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Intro You want to find the price of an A-rated corporate bond with a coupon rate of 7.6%, paid semiannually, a face value of $1,000

Intro

You want to find the price of an A-rated corporate bond with a coupon rate of 7.6%, paid semiannually, a face value of $1,000 and 3 years to maturity.

You've also collected the following information about the Treasury yield curve and corporate bond yield spreads over Treasuries.

Treasury yield curve:

Maturity (years) 1 2 3 5 10 20 30
Coupon rate (%) 1.1 1.7 2.9 3.6 4.1 4.5
Price (% of par) 99.55 99.12 98.42 96.37 96.42 97.83 94.02

Corporate bond yield spreads over Treasuries:

Rating AAA AA A BBB BB B
Yield spread (%) 0.2 0.5 1 1.5 1.8 2.6

Attempt 1/1

Part 1

What is the YTM of the 3 year Treasury?

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Part 2

What should be the price of the corporate bond (in $)?

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Part 3

An investor purchases $10,000,000 face value of this A-rated corporate bond and $ 20,000,000 of the 3 year Treasury. What is the DV01 of this two bond portfolio?

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Part 4

Another investor purchases this A-rated corporate bond. Immediately after purchase, the company's CFO and CEO are arrested for fraud and the company is downgraded to a B rating. The investor sells the bond. What is this investor's percentage return?

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