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The correct answer is B

 

The purpose of computing a minimum variance hedge ratio is to minimize the variance of the combined portfolio.

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The correct answer is D

 

The portfolio is hedged against parallel movements in the yield curve so its value will not change.

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8、How will the value of a portfolio of non-callable corporate bonds hedged with Treasury futures change if the yield curve shifts up in a parallel manner by an anticipated amount? The value of the newly hedged portfolio:

A) may increase or decrease. 
 
B) increases. 
 
C) decreases. 
 
D) stays the same.  
 

 

 

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The correct answer is A

First, calculate the daily percentage VAR for stocks and corporate bonds:

Stocks: VAR(2.5%)Percentage Basis = z2.5% σ = 1.96(0.018) = 0.0353 = 3.53%

Bonds: VAR(2.5%)Percentage Basis = z2.5% σ = 1.96(0.011) = 0.0216 = 2.16%

Next calculate the portfolio VAR using weights of 35% for bonds and 65% for stocks:

[0.652(0.03532) + 0.352(0.02162) + 2(0.35)(0.65)(0.0353)(0.0216)(0.43)]0.5 = 0.0271 = 2.71%

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7、A portfolio manager is constructing a portfolio of stocks and corporate bonds. The portfolio manager has estimated that stocks and corporate bond returns have daily standard deviations of 1.8 percent and 1.1 percent, respectively, and estimates a correlation coefficient of returns of 0.43. If the portfolio manager plans to allocate 35 percent of the portfolio to corporate bonds and the rest to stocks, what is the daily portfolio VAR (2.5 percent) on a percentage basis?

A) 2.71%. 
 
B) 3.05%. 
 
C) 2.57%.
 
D) 2.27%. 
 

 

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The correct answer is C

 

Because the manager is considering hedging his S& 400 exposure with S& 500 contracts, his primary concern should be basis risk between the two.

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6、A portfolio manager has a $15 million mid-cap portfolio that has a beta of 1.3 relative to the S& 400. S& 500 futures are trading at 1,150 and have a multiplier of 250. The most significant risk this manager faces in attempting to hedge his position is:

A) correlation risk resulting from a rollover of positions between the S& 400 and S& 500.
 
B) volatility risk arising from unstable correlation predictions.
 
C) basis risk resulting from a cross-hedge.
 
D) improper profit forecasts of the underlying position. 
 

 

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The correct answer is B

 

The farmer needs to be short the futures contracts. The source of basis risk for this farmer arises from the fact that his contract and harvest dates do not perfectly match. As a result, he will be exposed to basis risk due to a necessary rollover in his position.

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5、A corn grower is concerned that the price he can get from the field in mid-September will be less than he has forecasted. To protect himself from price declines, the farmer has decided to hedge. The best available futures contract he can find is for August delivery. Which of the following is the appropriate direction of his position and the source of basis risk that may impact the farmer?

A) Short futures; correlation.
 
B) Short futures; rollover.
 
C) Long futures; correlation.
 
D) Long futures; rollover. 
 

 

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The correct answer is D 

 

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