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7 Mar 2019

Speculate as to why an investor may buy into the bond market when prices are dropping. Provide support for your rationale. Determine two reasons that the stated yield to maturity and realized compound yield to maturity of a default free zero coupon bond must always be equal. Support your answer with examples.

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Hubert Koch
Hubert KochLv2
8 Mar 2019

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The current yield curve for default-free zero-coupon bonds is as follows:

Maturity (years) YTM
1 11.0 %
2 12.0
3 13.0


a. What are the implied one-year forward rates? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Maturity (years) YTM Forward Rate
1 11.0 %
2 12.0 % %
3 13.0 % %


b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will the pure yield curve (that is, the yields to maturity on one- and two-year zero-coupon bonds) be next year?

There will be a shift upwards in next year's curve.
There will be a shift downwards in next year's curve.
There will be no change in next year's curve.


c-1. If you purchase a two-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint: Compute the current and expected future prices.) Ignore taxes. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Expected total rate of return %

c-2. If you purchase a three-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint: Compute the current and expected future prices.) Ignore taxes. (Do not round intermediate calculations. Round your answer to 2 decimal places.)


Expected total rate of return %

All:

Everyone today has to be concerned about being able to retire comfortably when they keep telling us that Social Security will be bankrupt in 2037, a mere 22 years from now, and that it is an entitlement, not something that we and our employers all paid into since we got our first job.

A retirement planner is attached to this message so you can estimate how much money you will need to save to be able to do the things most retirees want to do when they are no longer working.

Then provide your calculations to the class and make a statement as to what you think and if you can achieve it?

For Week 3, please turn in the answers to the following questions:

1. Define the following terms as they apply to bonds:

a. Face value

b. Maturity date

c. Coupon interest (including coupon interest rate)

d. Current yield

e. Yield to maturity (YTM)

f. Yield to call (YTC)

g. Call premium

2. What are “Zero-coupon” bonds?

3. Suppose you see the following bond price quote in the newspaper:

McDonalds 5.7% 2039……..122.733

What can you tell about this bond from reading the price quote?

4. (calculating the present value of a bond) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7% and a yield to maturity (YTM) of 4.201%, what should be its price in the bond market (ie, PV)?

5. (calculating the current yield of a bond) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7% and a market price of $1,223.92, what is its current yield?

6. (calculating the YTM of a bond) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7% and a market price of $1,223.92, what is its yield to maturity (YTM)?

7. (calculating the YTC of a bond) Assume a callable corporate bond with a face value of $1,000, a coupon interest rate of 5.7%, a market price of $1,223.92, and a call premium of 6%. Assume also that the bond has 24 years to go until it matures, but it is callable after 14 years. What is the bond’s yield to call (YTC)?

8. (calculating the present value of a bond with semi-annual coupon interest payments) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7%, paid semiannually, and has a yield to maturity (YTM) of 4.2%, what should be its price in the bond market (ie, PV)?

9. (calculating the YTM of a bond with semiannual interest payments) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7%, paid semiannually, and has a market price of $1,223.92, what is its yield to maturity (YTM)?

10. Define the following terms as they apply to interest rates:

a. The real risk-free rate (r*)

b. The nominal risk-free rate (Rrf)

c. The inflation premium (IP)

d. The default risk premium (DRP)

e. The liquidity premium (LP)

f. The maturity risk premium (MRP)

11. Assume the real risk-free rate is 1%. Assume also that inflation is expected to be 1% in the coming year (year 1), 2% in the next year after that (year 2), and 3% in the year after that (year 3). Assume also that the default risk premium, the liquidity premium, and the maturity risk premium are 0%. Given these conditions, what would be the yield on three-year treasury bonds today?

12. Suppose the First Bank of St Louis was offering the following rates on certificates of deposit (CDs) this week:

Maturity Rate

3 month 1.50%

6 month 1.75%

1 year 2.00%

2 year 2.25%

3 year 2.50%

5 year 2.75%

10 year 3.00%

20 year 3.15%

a. Plot the above data on a yield curve. Label the graph and the axes appropriately.

b. Comment on the implications of this curve to you, as a potential investor in CDs.

End of assignment questions

(see answers to numerical problems on the next page)

Answers to numerical problems:

Question 4: $1,223.92

Question 5: 4.66%

Question 6: 4.2%

Question 7: 3.92%

Question 8: $1,225.44

Question 9: 4.21%

Question 11: 3.0%

Fill in the blank using a number of terms listed below (@1 point per question).

Beta coefficient, Bonds, CAPM, Cash flows, Change, CV, Convertible bonds, Correlation, Correlation coefficient, Debenture, Discount, Diversifiable risk, Expected return, Interest rate risk, Inverted, Junk Bonds, Market risk, More, Normal, Opposite, Probability distribution, Ratings, Reinvestment rate risk, Risk, Risk averse investor, Risk premium, Standard deviation

When interest rates move up or down, bond prices move in the _________________ direction.

_____________ are referred to as non-amortized debt, which means interest is paid regularly during the term, usually semiannually, whereas repayment of principal does not occur until the maturity date.

The longer a bond has to maturity, _______________ sensitive the bond’s price is to changes in market interest rates. This is called ________________________.

Bonds with short maturities expose investors to high ____________________, which is the risk that income from a bond portfolio will decline because cash flows received from bonds will be rolled over at lower interest rates.

A bond with an annual coupon payment of $100 originally sold at par for $1,000. Market interest rates are currently 12%. This bond would be selling at a _____________ in order to compensate the purchaser for the below market coupon rate.

Once a bond has been issued, if the holder of the bond retains it until maturity the market value of the bond may ________________, but the ________________ will not.

An unsecured bond is referred to as a(n) __________________.

____________________ can generally be issued at somewhat lower interest rates than regular bonds.

Double-B and lower bonds are speculative, to be called _______________.

Bonds are assigned _____________ that reflect the probability of their going into default. The higher it is, the lower its risk and therefore its interest rate.

When the yield curve slopes upward, it is said to be _______________, because it is like this most of the time. Conversely, a downward-slopping yield curve is termed ______________.

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