The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine the weights of a portfolio with a standard deviation of 7% created by combining T-Bill and the market portfolio.
Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
The following expected return and the standard deviation of current returns are known:
| Security (i) | Expected Return | Standard Deviation |
βi |
| A | 0.20 | 0.12 | 1.1 |
| B | 0.12 | 0.10 | 0.8 |
| T-Bills | 0.05 | 0 | 0 |
| Market Portfolio | 0.20 | 0.15 | 1 |
Required:
Determine the weights of a portfolio with a standard deviation of 7% created by combining T-Bill and the market portfolio.
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