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Reading 65:Yield Measures, Spot Rates, and Forward Rates-

 

LOS e, (Part 2): Compute the value of a bond using spot rates.

Q1. An investor gathers the following information about a 2-year, annual-pay bond:

  • Par value of $1,000
  • Coupon of 4%
  • 1-year spot interest rate is 2%
  • 2-year spot interest rate is 5%

Using the above spot rates, the current price of the bond is closest to:

A)   $983.

B)   $1,000.

C)   $1,010.

 

Q2. Given the following spot rate curve:

Spot Rate
1-yr zero = 9.50%
2-yr zero = 8.25%
3-yr zero = 8.00%
4-yr zero = 7.75%
5-yr zero = 7.75%

What will be the market price of a five-year, 9% annual coupon rate bond?

A)   $1,067.78.

B)   $1,047.68.

C)   $1,000.00.

 

Q3. Using the following spot rates, what is the price of a three-year bond with annual coupon payments of 5%?

  • One-year rate: 4.78%
  • Two-year rate: 5.56%
  • Three-year rate: 5.98%

A)   $97.47.

B)   $98.87.

C)   $93.27.

 

Q4. Assume that a callable bond's call period starts two years from now with a call price of $102.50. Also assume that the bond pays an annual coupon of 6% and the term structure is flat at 5.5%. Which of the following is the price of the bond assuming that it is called on the first call date?

A)   $100.00.

B)   $102.50.

C)   $103.17.

 

Q5. Can spot interest rates be used to value a callable bond?

A)   Yes.

B)   No.

C)   It depends on the slope of the term structure.

 

 

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