Question

In: Finance

Suppose a bond with a 3% coupon rate and semi annual coupons, has a face value...

Suppose a bond with a 3% coupon rate and semi annual coupons, has a face value of $1000.30 years of two maturity and selling for $945.82. What is the yield to maturity?

Solutions

Expert Solution

To find the YTM, we need to put the following values in the financial calculator:

N = 2*2 = 4;

PV = -945.82;

PMT = (3%/2)*1000 = 15;

FV = 1000;

Press CPT, then I/Y, which gives us 2.96

So, Periodic Rate = 2.96%

YTM = Periodic Rate * No. of compounding periods in a year = 2.96% * 2 = 5.91%


Related Solutions

A T-bond with semi-annual coupons has a coupon rate of 3%, face value of $1,000, and...
A T-bond with semi-annual coupons has a coupon rate of 3%, face value of $1,000, and 2 years to maturity. If its yield to maturity is 4%, what is its Macaulay Duration? Answer in years, rounded to three decimal places
Suppose a bond with the 8.5% coupon rate in a semi annual coupons has a face...
Suppose a bond with the 8.5% coupon rate in a semi annual coupons has a face value of a $1000 , 10 years to maturity and is selling for $1685.82 what’s the yield to maturity?
A T-bond with semi-annual coupons has a coupon rate of 6%, face value of $1,000, and...
A T-bond with semi-annual coupons has a coupon rate of 6%, face value of $1,000, and 2 years to maturity. If its yield to maturity is 4%, what is its Macaulay Duration? Answer in years, rounded to three decimal places. Please show your work. Thank you.
A T-bond with semi-annual coupons has a coupon rate of 7%, face value of $1,000, and...
A T-bond with semi-annual coupons has a coupon rate of 7%, face value of $1,000, and 2 years to maturity. If its yield to maturity is 5%, what is its Macaulay Duration? Answer in years, rounded to three decimal places.
A 3-year, semi-annual bond has an 8% coupon rate and a face value of $1,000. If...
A 3-year, semi-annual bond has an 8% coupon rate and a face value of $1,000. If the yield to maturity on the bond is 10%, what is the price of the bond?
Suppose a bond with a 10% coupon rate and semiannual coupons, has a face value of...
Suppose a bond with a 10% coupon rate and semiannual coupons, has a face value of $1000, 20 years to maturity and is selling for $1197.93. ◦Is the YTM more or less than 10%? 1197.93 = 50[1 – 1/(1+r)40] / r + 1000 / (1+r)40 i know the answer is 4% but how can i calculated the r by hand?
A bond with face Value =$1,000 with semi-annual payments, a coupon rate of 7%, and has...
A bond with face Value =$1,000 with semi-annual payments, a coupon rate of 7%, and has 8 years to maturity. The market requires a yield of 8% on bonds of this risk. What is this bond’s price?
Suppose Bond A has a face value worth $1000. It pays a coupon on a semi-annual...
Suppose Bond A has a face value worth $1000. It pays a coupon on a semi-annual basis, and the annual coupon rate is 8%. The YTM is 10%. The bond will mature 10 years from now. Suppose that you buy Bond A today. After 6 months from the time of buying the bond, you decide to sell the bond (you sell the bond after you receive the first coupon). Right before you sell the bond, the YTM goes up to...
A bond has a face value of $1000 and the coupon rate is 6%. Coupons are...
A bond has a face value of $1000 and the coupon rate is 6%. Coupons are paid semiannually. The bond matures in six years. The market interest rate is 7%. What is the present value of this bond? And Suppose the price of the bond equals to the present value of the bond. What is the current yield of this bond?
Suppose that a bond has the following terms: •10-years-to-maturity •$1000 face value •Semi-annual coupons, with an...
Suppose that a bond has the following terms: •10-years-to-maturity •$1000 face value •Semi-annual coupons, with an annual coupon rate of 5% Suppose that all discount rates are 7%. 1. Calculate the price of the bond. 2. Calculate the bond’s modified duration. 3. Calculate the bond’s convexity. 4. If discount rates increase to 10%, what is the new price of the bond. Do (i) the actual calculation and (ii) approximate the new bond price using the duration and convexity. How well...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT