Question

You find the following corporate bond quotes. To calculate the number of years until maturity, assume that it is currently January 15, 2019 and the bonds have a par value of $2,000. Company (Ticker) Coupon Maturity Last Price Last Yield EST $ Vol (000’s) Xenon, Inc. (XIC) 6.000 Jan 15, 2029 94.243 ?? 57,368 Kenny Corp. (KCC) 7.180 Jan 15, 2028 ?? 5.26 48,947 Williams Co. (WICO) ?? Jan 15, 2035 94.795 6.96 43,808 a. What price would you expect to pay for the Kenny Corp. bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the bond’s current yield? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

a). Bond's Market Value = PV of Coupon Payment + PV of Maturity Value

= [Periodic Coupon Payment * {(1 - (1 + r)^-n) / r}] + [Face Value / (1 + r)^n]

= [{7.18%*$2,000} * {(1 - (1 + 0.0526)^-10) / 0.0526}] + [$2,000 / {1 + 0.0526}^10]

= [$143.60 * {0.4011 / 0.04}] + [$2,000 / 1.6697]

= [$143.60 * 7.6252] + $1,197.83

= $1,094.97 + $1,197.83 = $2,292.81

b). Current Yield = Annual Coupon Payment / Current Bond Price

= [7.18%*$2,000] / $2,292.81 = $143.60 / $2,292.81 = 0.0626, or 6.26%