Showing posts with label expected rate of return. Show all posts
Showing posts with label expected rate of return. Show all posts

Tuesday, 3 July 2012

Hubbard’s Pet Foods is financed 50% by common stock and 50% by bonds. The expected return



Hubbard’s Pet Foods is financed 50% by common stock and 50% by bonds. The expected return on the common stock is 12.1%, and the rate of interest on the bonds is 6.7%. Assume that the bonds are default-free and that there are no taxes. Now assume that Hubbard’s issues more debt and uses the proceeds to retire equity. The new financing mix is 40% equity and 60% debt.

a.
If the debt is still default-free, calculate the expected rate of return on equity? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Expected rate of return
%  

b.
Calculate the expected return on the package of common stock and bonds? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Expected rate of return
%  


Explanation:
a.&b.
rassets = (0.50 × 12.1%) + (0.50 × 6.7%) = 9.40%
After the refinancing, the package of debt and equity must still provide an expected return of 9.40%, so that:
9.40% = (0.40 × requity) + (0.60 × 6.7%) requity = (9.40% − 4.020%)/0.40 = 13.45%

A firm currently has a debt-equity ratio of 1/2. The debt, which is virtually riskless, pays an interest rate of 6.9%. The expected rate of return on the equity is 11%. What would happen to the expected rate of return on equity if the firm reduced its debt-equity ratio to 1/3? Assume the firm pays no taxes. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Expected rate of return equity
%  


Explanation:
Some values below may show as rounded for display purposes, though unrounded numbers should be used for the actual calculations.

The ratio of debt to firm value is:
D
=
1
=
1
D + E
1 + 2
3

rassets = (1/3 × 6.9%) + (2/3 × 11%) = 9.63%

If the firm reduces its debt-equity ratio to 1/3, then:

The risk-free rate is 8% and the expected rate of return on the market portfolio is 13%. a. Calculate the required return of a security with a beta of 1.13 and an expected rate of return of 16%. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Required return % b. Is the security overpriced or underpriced? Underpriced Explanation: a. Required return = rf + β(rm − rf) = 8% + [1.13 × (13% − 8%)] = 13.65% Expected return = 16% b. The security is underpriced. Its expected return is greater than the required return given its risk.


The risk-free rate is 8% and the expected rate of return on the market portfolio is 13%.

a.
Calculate the required return of a security with a beta of 1.13 and an expected rate of return of 16%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Required return
%  

b.
Is the security overpriced or underpriced?



Underpriced


Explanation:
a.
Required return = rf + β(rmrf) = 8% + [1.13 × (13% − 8%)] = 13.65%

Expected return = 16%

b.
The security is underpriced. Its expected return is greater than the required return given its risk.