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16. eBook Problem Walk-Through Last year Carson Industries issued a 10-year, 13% semiannual coupon bond at...

16.

eBook Problem Walk-Through

Last year Carson Industries issued a 10-year, 13% semiannual coupon bond at its par value of $1,000. Currently, the bond can be called in 6 years at a price of $1,065 and it sells for $1,200.

  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?

    -Select-Since the YTM is above the YTC, the bond is likely to be called.Since the YTC is above the YTM, the bond is likely to be called.Since the YTM is above the YTC, the bond is not likely to be called.Since the YTC is above the YTM, the bond is not likely to be called.Since the coupon rate on the bond has declined, the bond is not likely to be called.Item 3

  2. 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.

    -Select-IIIIIIIVVItem 5

  3. 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.

Solutions

Expert Solution

Bond Value
Nper 20 number of payments
i/y
4.907686%
ytm(yield to maturity)
PV -1200 Present value
PMT 65 Coupon Payment -> Coupon Rate *FV
FV 1000 Face value or future value
Nper 12 number of payments
i/y
4.978687%
ytm(yield to call)
PV -1200 Present value
PMT 65 Coupon Payment -> Coupon Rate *FV
FV 1065 Face value or future value

use rate function to calculate the yield.

A) YTC AND YTM are

4.978687%x2 9.956% and
4.907686%x2 9.814%

Investor Return is high in YTC

B) Current yield = coupon payment/ market price

=130/1200

=10.833%

if the bond is called, the current yield will remain the same but the capital gains yield will be different.

C) Capital gain = Current price-face value/face value =1200-1000/1000

= 200/1000

=20%

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


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