
The answer is 13.5715 years, but I'm not sure how to get there.


The answer is 13.5715 years, but I'm not sure how to get there. Calculate the Macaulay...
Find both the Macaulay and Modified duration of a bond with a settlement date of May 27, 2020, and maturity date November 15, 2031. The coupon rate of the bond is 5.5%, and the bond pays coupons semiannually. The bond is selling at a bond -equivalent yield to maturity of 6.5%.
5. A 30-year 1000 par value bond with coupons at 9% payable semiannually and a redemption value of 1100 is purchased for a price that results in a yield of 12% compounded semiannually. Suppose that the bond is called (i.e. redeemed) prior to the actual maturity date and results in an actual nominal yield rate convertible semiannually of 14%. Note: Assume that the bond is called immediately after a coupon payment is made. Calculate the number of years the bond...
Calculate the Macaulay duration of a 10%, $1,000 par bond that
matures in three years if the bond's YTM is 12% and interest is
paid semiannually.
Calculate this bond's modified duration (years). Do not round
intermediate calculations. Round your answer to two decimal
places.
Assuming the bond's YTM goes from 12% to 10.5%, calculate an
estimate of the price change. Do not round intermediate
calculations. Round your answer to three decimal places (in %). Use
a minus sign to enter...
Suppose that a 9-year bond with a face value of 1000 dollars pays semiannual coupons at a rate of 5.5 percent per half year. The issuer of the bond has the option to redeem it at the time of the 16th coupon for 2100 dollars, or at maturity for 2000 dollars. Find the price that will guarantee an investor a yield rate of at least 12.1 percent convertible semiannually, regardless of when the bond is redeemed.
1. Nov, 2005 #2. Calculate the Macaulay duration of an eight-year 100 par value bond with 10% annual coupons and an effective rate of interest equal to 8%. (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
please answer the questions according to the marks appointed per
question and sub question. this is a banking and finance question
so please answer it accordingly.
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...
QUESTION 8 (16 marks) (a) [5 marks] John purchases a $1000 face value 10-year bond with coupons of 8% per annum paid half-yearly. The bond will be redeemed at C. The purchase price is $800 and the exact present value of the redemption amount C is $301.5116. Calculate the redemption amount C, and state if the bond is redeemed at par, discount or premium. (Hint: a at 3% is 14.87747 ag at 4% is 13.59033, a at 5 % is...
A bond with face value = 9,000 currently trades at par. Its Macaulay duration is 5.32 years and its convexity is 56.02. Suppose yield currently is 2.74%, and is expected to change to 2.01%. Calculate the approximate dollar change in price using both duration and convexity. Assume annual compounding. Round your answer to 2 decimal places.
Please answer with mathematical formulas, not an excel sheet
please
3. John borrows an amount at an annual interest rate of 8%. He repays all interest and principal in a lump sum at the end of ten years John uses the amount borrowed to purchase a 5-year bond with a par value of 1000 with coupons at a nominal rate of 10% payable semiannually, with the first coupon paid at the end of 6-month period from now. The bond is...
15. A 10-year 1000 par value bond was purchased to yield 6% convertible semiannually. The bond has a bucoupon rate of 4% and pays semiannual coupons. The bond investor reinvests the coupons into an account paying a nominal annual rate of 8% convertible semiannually. Find the overall yield earned by the bond investor over the life of the bond, expressed as an effective annual rate. (A) 6.1% (B) 6.2% (C) 6.3% (D) 6.4% (E) 6.5%