Calculate the duration of a $1,000, 7% coupon bond with three years to maturity. Assume that all market interest rates are 11%.?
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Calculate the duration of $1,000, 6% coupon bond with three years to maturity. Assume that all market interest rates are 7%. Calculate the expected price change if interest rates drop to 6.75% using the duration approximation. Calculate the actual price change using discounted cash flow.
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12. Consider an insurance company that issues a guaranteed investment contract, called ABC, for $1,000. ABC has a three-year maturity and a guaranteed interest rate of 6%. The market interest rate is 6% for all maturities. Assume the payment is compounded annually a) Calculate the amount the insurance company promises to pay in three years (3 marks) b) Suppose that the insurance company funds this obligation with...
bond X and bond Y. Bond X has a face value of $1,000 and 10 years to maturity and has just been issued at par. It bears the current market interest rate of 7% (i.e. this is the yield to maturity for this bond). Bond Y was issued 5 years ago when interest rates were much higher. Bond Y has face value of $1,000 and pays a 13% coupon rate. When issued, this bond had a 15-year, so today its...
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8. (a) Explain the concept of Macaulay duration and explain the relationship between Macaulay duration and: (i) bond maturity (ii) interest rates (iii) bond coupon rate (7 marks) (b) Calculate the price and Macaulay duration of a five-year 5% coupon bond where the market interest rate is 5%. Assume the par value of the...
Consider two bonds: bond XY and bond ZW . Bond XY has a face value of $1,000 and 10 years to maturity and has just been issued at par. It bears the current market interest rate of 7% (i.e. this is the yield to maturity for this bond). Bond ZW was issued 5 years ago when interest rates were much higher. Bond ZW has face value of $1,000 and pays a 13% coupon rate. When issued, this bond had a...
Question 1 2 pts Duration: is always greater than maturity rises as the coupon payment rises. measures how bond prices change with changes in maturity. is a measure of total return. is a measure of how price sensitive a bond is to a change in interest rates. Question 2 2 pts What is the Macaulay's duration of a 10 year zero-coupon bond with a face value of $1,000 and a market rate of 8%, compounded annually is: 9 years 10...
Consider three bonds with maturities of 3, 6, and 9 years. All three bonds have a coupon rate of 7% and have face values of $1,000. Assume semiannual coupon payments. Use this information to answer the following questions: a) What would be the market price of each bond if their YTM was 5%? b) What would be the market price of each bond if their YTM was 9%? c) Graph the relationship between bond prices and the yields-to-maturity for the...
BHC Corporation just issued a $1,000 par value bond with a 7 percent yield to maturity, twenty years to maturity, with an 8 percent semi-annual coupon rate. 6 points What is the price of the BHC Corporate bond? If market interest rates are constant, what will the price of the BHC Corporate bond be in three years? If market interest rates rise to 10 percent, what will the price of the BHC Corporate bond be in three years?
Problem 13-03 The Clarence Corporation has issued bonds that pay semiannually with the following characteristics: Coupon Yield to Maturity Maturity Macaulay Duration 10% 10% 13 7.55 years a. Calculate modified duration using the information provided. Do not round intermediate calculations. Round your answer to two decimal places. Use only the data provided in the table above (in the problem statement) for your calculations. years b. What is a better measure when calculating the bond's sensitivity to changes in interest rates?...
(a) A Bank has a bond with a maturity of 4 years. The coupon rate of the bond is 8%, the yield to maturity is 9%, and the face value is 1 million dollars. Interest payment will be paid annually. Determine the price (present value) and duration of the bond. (9 marks) (b) Predict the change in the bond price if interest rates rise by 100 basis points based on the duration of the bond that you have calculated in...