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Consider a portfolio formed with two stocks that are perfectly negatively correlated. The global minimum variance portfolio has a standard deviation that is always:
The certainty equivalent rate of a portfolio is:
Which of the following statement(s) is(are) true regarding the selection of a portfolio from those that lie on the capital allocation line?
I) Less risk-averse investors will invest more in the risk-free security and less in the optimal risky portfolio than more risk-averse investors.
II) More risk-averse investors will invest less in the optimal risky portfolio and more in the risk-free security than less risk-averse investors.
III) Investors choose the portfolio that
maximizes their expected utility.
The separation theorem refers to the conclusion that:
When borrowing and lending at the risk-free rate are allowed, which capital allocation line (CAL) should the investor choose to combine with the efficient frontier?
I. The one with the highest Sharpe ratio.
II. The one which passes through the GMVP.
III.
The efficient frontier of risky assets is:
The 1-year forward rates are 3.06%, 3.12%, 4.33%, 2.55%, 3.89%, 2.08%, 1.88%, 2.39%, 3.42% and 6.32%, respectively. According to the expectations hypothesis, the expected purchase price of a 3-year 7% annual coupon bond with a par value of $1,000 to be purchased in 5 years is $__________.
An investor invests 25% of her wealth in the optimal portfolio of risky assets P* with an expected rate of return of 0.17 and a variance of 0.08. The risk-free rate is 0.045. Her optimal complete portfolio C* has an expected return and standard deviation of _________ and _________, respectively.
The optimal risky portfolio p* has an expected return of 15% and a standard deviation of 25%. The current risk-free rate in the market is 2%. Conservative investor C holds an optimal complete portfolio with a standard deviation of 20%.
What is the implied risk aversion coefficient of Investor C?
Bond
|
Time-to-Maturity
|
Face Value
|
Coupon rate
|
Price
|
E
|
1
|
100
|
0%
|
94.79
|
F
|
2
|
100
|
2%
|
92.25
|
G
|
4
|
100
|
0%
|
74.88
|
In addition to the bonds above, you also observe the 1-year forward rate in 2 years’ time is 8.50%. Assume all bonds (and the forward rate) are risk-free and that Bond F is an annual coupon bond. Based on this information, what is the 3-year spot rate y3: