Question: Bond #1: US Treasury note with a 2% coupon due in 5 years issued at a price of par ($100). Bond #2: ABC Corp note
Bond #1: US Treasury note with a 2% coupon due in 5 years issued at a price of par ($100). Bond #2: ABC Corp note with a 4% coupon issued at a yield to maturity of 4.2%. ABCs credit is rated BBB.
Both bonds were issued and will mature on the same date. Coupons on both bonds are stated in annual terms above, but paid semi-annually. The Fed Funds rate is 0.75%. Below is the benchmark US Treasury on-the-run Yield Curve on date of issuance:
1y 1.00% 2y 1.25% 3y 1.50% 5y 2.00% 7y 2.50% 10y 3.00%
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What is the Yield to Maturity of Bond #1?
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Was Bond #2 issued (sold) at a par, premium or discount price? (You can answer this without knowing
the specific price.)
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What do bond market participants call the difference between the yields to maturity of Bond #2 and
Bond #1?
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What type of risk is most likely the largest component of this yield difference?
- 2%
- Discount price
- Spread
- Default Risk
Assume you purchased Bond #1 and held it for 3 years and the treasury yield curve is unchanged (rates are exactly the same as those listed above), and answer the following questions (36 points): a. What is the new number of years to maturity for bond #1? b. How many cash flow payment dates are left? c. What is the discount rate we should use to value Bond #1 in this new environment? d. Using the same Present Value of Future Cash Flows Model shown above to compute the new price of Bond #1 (show your work).
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