Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Laramie Trucking's CEO is considering a change to the company's capital structure, which currently consists of 25% debt and 75% equity. The CFO believes the firm should use more debt, but the CEO is reluctant to increase the debt ratio. The risk-free rate, r RF, is 5.0%, the market risk premium, RP M, is 6.0%, and the firm's tax rate is 25%. Currently, the cost of equity, r s, is 11.5% as determined by the CAPM. What would be the estimated cost of equity if the firm used 60% debt? (Hint: You must first find the current beta and then the unlevered beta to solve the problem.)


Sagot :

abiolataiwo2015

Answer:

17.74%

Explanation:

Calculation to determine What would be the estimated cost of equity

First step is to calculate the Original beta using this formula

Original beta = (rs-rRf)/ RPM

Let plug in the formula

Original beta = 11.5%- 5%

Original beta = 6.5%/ 6%

Original beta = 1.083

Second step is to calculate original D/E using this formula

original D/E= D/A / (1-D/A)

Let plug in the formula

original D/E = .25/ (1-.25%)

original D/E = .333

Third step is to calculate Unlevered Beta using this formula

Unlevered Beta= Bu = Bl / 1+((1- Tax rate) x (D/E)

Let plug in the formula

Unlevered Beta= 1.083/1+((1-.25) x .333

(D/E) =1.083/1+(0.75*.333)

(D/E) =1.083/1+.24975

(D/E) =1.083/1.24975

(D/E)=0.87

Fourth Step is to calculate the Target D/e

Target D/e = .6/.25

Target D/e = 2.4

Fifth step is to calculate the New Beta using this formula

New Beta = bu* (1+(D/E)(1- tax rate)

Let plug in the formula

New Beta= .87 *(1+(2.4)*(.6)

New Beta= .87 *(1+1.44)

New Beta= .87 *2.44

New Beta=2.1228

Now let calculate the estimated cost of equity using this formula

rs = rRF + new beta (RPm)

Let plug in the formula

rs= 5% + 2.1228*6

rs= 17.74%

Therefore the estimated cost of equity will be 17.74%

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.