Suppose the U.S. Treasury issued $500 million face value of 10 year, 7.5% bonds on January 15,
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Question:
Suppose the U.S. Treasury issued $500 million face value of 10 year, 7.5% bonds on January 15, 2005 at par value. Coupon interest is paid semi-annually with the face value due in 10 years (1/15/2015).
- On January 14, 2006, this bond is priced in the market to yield a stated 8%, using semiannual compounding. Calculate the correct price you will pay for the bond on 1/15/2006, for each $100 of face value.
- If, on the other hand, the stated yield-to-maturity of these bonds is 7%, what is their price (per $100 face value)?
Suppose the U.S. Treasury issues $1,000 million face value, 7.5%, 30-year bonds on January 15, 2006. Coupon interest is paid semi-annually with the face value payable in 30 years (1/15/2036).
- If these bonds are priced in the market at 94 on the issue date (i.e. $94 purchase price for each $100 of face value on 1/15/2006), what is the stated yield to maturity?
- If the price is 101, what is the stated yield to maturity?
- What is the general relationship among price, coupon, yield and par value?
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