Modified duration of a bond measures:
A. The change in value of a bond when yields increase by 1 basis point.
B. The percentage change in a bond price when yields increase by 1 basis point.
C. The present value of the future cash flows of a bond calculated at a yield equal to 1%.
D. The percentage change in a bond price when the yields change by 1%.
John owns a bond portfolio worth $2 million with duration of 10. What positions must he take to hedge this portfolio against a small parallel shifts in the term structure.
A. Long position worth $2 million with duration of 10.
B. Long position worth $20 million with duration of 1.
C. Short position worth $2 million with duration of 10.
D. Short position worth $20 million with duration of 1.
Which of the following measure describes the symmetry of a statistical distribution?
A. Mean
B. Standard deviation
C. Skewness
D. Kurtosis
Samuel Teng owns a portfolio of bonds and is trying to compute the convexity of his portfolio. Which of the following choices equals the convexity of Samuel's portfolio?
A. Minimum of the convexities of the component bonds
B. Value-weighted average convexity of the component bonds
C. Coupon-weighted average convexity of the component bonds
D. Maximum of the convexities of the component bonds
When the cost of gold is $1,100 per bullion and the 3-month forward contract trades at $900, a commodity trader seeks out arbitrage opportunities in this relationship. To capitalize on any arbitrage opportunities, the trader could implement which one of the following four strategies?
A. Short-sell physical gold and take a long position in the futures contract
B. Take a long position in physical gold and short-sell the futures contract
C. Short-sell both physical gold and futures contract
D. Take long positions in both physical gold and futures contract
A portfolio consists of two floating rate bonds and one fixed rate bond.
Based on the information below, modified duration of this portfolio is
A. 2.64
B. 3.00
C. 4.28
D. 4.44
Sam has hedged a portfolio of bonds against a small parallel shift in the yield curve using the duration measure. What should Sam do to ensure that the portfolio is hedged against larger parallel shifts in the yield curve?
A. Take positions to reduce the duration
B. Take positions to increase the duration
C. Take positions to make the convexity zero
D. Since the portfolio is duration hedged Sam does not need to take additional positions.
What does correlation between two variables measure?
A. Symmetry of a joint distribution of the two variables.
B. Association between the two variables and the strength of a possible statistical relationship.
C. The proportion of variability in one of the variables that is explained by the other.
D. Extreme returns of both variables.
Which one of the following four statements regarding floating rate bonds is incorrect?
A. Floating rate bonds have coupon payments tied to floating interest rates or floating interest rate indexes.
B. Floating rate bonds typically have less price risk than fixed rate bonds.
C. Floating rate bonds are very sensitive to changes in interest rates.
D. Floating rate bonds only have a small degree of interest rate risk.
Banks duration match their assets and liabilities to manage their interest risk in their banking book. A bank has $100 million in interest rate sensitive assets and $100 million in interest rate sensitive liabilities. Currently the bank's assets have a duration of 5 and its liabilities have a duration of 2. The asset-liability management committee of the bank is in the process of duration-matching. Which of the following actions would best match the durations?
A. Increase the duration of liabilities by 2 and increase the duration of assets by 1.
B. Increase the duration of liabilities by 2 and decrease the duration of assets by 1.
C. Decrease the duration of liabilities by 1 and increase the duration of assets by 1.
D. Decrease the duration of liabilities by 1 and decrease the duration of assets by 1.
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