Question

A company currently pays a dividend of $3.4 per share (D0 = $3.4). It is estimated that the company's dividend will grow at a rate of 17% per year for the next 2 years, and then at a constant rate of 5% thereafter. The company's stock has a beta of 1.3, the risk-free rate is 6.5%, and the market risk premium is 1.5%. What is your estimate of the stock's current price? Do not round intermediate calculations. Round your answer to the nearest cent.

Answer 1

Answer:

Current price of stock =$128.06

Explanation:

The Dividend Valuation Model is a technique used to value the worth of an asset. According to this model, the worth of an asset is the sum of the present values of its future cash flows discounted at the required rate of return.

The model is given as

P = D× g/(r-g)

P- price, D- dividend payable in year 1, r -cost of equity, g - growth rate in dividend

Cost of equity

The cost of equity can be calculated using the Capital Asset Model (CAPM).

Ke= Rf +β(Rm-Rf)  

Ke =? , Rf- 6.5%, (Rm-Rf)- 1.5, β- 1.3

Ke=6.5% + 1.3× (1.5)= 8.45%

Stock price

PV of dividend in year 1 = 3.4× 1.17× 1.0845^(-1)=3.668

PV of dividend in year 2 =  3.4× 1.17^2× 1.0845^(-2) = 3.9572

PV of dividend in year 3

This will be done in two(2) steps:

Step 1- PV in year 2 terms

3.4× 1.17^2× 1.05/(0.0845- 0.05)= 141.651

Step 2- PV in year 0

141.6513913× 1.0845^(-2)= 120.4375

Current piece of stock =  3.668  + 3.957  + 120.4375 = 128.062

Current price of stock =$128.062