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Reading 66: Introduction to the Measurement of Interest R

 

Q4. A bond with a semi-annually coupon rate of 3% sells for $850. It has a modified duration of 10 and is priced at a yield to maturity (YTM) of 8.5%. If the YTM increases to 9.5%, the predicted change in price, using the duration concept decreases by:

A)   $77.56.

B)   $79.92.

C)   $85.00.

 

Q5. A bond has the following characteristics:

  • Modified duration of 18 years
  • Maturity of 30 years
  • Effective duration of 16.9 years
  • Current yield to maturity is 6.5%

If the market interest rate decreases by 0.75%, what will be the percentage change in the bond's price?

A)   0.750%.

B)   +12.675%.

C)   -12.675%.

 

Q6. Par value bond XYZ has a modified duration of 5. Which of the following statements regarding the bond is TRUE? If the market yield:

A)   increases by 1% the bond's price will increase by $50.

B)   increases by 1% the bond's price will decrease by $50.

C)   increases by 1% the bond's price will decrease by $60.

 

Q7. Given a bond with a modified duration of 1.93, if required yields increase by 50 basis points, the expected percentage price change would be:

A)   -1.025%.

B)   -0.965%.

C)   1.000%.

 

Q8. What happens to bond durations when coupon rates increase and maturities increase?

       As coupon rates increase, duration:           As maturities increase, duration:

A)         increases                                                              increases

B)         decreases                                                            decreases

C)        decreases                                                              increases

 

Q9. A non-callable bond with 10 years remaining maturity has an annual coupon of 5.5% and a $1,000 par value. The current yield to maturity on the bond is 4.7%. Which of the following is closest to the estimated price change of the bond using duration if rates rise by 75 basis points?

A)   -$61.10.

B)   -$47.34.

C)   -$5.68.

 

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