LOS b: Demonstrate the price volatility characteristics for option-free, callable, prepayable, and putable bonds when interest rates change.
Q1. In comparing the price volatility of putable bonds to that of option-free bonds, a putable bond will have:
A) less price volatility at higher yields.
B) less price volatility at low yields.
C) more price volatility at higher yields.
Q2. If interest rates fall, the:
A) value of call option embedded in the callable bond falls.
B) callable bond's price rises more slowly than that of a noncallable but otherwise identical bond.
C) callable bond's price rises faster than that of a noncallable but otherwise identical bond.
Q3. At a market rate of 7%, a $1,000 callable par value bond is priced at $910, while a similar bond that is non-callable is priced at $960. What is the value of the embedded call option?
A) $40.
B) $50.
C) $30.
Q4. Consider the following two statements about putable bonds:
Statement #1: As yields fall, the price of putable bonds will rise less quickly than similar option-free bonds (beyond a critical point) due to the decrease in value of the embedded put option.
Statement #2: As yields rise, the price of putable bonds will fall more quickly than similar option-free bonds (beyond a critical point) due to the increase in value of the embedded put option.
You should:
A) agree with both statements.
B) disagree with both statements.
C) agree with only one statement.
Q5. An investor gathered the following information about two 7% annual-pay, option-free bonds:
- Bond R has 4 years to maturity and is priced to yield 6%
- Bond S has 7 years to maturity and is priced to yield 6%
- Both bonds have a par value of $1,000.
Given a 50 basis point parallel upward shift in interest rates, what is the value of the two-bond portfolio?
A) $2,044.
B) $2,030.
C) $2,086.
Q6. Which of the following bonds experience the greatest precentage price change when the market interest rates rise?
A) A high coupon, long maturity bond.
B) A low coupon, long maturity bond.
C) A low coupon, short maturity bond.
Q7. Which of the following bonds is likely to exhibit the greatest volatility due to interest rate changes? A bond with a:
A) high coupon and a long maturity.
B) low coupon and a long maturity.
C) low coupon and a short maturity.
Q8. A $1,000 face, 10-year, 8.00% semi-annual coupon, option-free bond is issued at par (market rates are thus 8.00%). Given that the bond price decreased 10.03% when market rates increased 150 basis points (bp), which of the following statements is TRUE? If market yields:
A) decrease by 150bp, the bond's price will increase by more than 10.03%.
B) decrease by 150bp, the bond's price will decrease by more than 10.03%.
C) decrease by 150bp, the bond's price will increase by 10.03%.
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