Question

In: Finance

1. Suppose the risk-free rate is 2.64% and an analyst assumes a market risk premium of...

1. Suppose the risk-free rate is 2.64% and an analyst assumes a market risk premium of 6.89%. Firm A just paid a dividend of $1.25 per share. The analyst estimates the β of Firm A to be 1.41 and estimates the dividend growth rate to be 4.64% forever. Firm A has 276.00 million shares outstanding. Firm B just paid a dividend of $1.53 per share. The analyst estimates the β of Firm B to be 0.85 and believes that dividends will grow at 2.48% forever. Firm B has 200.00 million shares outstanding. What is the value of Firm A?

2. Suppose the risk-free rate is 3.32% and an analyst assumes a market risk premium of 7.84%. Firm A just paid a dividend of $1.07 per share. The analyst estimates the β of Firm A to be 1.36 and estimates the dividend growth rate to be 4.77% forever. Firm A has 293.00 million shares outstanding. Firm B just paid a dividend of $1.67 per share. The analyst estimates the β of Firm B to be 0.78 and believes that dividends will grow at 2.03% forever. Firm B has 184.00 million shares outstanding. What is the value of Firm B?

Answer format: Currency: Round to: 2 decimal places.

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Solutions

Expert Solution

1) Risk free rate (Rf) 2.64%
Market risk premium (Rm-Rf) 6.89%
Beta 1.41
Dividend paid (D0) $1.25
Growth(g) 4.64%
Shares outstanding 276 millions
Required return (Re)= Rf+(Rm-Rf)*Beta
2.64+(6.89)*1.41
12.3549%
As per Gordon model,
Price= (D0*(1+g))/(Re-g)
(1.25*(1+0.0464))/(0.123549-0.0464)
$16.95
Value of Firm A= Price per share* Shares outstanding
$(16.95*276)millions
$4,678.20 millions
2) Risk free rate (Rf) 3.32%
Market risk premium (Rm-Rf) 7.84%
Beta 0.78
Dividend paid (D0) $1.67
Growth(g) 2.03%
Shares outstanding 184 millions
Required return (Re)= Rf+(Rm-Rf)*Beta
3.32+(7.84)*0.78
9.4352%
As per Gordon model,
Price= (D0*(1+g))/(Re-g)
(1.67*(1+0.0203))/(0.094352-0.0203)
$23.01
Value of Firm B= Price per share* Shares outstanding
$(23.01*184)millions
$4,233.84 millions

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