Question
A corporate bond has 2 years to maturity, a coupon rate of 12%, a face value of $1,000 and pays coupons semiannually. The market interest
A corporate bond has 2 years to maturity, a coupon rate of 12%, a face value of $1,000 and pays coupons semiannually. The market interest rate for similar bonds is 12.6%.
Part 1: What is the price of the bond (in $)? (Please enter your answer with 4 digits after the decimal point!)
Part 2: What is the value of the numerator to be used in calculating bond's duration? (Please enter your answer with 6 digits after the decimal point!)
Part 3: What is the bond's duration? (Please enter your answer with 8 digits after the decimal point!)
Part 4: What is the modified duration (MD)? (Please enter your answer with 8 digits after the decimal point!)
Part 5: What is the dollar duration (DD)? (Please enter your answer with 4 digits after the decimal point!)
Part 6: If the market interest rate decreases by 108 basis points, what is the percentage change in bond price (P/P)? (Please enter your answer with 6 digits after the decimal with % sign at the end, .e.g. 9.123456%)
Part 7: If the market interest rate decreases by 108 basis points, what is the dollar change in bond price (P)? (Please enter your answer with 4 digits after the decimal point!)
Part 8: Convexity Calculations: Step1
What is the change in bond price if the yield decreases by 1 basis points P-? (Please enter your answer with 8 digits after the decimal point!)
Part 9: Convexity Calculations: Step2
What is the change in bond price if the yield increases by 1 basis points, P+? (Please enter your answer with 8 digits after the decimal point!)
Part 10: Convexity Calculations: Step3
What is the convexity of the bond? (Please enter your answer with 6 digits after the decimal point!)
Note: This is the answer to last step in practice problems. In this exam, you are not asked to answer the steps F.3 and F.4 of practice problems.
Part 11: What is the convexity adjusted percentage change in bond price if market interest rate decreases by 108 basis points%? (Please enter your answer with 6 digits after the decimal point!) (Please enter your answer with 6 digits after the decimal with % sign at the end, .e.g. 9.123456%)
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