财务管理基础第二单元课后答案.doc
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1、精品文档就在这里-各类专业好文档,值得你下载,教育,管理,论文,制度,方案手册,应有尽有-2-1= (0.1)(-50%) + (0.2)(-5%) + (0.4)(16%) + (0.2)(25%) + (0.1)(60%)= 11.40%.s2 = (-50% - 11.40%)2(0.1) + (-5% - 11.40%)2(0.2) + (16% - 11.40%)2(0.4) + (25% - 11.40%)2(0.2) + (60% - 11.40%)2(0.1)s2 = 712.44; s = 26.69%.CV = = 2.34.2-2 Investment Beta $35,
2、000 0.8 40,000 1.4Total $75,000bp = ($35,000/$75,000)(0.8) + ($40,000/$75,000)(1.4) = 1.12.2-3kRF = 5%; RPM = 6%; kM = ?kM = 5% + (6%)1 = 11%.k when b = 1.2 = ?k = 5% + 6%(1.2) = 12.2%.2-4kRF = 6%; kM = 13%; b = 0.7; k = ?k = kRF + (kM - kRF)b = 6% + (13% - 6%)0.7 = 10.9%.2-5a.k = 11%; kRF = 7%; RPM
3、 = 4%. k = kRF + (kM kRF)b11% = 7% + 4%b 4% = 4%b b = 1.b.kRF = 7%; RPM = 6%; b = 1.k = kRF + (kM kRF)bk = 7% + (6%)1k = 13%.2-6a.= 0.1(-35%) + 0.2(0%) + 0.4(20%) + 0.2(25%) + 0.1(45%)= 14% versus 12% for X.b.s = . = (-10% - 12%)2(0.1) + (2% - 12%)2(0.2) + (12% - 12%)2(0.4) + (20% - 12%)2(0.2) + (38
4、% - 12%)2(0.1) = 148.8%.sX = 12.20% versus 20.35% for Y.CVX = sX/X = 12.20%/12% = 1.02, whileCVY = 20.35%/14% = 1.45.2-7a.ki = kRF + (kM - kRF)bi = 9% + (14% - 9%)1.3 = 15.5%.b.1.kRF increases to 10%:kM increases by 1 percentage point, from 14% to 15%.ki = kRF + (kM - kRF)bi = 10% + (15% - 10%)1.3 =
5、 16.5%.2.kRF decreases to 8%:kM decreases by 1%, from 14% to 13%.ki = kRF + (kM - kRF)bi = 8% + (13% - 8%)1.3 = 14.5%.c.1.kM increases to 16%:ki = kRF + (kM - kRF)bi = 9% + (16% - 9%)1.3 = 18.1%.2.kM decreases to 13%:ki = kRF + (kM - kRF)bi = 9% + (13% - 9%)1.3 = 14.2%.2-8Old portfolio beta = (b) +
6、(1.00) 1.12 = 0.95b + 0.05 1.07 = 0.95b 1.1263 = b.New portfolio beta = 0.95(1.1263) + 0.05(1.75) = 1.1575 1.16.Alternative Solutions:1.Old portfolio beta = 1.12 = (0.05)b1 + (0.05)b2 + . + (0.05)b201.12 = (0.05)= 1.12/0.05 = 22.4.New portfolio beta = (22.4 - 1.0 + 1.75)(0.05) = 1.1575 1.16.2. exclu
7、ding the stock with the beta equal to 1.0 is 22.4 - 1.0 = 21.4, so the beta of the portfolio excluding this stock is b = 21.4/19 = 1.1263. The beta of the new portfolio is:1.1263(0.95) + 1.75(0.05) = 1.1575 1.16.2-9Portfolio beta= (1.50) + (-0.50) + (1.25) + (0.75)bp= (0.1)(1.5) + (0.15)(-0.50) + (0
8、.25)(1.25) + (0.5)(0.75)= 0.15 - 0.075 + 0.3125 + 0.375 = 0.7625.kp= kRF + (kM - kRF)(bp) = 6% + (14% - 6%)(0.7625) = 12.1%.Alternative solution: First, calculate the return for each stock using the CAPM equation kRF + (kM - kRF)b, and then calculate the weighted average of these returns.kRF = 6% an
9、d (kM - kRF) = 8%.Stock Investment Beta k = kRF + (kM - kRF)b Weight A $ 400,000 1.50 18% 0.10 B 600,000 (0.50) 2 0.15 C 1,000,000 1.25 16 0.25 D 2,000,000 0.75 12 0.50Total $4,000,000 1.00kp = 18%(0.10) + 2%(0.15) + 16%(0.25) + 12%(0.50) = 12.1%.2-10We know that bR = 1.50, bS = 0.75, kM = 13%, kRF
10、= 7%.ki = kRF + (kM - kRF)bi = 7% + (13% - 7%)bi.kR = 7% + 6%(1.50) = 16.0%kS = 7% + 6%(0.75) = 11.5 4.5%2-11 = 10%; bX = 0.9; sX = 35%. = 12.5%; bY = 1.2; sY = 25%.kRF = 6%; RPM = 5%.a.CVX = 35%/10% = 3.5. CVY = 25%/12.5% = 2.0.b.For diversified investors the relevant risk is measured by beta. Ther
11、efore, the stock with the higher beta is more risky. Stock Y has the higher beta so it is more risky than Stock X.c.kX = 6% + 5%(0.9)kX = 10.5%.kY = 6% + 5%(1.2)kY = 12%.d.kX = 10.5%; = 10%.kY = 12%; = 12.5%.Stock Y would be most attractive to a diversified investor since its expected return of 12.5
12、% is greater than its required return of 12%.e.bp = ($7,500/$10,000)0.9 + ($2,500/$10,000)1.2 = 0.6750 + 0.30 = 0.9750.kp = 6% + 5%(0.975)kp = 10.875%.f.If RPM increases from 5% to 6%, the stock with the highest beta will have the largest increase in its required return. Therefore, Stock Y will have
13、 the greatest increase.Check:kX = 6% + 6%(0.9) = 11.4%.Increase 10.5% to 11.4%.kY = 6% + 6%(1.2) = 13.2%.Increase 12% to 13.2%.2-12kRF = k* + IP = 2.5% + 3.5% = 6%. ks = 6% + (6.5%)1.7 = 17.05%.2-13Using Stock X (or any stock): 9%= kRF + (kM kRF)bX 9%= 5.5% + (kM kRF)0.8(kM kRF)= 4.375%.2-14In equil
14、ibrium:kJ = = 12.5%. kJ= kRF + (kM - kRF)b 12.5%= 4.5% + (10.5% - 4.5%)b b= 1.33.2-15bHRI = 1.8; bLRI = 0.6. No changes occur.kRF = 6%. Decreases by 1.5% to 4.5%.kM = 13%. Falls to 10.5%.Now SML: ki = kRF + (kM - kRF)bi.kHRI = 4.5% + (10.5% - 4.5%)1.8 = 4.5% + 6%(1.8) = 15.3%kLRI = 4.5% + (10.5% - 4
15、.5%)0.6 = 4.5% + 6%(0.6) = 8.1%Difference 7.2%2-16An index fund will have a beta of 1.0. If kM is 12.5 percent (given in the problem) and the risk-free rate is 5 percent, you can calculate the market risk premium (RPM) calculated as kM - kRF as follows: k = kRF + (RPM)b12.5% = 5% + (RPM)1.0 7.5% = R
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