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2. What would be the initial offering price for the following bonds ( assume semiannual compounding)?
a. A 15- year zero- coupon bond with a yield to maturity ( YTM) of 12 percent
b. A 20- year zero- coupon bond with a YTM of 10 percent

3. Why does the present value equation appear to be more useful for the bond investor than for the common stock investor?

4. What are the important assumptions made when you calculate the promised yield to maturity? What are the assumptions when calculating promised YTC?

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Nelly Stracke
Nelly StrackeLv2
28 Sep 2019

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Last year TA Co. issued a 10-year, 12% semiannual coupon bond at its par value of $1,000. Currently the bond can be called in 4 years at a price of $1,060 and it sells for $1,100. What are the bond’s nominal yield to maturity and its nominal yield to call? Would an investor be more likely to earn the YTM or the YTC?

Show the steps by using BAII Plus calculator Ex: N=?, I=?, PV=?,PMT=?,FV=?

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%

Bond Yield( Choose the best answer)

1. Coupon payments are fixed, but the percentage return that investors receive varies based on the market conditions. this percentage return is referred to as bonds yield.

Yield to Maturity (YTM) is the rate of return expected from a bond held until its maturity date. However, the YTM equals the expected rate of return under certain assumptions. which of the following is one of these assumptions ?

(a)The probability of default is zero

(b)The bond is callable

2.Consider the case of Eades Corp.

Eades Corp. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The bonds have a par value of $1000 and their current market price is $950.35 . However Eades Corp. may call the bonds in eight years at a call price of $1060.

What is their YTM?

(a)9.59%

(b)6.47%

(c)7.36%

(d)7.83%

What is their YTC?

(a)10.46%

(b)9.59%

(c)7.83%

(d)9.35%

3. If interest rates are expected to remain constant, what is the best estimate of the remaining life for Eades corp's bond?

(a)13 years

(b)18 years

(c)5 years

(d)8years

4. If the Eades Corp. issued new bonds today , what coupon rate must the bonds have to be issued at par?

(a)9.59%

(b)8.88%

(c)10.46%

(d)7.36%

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