Based on the information from Question 42 ~ 44, what would be the company’s new cost of equity if it were to change its capital structure to 50% debt and 50% equity (D/S =1.0) using the CAPM?     13.8%     15.6%     16.8%     18.5%

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Based on the information from Question 42 ~ 44, what would be the company’s new cost of equity if it were to change its capital structure to 50% debt and 50% equity (D/S =1.0) using the CAPM?

   

13.8%

   

15.6%

   

16.8%

   

18.5%

Step 4
44) New Leveraged beta:
B = By[1+ (1- Tax Rate)(D/E)]
= 1.25 [1+ (1-0.2)(1)1
= 1.25 [ 1.8)
= 2.25
New Leveraged Beta = 2.25
Transcribed Image Text:Step 4 44) New Leveraged beta: B = By[1+ (1- Tax Rate)(D/E)] = 1.25 [1+ (1-0.2)(1)1 = 1.25 [ 1.8) = 2.25 New Leveraged Beta = 2.25
Step 2
42) Calculation of current leveraged beta using the CAPM:
Ke = Rf + Beta (Rm - Rf)
%3D
Rf = Risk-free rate
Rm = Market Return
Rf = Risk-free rate
14% = 5% + Beta*6%
0.06 Beta = 0.14 - 0.05
0.06 Beta = 0.09
Beta
= 0.09 / 0.06
Beta
= 1.5
Beta of Levered firm 1.5
Step 3
43) Calculation of firm's unleveraged beta:
Unleveraged beta = Leveraged beta / 1- (1-Tax rate)(D/E)
= 1.5(From above) / 1- (1-0.2) (0.25)
= 1.5/1.2
= 1.25
Unleveraged beta = 1.25
Transcribed Image Text:Step 2 42) Calculation of current leveraged beta using the CAPM: Ke = Rf + Beta (Rm - Rf) %3D Rf = Risk-free rate Rm = Market Return Rf = Risk-free rate 14% = 5% + Beta*6% 0.06 Beta = 0.14 - 0.05 0.06 Beta = 0.09 Beta = 0.09 / 0.06 Beta = 1.5 Beta of Levered firm 1.5 Step 3 43) Calculation of firm's unleveraged beta: Unleveraged beta = Leveraged beta / 1- (1-Tax rate)(D/E) = 1.5(From above) / 1- (1-0.2) (0.25) = 1.5/1.2 = 1.25 Unleveraged beta = 1.25
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