Question

In: Finance

What is the yield of a 3-year bond with a coupon rate of 7% and face...

What is the yield of a 3-year bond with a coupon rate of 7% and face value of $100? Assume the bond is currently trading at a price of $100, and that coupons are paid semi-annually. Assume semi-annual compounding.

Solutions

Expert Solution

When bonds trade at par, the YTM = same as coupon rate = 7%

so yield = 7%, we can also prove using calculation, see below image

Any doubts, feel free to ask. Thumbs up please


Related Solutions

What is the price of a 3-year bond with a coupon rate of 6% and face...
What is the price of a 3-year bond with a coupon rate of 6% and face value of $1,000? Assume the bond is trading at 6% yield, and that coupons are paid semi-annually. Assume semi-annual compounding.
Assume a 7-year zero coupon bond with $1000 face value with a yield of 7% (continuously...
Assume a 7-year zero coupon bond with $1000 face value with a yield of 7% (continuously compounding). Wherever applicable, use e = 2.71828. • What is the price of the bond? • Use the duration to calculate the effect on the bond’s price of a 0.5% decrease on its yield. • Recalculate the bond’s price on the basis of a 6.5% per annum yield and verify that your result in (b) is a good approximation of the change in the...
A ten year bond has a coupon rate of 7% and a yield to maturity of...
A ten year bond has a coupon rate of 7% and a yield to maturity of 9%, will you be willing to pay $1100 for this bond. Please explain.
A 12 year bond 1000 face value bond has an 8% annual coupon and a yield to maturity of 7%
A 12 year bond 1000 face value bond has an 8% annual coupon and a yield to maturity of 7%, what will be the price of the bond 3 years from today?
A bond with a coupon rate of 7 percent sells at a yield to maturity of...
A bond with a coupon rate of 7 percent sells at a yield to maturity of 8 percent. If the bond matures in 11 years, what is the Macaulay duration of the bond? What is the modified duration?
A bond with a coupon rate of 7 percent sells at a yield to maturity of...
A bond with a coupon rate of 7 percent sells at a yield to maturity of 9 percent. If the bond matures in 12 years, what is the Macaulay duration of the bond? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.) Duration Macaulay years Modified years
A five-year $1000 face value bond has a 5% coupon rate and a 10% yield to...
A five-year $1000 face value bond has a 5% coupon rate and a 10% yield to maturity. It makes annual coupon payments selling for $810.46. Please calculate this bond’s (20 points) Macaulay duration Modified duration Convexity If the interest rate rises by 100 bps, what would be the dollar amount change in price?
A bond has a face value of $1,000, a coupon rate of 8%, and a yield...
A bond has a face value of $1,000, a coupon rate of 8%, and a yield to maturity of 9.5%. If the bond matures in 8 years, what is the price of the bond? (Assume coupons are paid annually.)
Suppose that you bought a five year coupon bond with $20,000 face value, 7% coupon rate...
Suppose that you bought a five year coupon bond with $20,000 face value, 7% coupon rate and 7% yield to maturity. After holding it for a year and collecting the first coupon payment you decide to sell it. Calculate the return (in %) on this investment if the interest rate has increased to 9% while selling the bond.
b) Bond with 10 year maturity, a face value or $1,000, a coupon rate of 7%...
b) Bond with 10 year maturity, a face value or $1,000, a coupon rate of 7% (coupon is paid annually) and assume that the yield to maturity on the bond is 7%. Compute the duration of this bond. c) Next, we are going to analyze the effect of time to maturity on the duration of the bond. Compute the duration of a bond with a face value of $1,000, a coupon rate of 7% (coupon is paid annually) and a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT