1)
Part 1
Diversification is _____. It _____.
2)
Part 1
As different securities are added to a portfolio, the portfolio’s total risk _____.
3)
Intro
Nautilus Clothing’s stock has a 40% chance of producing a 15% return, a 20% chance of producing a 18% return, and a 40% chance of producing a -13% return.
Part 1
What is the stock’s expected return?
4)
Intro
The table below shows the expected rates of return for three stocks and their weight in some portfolio:
| Stock A | Stock B | Stock C | |
| Expected return | 0.08 | 0.03 | 0.12 |
| Weight | 0.2 | 0.2 | 0.6 |
Part 1
What is the expected portfolio return
5)
Intro
The table below shows the expected rates of return for three stocks and their weights in some portfolio:
| Stock A | Stock B | Stock C | ||
| Portfolio weights | 0.4 | 0.2 | 0.4 | |
| State | Probability | Expected returns | ||
| Recession | 0.3 | 0.06 | 0.03 | 0.15 |
| Boom | 0.7 | 0.11 | 0.05 | 0.16 |
Part 1
What is the portfolio return during a recession?
Part 2
What is the expected portfolio return?
Part 3
What is the standard deviation of the portfolio returns?
6)
Part 1
Securities whose prices move less than the market have _____ betas.
7)
Intro
The table below shows the betas and portfolio weights for 3 stocks:
| Portfolio weights | |||
| Stock | Beta | Portfolio 1 | Portfolio 2 |
| A | 1.7 | 0.3 | 0.1 |
| B | 1.1 | 0.5 | 0.4 |
| C | 0.4 | 0.2 | 0.5 |
Calculate the beta of each portfolio.
Part 1
What is the beta of portfolio 1?
Part 2
What is the beta of portfolio 2?
Part 3
If you are more concerned about risk than return, which portfolio should you pick?
8)
Intro
You’ve assembled the following portfolio:
| Stock | Expected return | Beta | Portfolio weight |
| 1 | 0.074 | 1.8 | 0.2 |
| 2 | 0.053 | 1.1 | 0.5 |
| 3 | 0.047 | 0.9 | 0.3 |
Part 1
What is the beta of the portfolio?
Part 2
What is the expected return of your portfolio?
9)
Part 1
The graphical representation of the CAPM is called the _____.
10)
Intro
A stock has a beta of 1.8. The risk-free rate is 4%. Assume that the CAPM holds.
Part 1
What is the expected return for the stock if the expected return on the market is 8%?
Part 2
What is the expected return for the stock if the expected market risk premium is 8%?
11)
Intro
Use the expected return-beta equation from the CAPM.
Part 1
What is the expected return for a stock if the risk-free rate is 2%, beta 0.6 and the expected return for the market portfolio is 6%?
Part 2
What is the risk-free rate if beta is 1.1, the expected return 6.3% and the expected return for the market portfolio is 6%?
Part 3
What is beta if the risk-free rate is 2%, the expected return 12% and the expected return for the market is 6%?
Part 4
What is the expected return for the market if the risk-free rate is 2%, beta 0.6 and the expected return 12%?
12)
Intro
We know the following expected returns for stocks A and B, given different states of the economy:
| State (s) | Probability | E(rA,s) | E(rB,s) |
| Recession | 0.3 | -0.04 | 0.04 |
| Normal | 0.5 | 0.11 | 0.07 |
| Expansion | 0.2 | 0.19 | 0.11 |
The expected return on the market portfolio is 0.08 and the risk-free rate is 0.02.
Part 1
What is the standard deviation of returns for stock A?
.
Part 2
What is the standard deviation of returns for stock B?
Part 3
What is the beta for stock A?
Part 4
What is the beta for stock B?
Part 5
Which stock has more total risk?
Part 6
Which stock has more systematic risk?


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