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财务管理基础第二单元课后答案.doc
2-1 = (0.1)(-50%) + (0.2)(-5%) + (0.4)(16%) + (0.2)(25%) + (0.1)(60%)
= 11.40%.
(2 = (-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)
(2 = 712.44; ( = 26.69%.
CV = = 2.34.
2-2 Investment Beta
$35,000 0.8
40,000 1.4
Total $75,000
bp = ($35,000/$75,000)(0.8) + ($40,000/$75,000)(1.4) = 1.12.
2-3 kRF = 5%; RPM = 6%; kM = ?
kM = 5% + (6%)1 = 11%.
k when b = 1.2 = ?
k = 5% + 6%(1.2) = 12.2%.
2-4 kRF = 6%; kM = 13%; b = 0.7; k = ?
k = kRF + (kM - kRF)b
= 6% + (13% - 6%)0.7
= 10.9%.
2-5 a. k = 11%; kRF = 7%; RPM = 4%.
k = kRF + (kM – kRF)b
11% = 7% + 4%b
4% = 4%b
b = 1.
b. kRF = 7%; RPM = 6%; b = 1.
k = kRF + (kM – kRF)b
k = 7% + (6%)1
k = 13%.
2-6 a. .
= 0.1(-35%) + 0.2(0%) + 0.4(20%) + 0.2(25%) + 0.1(45%)
= 14% versus 12% for X.
b. ( = .
= (-10% - 12%)2(0.1) + (2% - 12%)2(0.2) + (12% - 12%)2(0.4)
+ (20% - 12%)2(0.2) + (38% - 12%)2(0.1) = 148.8%.
(X = 12.20% versus 20.35% for Y.
CVX = (X/X = 12.20%/12% = 1.02, while
CVY = 20.35%/14% = 1.45.
2-7 a. 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 = 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%.
2-8 Old portfolio beta = (b) + (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)b20
1.12 = (0.05)
= 1.12/0.05 = 22.4.
New portfolio beta = (22.4 - 1.0 + 1.75)(0.05) = 1.1575 ( 1.16.
2. excluding the stock with the beta equal to 1
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