Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom. 15. 4. 34. 48 Normal. 53. 12. 24. 22 Bust. 32. 18 –. 23 –. 37 a. If your portfolio is invested 36 percent each in A and B and 28 percent in C, what is the portfolio’s expected return, the variance, and the standard deviation? (Do not round intermediate calculations. Round your variance answer to 5 decimal places, e. G. , 32. 16161. Enter your other answers as a percent rounded to 2 decimal places, e. G. , 32. 16. ) b. If the expected T-bill rate is 4. 35 percent, what is the expected risk premium on the portfolio?

Respuesta :

1. The expected return on the portfolio is 0.1031.

b. The variance is 0.02451.

c. The standard deviation is 0.1566.

What is the expected return on the portfolio?

The expected return will be calculated thus:

= Portfolio × Return in stock

Boom = 0.2712

Normal = 0.1912

Brust = -0.1216

The expected return will be calculated thus:

= Portfolio × Return on stock

= (0.15 × 0.2712) + (0.53 × 0.1912) + (0.32 × -0.1216)

= 0.1031

The variance will be:

= Probability × (Returned stock - Expected Return)²

= 0.15(0.2712 - 0.1031)² + 0.53(0.1912 - 0.1031)² + 0.32(-0.1216 - 0.1031)²

= 0.02451

The standard deviation will be the square root of the variance. This will be:

= ✓0.02451

= 0.1566

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