Sunshine Corporation is expected to pay a dividend of $1.50 in the upcoming year. Dividends are expected to grow at the rate of 6% per year. The risk-free rate of return is 6%, and the expected return on the market portfolio is 14%. The stock of Sunshine Corporation has a beta of 0.75. The intrinsic value of the stock is

A) $10.71.
B) $15.00.
C) $17.75.
D) $25.00.

The intrinsic value of the stock can be calculated using the Gordon Growth Model (Dividend Discount Model for a perpetually growing dividend) and the Capital Asset Pricing Model (CAPM) for the required rate of return. The Gordon Growth Model formula is $P_0=\frac{D_0\times (1+g)}{r-g}$ , where $P_0$ is the intrinsic value of the stock, $D_0$ is the dividend, $g$ is the growth rate, and $r$ is the required rate of return. The CAPM formula is $r=R_f+\beta \times (R_m-R_f)$ , where $R_f$ is the risk-free rate, $\beta$ is the stock's beta, and $R_m$ is the return on the market portfolio.Given:- D_0 = $1.50 - $g=6\%=0.06$ - $R_f=6\%=0.06$ - $R_m=14\%=0.14$ - $\beta =0.75$ First, calculate the required rate of return using CAPM: $r=0.06+0.75\times (0.14-0.06)=0.06+0.75\times 0.08=0.06+0.06=0.12$ or 12%Then, calculate the intrinsic value using the Gordon Growth Model: $P_0=\frac{1.50\times (1+0.06)}{0.12-0.06}=\frac{1.50\times 1.06}{0.06}=\frac{1.59}{0.06}=26.5$ However, since 26.5 is not an option and there seems to be a mistake in my calculation based on the provided options, let's correct the approach based on the options given:The correct approach without the mistake would directly apply the given values correctly into the Gordon Growth Model formula. Assuming a calculation error in my part, the correct intrinsic value based on the options provided should align with the Gordon Growth Model and CAPM principles. Given the discrepancy, let's re-evaluate the options based on the standard formulas:Using the corrected approach:- Required rate of return (r) using CAPM: $r=R_f+\beta \times (R_m-R_f)=0.06+0.75(0.14-0.06)=0.06+0.75\times 0.08=0.06+0.06=0.12$ or 12%- Intrinsic value using the Gordon Growth Model: $P_0=\frac{1.50\times (1+0.06)}{0.12-0.06}=\frac{1.59}{0.06}$ Given the mistake in the initial calculation and the options provided, the correct intrinsic value should be calculated based on the formulas without error. The options given (A, B, C, D) suggest fixed values, and the correct calculation should align with one of these, considering the growth rate and the required rate of return. Given the error in the initial explanation, the focus should be on applying the correct formulas accurately to match the options provided.