Ross4eChap11sm

Ross4eChap11sm - Chapter 11: Return and Risk: The...

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Unformatted text preview: Chapter 11: Return and Risk: The Capital-Asset-Pricing Model (CAPM) 11.1 a. Expected Return = (0.1)(-0.045) + (.2)(0.046) + (0.5)(0.125) + (0.2)(0.207) = 0.1086 = 10.86% The expected return on Q-mart’s stock is 10.86%. b. Variance ( σ 2 ) = (0.1)(-0.045 – 0.1086) 2 + (0.2)(0.046 – 0.1086) 2 + (0.5)(0.125 – 0.1086) 2 + (0.2)(0.207 – 0.1086) 2 = 0.005214 Standard Deviation ( σ ) = (0.005214) 1/2 = 0.0722 = 7.22% The standard deviation of Q-mart’s returns is 7.22%. 11.2 a. Expected Return = (0.2)(0.05) + (.6)(0.08) + (0.2)(0.15) = 0.088 = 8.8% The expected return on 8.8%. c. Variance ( σ 2 ) = (0.2)(0.05 – 0.088) 2 + (0.6)(0.08 – 0.088) 2 + (0.2)(0.15 – 0.088) 2 = 0.001096 Standard Deviation ( σ ) = (0.001096) 1/2 = 0.03311 = 3.31% The standard deviation of the return is 3.31%. 11.3 a. and b. Economic condition Probability Market return Weighted average Trebli return Weighted average Rapid expansion 0.12 0.0276 0.0144 Moderate expansion 0.40 0.072 0.036 No growth 0.25 0.0375 0.0125 Moderate contraction 0.15 0.0135 0.0015 Serious contraction 0.08 0.0024-0.0016 Total 1.00 0.153 0.0628 The expected return on the market is 15.3% and on Trembli is 6.28% Answers to End-of-Chapter Problems B-129 11.4 a. and b. Belinkie Enterprises: P Weighted average (R-E( R))^2 P(R-E( R)^2 Year Probability Return Expected return 1 0.25 0.0400 0.0100 0.00030625 0.000076563 2 0.25 0.0600 0.0150 0.00000625 0.000001563 3 0.25 0.0900 0.0225 0.00105625 0.000264063 4 0.25 0.0400 0.0100 0.00030625 0.000076563 Expected return 0.0575 Variance 0.000418752 The expected return for Belinkie is 5.75% and the variance is 0.00041875 Overlake Company P Weighted average (R-E( R))^2 P(R-E( R)^2 Year Probability Return Expected return 1 0.25 0.0500 0.0125 0.0016000 0.000400000 2 0.25 0.0700 0.0175 0.0004000 0.000100000 3 0.25 0.1000 0.0250 0.0001000 0.000025000 4 0.25 0.1400 0.0350 0.0025000 0.000625000 Expected return 0.0900 Variance 0.001150000 The expected return for Overlake is 9% and the variance is 0.00115. 11.5 The return on the T-Bills is 3.5% in very state, so the expected return is 3.5%. Economic condition Probability Market return Weighted average Recession 0.20-1.64% Normal 0.60 7.38% Boom 0.20 5.16% Total 1.00 10.9% The expected return on the market is 10.9% and on T-Bills is 3.50%. The market risk premium is the difference of 7.4% ( 10.9% – 3.5%). 11.6 a. Expected Return A = (1/3)(0.063) + (1/3)(0.105) + (1/3)(0.156) = 0.1080 = 10.80% The expected return on Stock A is 10.80%. Expected Return B = (1/3)(-0.037) + (1/3)(0.064) + (1/3)(0.253) Answers to End-of-Chapter Problems B-130 = 0.0933 = 9.33% The expected return on Stock B is 9.33%. b. Variance A ( σ A 2 ) = (1/3)(0.063 – 0.108) 2 + (1/3)(0.105 – 0.108) 2 + (1/3)(0.156 – 0.108) 2 = 0.001446 Standard Deviation A ( σ A )= (0.001446) 1/2 = 0.0380 = 3.80% The standard deviation of Stock A’s returns is 3.80%....
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This note was uploaded on 03/17/2009 for the course ACTSC 371 taught by Professor Wood during the Fall '08 term at Waterloo.

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Ross4eChap11sm - Chapter 11: Return and Risk: The...

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