Question
You own a bond that pays $60 in annual interest, with a $1,000 par value. It matures in 20 years. Your required rate of return
You own a bond that pays $60 in annual interest, with a $1,000 par value. It matures in 20 years. Your required rate of return is 6%.
- Is the required rate of return greater than, less than, or equal to the coupon rate?
- What is the value of the bond?
- Is the bond traded at premium, discount, or par?
- Would a 10% return rate be greater than, less than, or equal to the coupon rate?
- What is the value of this bond?
- Is that bond traded at premium, discount, or par?
- If the investors required rate of return increases, should the bond increase or decrease?
- Would a 4% return rate be greater than, less than, or equal to the coupon rate
- What is the value of this bond?
- Would that bond be traded at premium, discount, or par?
- If the investors required rate of return decreases, should the value of the bond increase or decrease?
- Based on these answers, is the required rate of return positively or negatively associated with the value of the bond?
- Assume that the bond matures in 3 years instead of 20 years. If the bonds required rate of return is 6%, what is the bond value?
- The required rate of return increases to 10%. Do you expect the value of the bond to increase or decrease?
- What is the actual value of this bond?
- Is this value greater than or less than the answer in question #5?
- If the required rate of return decreases to 4%, do you expect the value of the bond to increase or decrease?
- What is the actual value of this bond?
- Is this value greater than or less than the answer in question #9?
- So which bond price is more sensitive to the interest change: the short-term, or the long-term?
You buy the newly issued bond at par value with coupon rate at 6%. One year later, the required rate of return increases to 10%, and you decide to sell the bond.
21. How much are you supposed to sell for 3 years bond (the bonds with 3 years maturity; it has 2 years left to mature after one year)?
22. How much are you supposed to sell for 20 years bond (the bonds with 20 years maturity; it has 19 years left to mature after one year)?
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