Final answer:
The appropriate cost of capital for a project given a Beta of 1.3, an expected stock market return of 11.2%, and a risk-free rate of 5% is calculated using the CAPM formula. The cost of capital in this case works out to be 13.06%.
Step-by-step explanation:
The appropriate cost of capital for a project with a Beta of 1.3, given an expected rate of stock market return of 11.2% and a risk-free rate of 5%, can be calculated using the Capital Asset Pricing Model (CAPM). The formula for CAPM is:
Cost of Equity = Risk-free rate + (Beta * (Market Return - Risk-free rate))
Plugging in the values, we get:
Cost of Equity = 5% + (1.3 * (11.2% - 5%))
Therefore:
Cost of Equity = 5% + (1.3 * 6.2%)
Cost of Equity = 5% + 8.06%
Cost of Equity = 13.06%
Thus, the appropriate cost of capital for this project is 13.06%.