Question

Last year Carson Industries issued a 10-year, 15% semiannual coupon bond at its par value of $1,000. Currently, the bond can be called in 6 years at a price of $1,075 and it sells for $1,280.

1. What are the bond's nominal yield to maturity and its nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places.

   YTM: %

   YTC: %

   Would an investor be more likely to earn the YTM or the YTC?

• What is the current yield? (Hint: Refer to Footnote 6 for the definition of the current yield and to Table 7.1) Round your answer to two decimal places.

  %

  Is this yield affected by whether the bond is likely to be called?

  1. If the bond is called, the capital gains yield will remain the same but the current yield will be different.
  2. If the bond is called, the current yield and the capital gains yield will both be different.
  3. If the bond is called, the current yield and the capital gains yield will remain the same but the coupon rate will be different.
  4. If the bond is called, the current yield will remain the same but the capital gains yield will be different.
  5. If the bond is called, the current yield and the capital gains yield will remain the same.
• What is the expected capital gains (or loss) yield for the coming year? Use amounts calculated in above requirements for calculation, if required. Negative value should be indicated by a minus sign. Round your answer to two decimal places.

  %

  Is this yield dependent on whether the bond is expected to be called?
  1. The expected capital gains (or loss) yield for the coming year does not depend on whether or not the bond is expected to be called.
  2. If the bond is expected to be called, the appropriate expected total return is the YTM.
  3. If the bond is not expected to be called, the appropriate expected total return is the YTC.
  4. If the bond is expected to be called, the appropriate expected total return will not change.
  5. The expected capital gains (or loss) yield for the coming year depends on whether or not the bond is expected to be called.

Answer 1

answer a)

Bond Yield Example Data
Face Value	$     1,000
Annual Coupon Rate	15.000%*$1000= $ 150 (annual) = $75 (semiannual)
Selling price of bond	$1280
Years to Maturity	10.00
Years to Call	6.0
Call Premium %	7.50%, ( $1075 value at call)
Payment Frequency	2

YTM = RATE(20,75,-1280,1000)*2 = 10.43%

similarly , YTC = RATE(12,75,-1280,1075)*2 = 9.69%

as YTM > YTC , investor would like to earn YTM

Answer 2) Option IV. If the bond is called, the current yield will remain the same but the capital gains yield will be different.

Explain: Current yield is free from time.

Answer 3)capital gain or Loss is calculated by

CGY ( annual) = ((Future price / current price)^1/n -1

Bond price change from , $1075 to $ 1000 in 4 remaining years ,

CGY = (1000/1075)^0.25-1  = (1.79%)

Answer 4) Option V : The expected capital gains (or loss) yield for the coming year depends on whether or not the bond is expected to be called.

Explain: the expected capital gain depend on value of bond change with call