Respuesta :
Answer:
$33.89.
Explanation:
It is given that the Intercoastal's dividends will grow at a rate of 6% per year. It means that the corporation has achieved a constant growth rate. So, Gordon Dividend Discount Model for Constant Growth will be used to calculate the intrinsic value (Maximum price that an investor is willing to pay) of Intercoastal common stock. The model is given below:
Intrinsic value / Price = D1 / Ke - g
where
D1 = Dividend of year 1. It is calculated as Current Dividend * (1 + g).
Ke = Cost of equity or discount rate. It will be calculate using CAPM.
g = Growth rate.
Workings:
Calculation of Ke using CAPM (Capital Asset Pricing Model)
Ke = Risk-free rate + Beta (Market Return - Risk-free Rate)
⇒ Ke = .05 + 1.20 (.13 - .05) = .146 or 14.6%.
Calculation of D1
D1 = 2.75 * (1 + 6%) = $2.915.
Putting values in the model;
⇒ Intrinsic value = 2.915 / (.146 - .06) = $33.89.