In: Finance
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.
HELP
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 |