlation coefficient between stock fund and bond fund.
  3. Your portfolio is composed of 85% in bond fund and 15% in stock fund. Using Excel, calculate expected return and standard deviation of your portfolio based on Equations in the attached images.
  4. Discuss important implications with respect to portfolio theory as you evaluate all numbers in part a, b, and c above.
E (rp) = WBE (rB)+WsE (rs)
Transcribed Image Text:E (rp) = WBE (rB)+WsE (rs)
of = (WBOB) + (Ws0s)² + 2 (WBOB) (wsos)PBS
Transcribed Image Text:of = (WBOB) + (Ws0s)² + 2 (WBOB) (wsos)PBS
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