Ask Question
25 April, 06:55

A company issues a callable (at par) ten-year, 6% coupon bond with annual coupon payments. The bond can be called at par in one year after release or any time after that on a coupon payment date. On release, it has a price of $104 per $100 of face value. What is the yield to maturity of this bond when it is released

+2
Answers (1)
  1. 25 April, 07:01
    0
    Yield to maturity = 1.96% (approx.)

    Explanation:

    Yield to maturity (YTM):

    Yield to maturity measures the annual return an investor would receive if he or she held a particular bond until maturity.

    Formula:

    Yield to maturity = {Coupon + (Face Value - Present Value or call price) / Years till call } / { (face value + Present Value or call price) / 2}

    As the company issues a callable (at par) ten-year, 6% coupon bond with annual coupon payments so

    per face value = $100.

    Years to maturity = 10 years.

    Coupon rate = 6%.

    Annual coupon payment = 0.6 * 100 = $6

    As on release, it has a price of $104 per $100 of face value so

    Present value of bond = $104

    Future value is = $100

    As the bond can be called at par in one year after release or any time after that on a coupon payment date.

    Therefore by putting the values in the above formula, we get

    Yield to maturity = {6 + (100 - 104) / 1 } / { (100 + 104) / 2}

    Yield to maturity = 1.96% (approx.)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A company issues a callable (at par) ten-year, 6% coupon bond with annual coupon payments. The bond can be called at par in one year after ...” in 📘 Business if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers