Answer:
The beta of the stock is 0.25 and option C is the correct answer.
Explanation:
The current price of a stock which pays a constant dividend can be determined using the zero growth dividend model of DDM. The formula to calculate the price under this model is,
P0 = Dividend / r
Where,
As we already know the value of P0 and Dividend, we can plug in these values in the formula and calculate the value of r.
80 = 2 / r
80 * r = 2
r = 2 / 80
r = 2.5% or 0.025
The required rate of return can also be calculated using the CAPM equation. The formula for r under CAPM is,
r = rRF + Beta * (rM - rRF)
Where,
To calculate beta, we will input the values for r, rRf and rM in the CAPM equation.
Let beta be x.
0.025 = 0.01 + x * (0.07 - 0.01)
0.025 - 0.01 = x * 0.06
0.015 / 0.06 = x
x = 0.25
Thus, beta is 0.25
