Question
1. A bond with a $1,000 face value has a 8% annual coupon rate. The bond matures in 10 years. The current YTM on the
1. A bond with a $1,000 face value has a 8% annual coupon rate. The bond matures in 10 years. The current YTM on the bond is 4.9%. If this bonds' YTM were to increase to 5.5%, what would be the resulting price change in dollar terms? Round to the nearest cent. [Hint: 1) If the price drops, the change is a negative number. 2) Calculate the precise impact of a yield change on the bond's price by computing and comparing the prices under the two scenarios. Do not use the duration approach here, which gives the approximate price impact of a yield change.]
2. Suppose you structured a bond deal for Kanye West that paid him $20 million upfront, with future royalties and streaming revenues from his past albums going towards payments to bondholders. Each bond had a face value of $1,000 and a coupon rate of 9.0% with semi-annual coupons. If the bonds have 6 years remaining until maturity and the current yield to maturity is 11.0%, how much is the bond worth? Round to the nearest cent.
3. A Tesla coupon bond with a face value of $1,000 has a coupon rate of 6% with annual coupons and it will mature in 7 years. If it is currently trading at $1,154.3, what is its yield-to-maturity? Round to the tenth of a percent (e.g., 4.32% = 4.3) [Hint: Use Excel's "rate" function as explained in the text. Make sure you set the cell to show decimal places.]
4. An Apple annual coupon bond has a coupon rate of 7.0%, face value of $1,000, and 4 years to maturity. If its yield to maturity is 7.0%, what is its Macaulay Duration? Answer in years, rounded to three decimal places.
5. A T-bond with semi-annual coupons has a coupon rate of 7%, face value of $1,000, and 2 years to maturity. If its yield to maturity is 5%, what is its Macaulay Duration? Answer in years, rounded to three decimal places.
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