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The spot rates associated with the discount factors of the previous problem are closest to:

A) 4.87%; 6.23%.


B) 5.48%; 6.78%.


C) 7.10%; 8.23%.


D) 6.26%; 7.05%.

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The correct answer is D

 

We must calculate the discount factor for the December bond first. This is done by dividing today’s price by the final payment’s par + coupon:

 (99 + 15/32)/(100 + 6/2) = 0.9657. The 12-month discount factor d2 solves the following equation: [(7/2)(0.9657)]+[(100+7/2)(d2)] = 98+(27.5/32); d2=0.9225.

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2、Use the Treasury bond prices given below for the following four problems. Assume the prices are for settlement on June 1, 2005, today’s date. Assume semiannual coupon payments:

Coupon

Maturity

Price

 6.00%

 12/1/2005

 99–15

 7.00%

 6/1/2006

 98–27+

 8.00%

 12/1/2006

 101–29

 9.00%

 6/1/2007

 102–9

The discount factors associated with the bonds maturing in December 2005 and June 2006, respectively, are closest to:

A) 0.9587; 0.9157.


B) 0.9458; 0.9013.


C) 0.9319; 0.8769.


D) 0.9657; 0.9225.

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 The correct answer is C

 


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The correct answer is C

 


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Given the spot rates for the 6-month and 1-year maturing bond, the 6-month forward rate 6 months from now is closest to:

A) 5.86%.


B) 6.04%.


C) 6.54%.


D) 7.28%.

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The correct answer is D

 


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The spot rates associated with the discount factors determined in the previous question are closest to:

A) 2.25%/4.87%.


B) 1.82%/7.56%.


C) 3.26%/5.87%.


D) 2.88%/4.70%.

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The correct answer is B

We must calculate the 6-month discount factor first. This is done by dividing today’s price by the final payment’s par + coupon:

 


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