The risk-free rate needed for the two equities' relative prices to be calculated appropriately is 5.53%.
Owners of stocks receive a stake in a company as a type of security. Stocks are also referred to as "equities." Stocks represent ownership in a publicly traded firm. You become a shareholder when you purchase a company's shares. All of the shares used to divide ownership of a firm or company are referred to as stock in the financial sector. Based on the total number of shares, each share of stock represents a small portion of the company's ownership.
According to GICS, which refers for the Global Industry Classification Standard, there are 11 different stock market sectors. Health, materials, real estate, consumer discretionary, utilities, power, industrial companies, consumer services, financials, or technology are some of these industries.
The following is a relationship between the two stocks:
Stock Y
Beta = 1.40
Expected return = 13.0%
Risk free rate = rf
According to CAPM model:
Expected return = rf + risk premium × beta
13.0% = rf + risk premium × 1.40
Stock Z
Beta = 0.85
Expected return = 10.4%
Risk free rate = rf
According to CAPM model:
Expected return = rf + risk premium × beta
10.4% = rf + risk premium × 0.85
Solving equation 1 and 2
10.4% × 1.40 – 13.0% × 0.85 = 1.40rf – 0.85rf
14.56% - 11.05% = 0.55rf
Rf = 5.53%
Hence, Risk free rate is 5.53%.
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