Question

In: Finance

A 2-year $100 par value bond pays 5% semi-annual coupons. The 6-month spot rate is 2%,...

A 2-year $100 par value bond pays 5% semi-annual coupons. The 6-month spot rate is 2%, the 1-year spot rate is 2.5%, the 18-month spot rate is 3% and the 2-year spot rate is 4%.

Determine the price of the bond

Determine the yield to maturity of the bond

Solutions

Expert Solution

Price of the Bond is calculated as follows:

Formulas used in the excel sheet are:

Price of the bond is $ 103.99 and Annual YTM is 7.91%


Related Solutions

A company buys a 100 par value bond with 5% annual coupons. The company pays a...
A company buys a 100 par value bond with 5% annual coupons. The company pays a price that will give it a yield rate of 4% effective if the bond matures at par at the end of 7 years. The company receives all coupons when due. However, at the end of 7 years, the company receives a maturity value of only 90, due to the bankruptcy of the issuer of the bond. The company's effective annual yield rate over the...
A 3-year $100 par value bond pays 9% annual coupons. The spotrate of year 1...
A 3-year $100 par value bond pays 9% annual coupons. The spot rate of year 1 is 6%, the 2- year spot rate is 12%, and the 3-year spot rate is 13%.a) Determine the price of the bondb) Determine the yield to maturity of the bondA 2-year $100 par value bond pays 5% semi-annual coupons. The 6-month spot rate is 2%, the 1-year spot rate is 2.5%, the 18-month spot rate is 3% and the 2-year spot rate is 4%.c)...
Consider a 30-year bond that pays semi-annual coupons of $500. The face value of the bond...
Consider a 30-year bond that pays semi-annual coupons of $500. The face value of the bond is $100, 000. If the annual yield rate is 3%, calculate the following: a) the annual coupon rate of the bond b) the price of the bond, one period before the first coupon is paid c) the price of the bond, immediately after the 15th coupon is paid d) the price of the bond, 2 months after the 30th coupon is paid *No financial...
A 2-year $100 par value bond pays 10% monthly coupons is sold at par. Determine its...
A 2-year $100 par value bond pays 10% monthly coupons is sold at par. Determine its effective annual rate.
A bond that pays annual coupons has a par value of $1,000, an 8% coupon rate,...
A bond that pays annual coupons has a par value of $1,000, an 8% coupon rate, 3 years left to maturity, and is currently priced at a YTM of 6.0%. (a) Calculate duration and modified duration for the bond. (b) If the YTM on the bond changes from its current 6.0% up to 8.0%, what price change (% and $) and new price ($) is predicted by the modified duration calculated in part a.? (c) What is the size and...
A 20-year bond with a face value of $1,000 will mature in 8 years. The bond pays semi-annual coupons at 5% p.a
A 20-year bond with a face value of $1,000 will mature in 8 years. The bond pays semi-annual coupons at 5% p.a. compounding half-yearly. Mia wants to purchase the bond at a price which gives her a yield to maturity of 6% p.a. compounding half-yearly. Calculate the maximum price Mia should pay for the bond. (Round your answer to the nearest cent).
Calculate the price of an 8% coupon, $1000 face value, 2-year bond that pays semi-annual coupons...
Calculate the price of an 8% coupon, $1000 face value, 2-year bond that pays semi-annual coupons if the appropriate annual discount rate is 12%. Suppose the annual discount rate on this bond rises to 16% after six months and you sell the bond at the end of the first year. What return did you actually make for the one year that you held this bond? Please show all work and do not use excel or a finance calculator.
A 2-year $100 par value bond pays 10% monthly coupons is sold atpar. Determine its...
A 2-year $100 par value bond pays 10% monthly coupons is sold at par. Determine its effective annual rate
A $100 par value bond with 2% annual coupons and maturing at $105 in 3 years....
A $100 par value bond with 2% annual coupons and maturing at $105 in 3 years. Given an effective annual interest rate of 5%, a) Compute the Macaulay convexity of this asset.   b) Compute the modified convexity of this asset.
Consider a 2-year Treasury bond with a face value of $100 and that pays coupons at...
Consider a 2-year Treasury bond with a face value of $100 and that pays coupons at a rate of 6% semiannually. What is the bonds par yield given the following Treasury zero rates? Maturity (years) Zero rates 0.5          3.0% 1.0          3.3% 1.5          3.6% 2.0          3.9% a) 3.89% b)3.99% c)4.19% d)4.39%
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT