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Reading 65: Understanding Yield Spreads - LOS d ~ Q1-2

1.James McDonald and Veasna Lu were discussing different ways of valuing a Treasury security. During their discussion Lu made the following statements:

Statement 1: It is inappropriate to discount the cash flows of a Treasury security by a single discount rate because that is implicitly assuming that the yield curve is flat. Therefore, each individual cash flow should be discounted by its corresponding spot rate.

Statement 2: The spot rates used for different time periods that produce a value equal to the market price of a Treasury bond are called forward rates or future expected spot rates.

Are the statements made by Lu regarding bond spot rates correct?

 

Statement 1

Statement 2

 

A)                                        Correct  Correct

B)                                        Incorrect       Incorrect

C)                                        Incorrect       Correct

D)                                        Correct  Incorrect

2.The Treasury spot rate yield curve is closest to which of the following curves?

A)   Par bond yield curve.

B)   Zero-coupon bond yield curve.

C)   Reinvestment rate yield curve.

D)   Forward yield curve rate.

答案和详解如下:

1.James McDonald and Veasna Lu were discussing different ways of valuing a Treasury security. During their discussion Lu made the following statements:

Statement 1: It is inappropriate to discount the cash flows of a Treasury security by a single discount rate because that is implicitly assuming that the yield curve is flat. Therefore, each individual cash flow should be discounted by its corresponding spot rate.

Statement 2: The spot rates used for different time periods that produce a value equal to the market price of a Treasury bond are called forward rates or future expected spot rates.

Are the statements made by Lu regarding bond spot rates correct?

 

Statement 1

Statement 2

 

A)                                        Correct  Correct

B)                                        Incorrect       Incorrect

C)                                        Incorrect       Correct

D)                                        Correct  Incorrect

The correct answer was D)

Statement 2 is incorrect because the spot rates used for different time periods that produce a value equal to the market price of a Treasury bond are called arbitrage-free Treasury spot rates. Statement 1 is correct.

2.The Treasury spot rate yield curve is closest to which of the following curves?

A)   Par bond yield curve.

B)   Zero-coupon bond yield curve.

C)   Reinvestment rate yield curve.

D)   Forward yield curve rate.

The correct answer was B)

The spot rate yield curve shows the appropriate rates for discounting single cash flows occuring at different times in the future. Conceptually, these rates are equivalent to yields on zero-coupon bonds. The par bond yield curve shows the YTMs on coupon bonds by maturity. Forward rates are expected future short-term rates. Reinvestment rates are not part of the spot rate yield curve.

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