Test 3 Flashcards
What does this test consist of?
30 questions
chapter 7
- 8 computational, 2 conceptual
chapter 8
- 3 computational (coefficient variation, regular cap m, more complicated cap m), 7 conceptual
chapter 9
- 5 computational, 5 conceptual
*** What is a bond?
- a (better/another) long-term debt instrument in which a borrower gets to make payments of principal and interest, on specific dates, to the holders of the bond
– result of money being borrowed with the promise to repay - can be issued by any corporation or any federal/state government
– when a bond is issued, it is issued at par value or at $1000
– when a bond matures, it is worth par value or $1000
What is a bond contract?
contract that specifies the details of the repayment
What are the two parties involved in bonds?
- issuer - party borrowing money (bond is a liability)
- investor/bondholder - party loaning money (bond is an asset)
*** What is the par value or face value?
- the amount a bond sells for when it is first issued
- When the bond matures, this is the amount of debt to be repaid at maturity (a future date)
- Assume $1000 if not stated
*** What are bond payments or coupons?
- Periodic interest payments to be made while the bond is outstanding
– bonds always sell at par value or $1000
– name came from physical coupons
– typically happens every 6 months
– constant throughout the life of the bond, unless specified in the contract
What is the coupon rate?
the percentage of the par value paid in coupon payments each year on a bond (expressed as APR)
What is the discount rate?
it is not the same thing as the coupon rate
– reflective of the current market rate of interest
*** What is the value of a 10-year, 10% annual coupon bond, if the discount rate (rd) is 10%?
n = 10
I/yr = 10
* pv = -1000
pmt = 100
fv = 1000
*** bond problem
- a 6-year bond has a 8% coupon rate and makes payments annually. Find the present value if the market rate (expressed as APR) is:
4%
7.5%
9%
1209.69
1023.47
955.14
*** What do you do to the formula for a semi-annual bond?
(2) x N
I/yr / (2)
pmt / (2)
*** semiannual bond problem
- A 6-year bond has a 6.5% coupon rate and makes payments semi-annually.
- Find the present value if the market value rate (expressed as APR) is
3.80%
6%
7.5%
(3.80)
n = 12 (6 x 2)
I/yr = 1.90 (3.80 / 2) /// 3 /// 3.75
* pv = 1143.65 /// 1024 /// 952.39
pmt = 32.5 ((6.5% x 1000) / 2)
fv = 1000
*** semiannual bond problem
- A 3-year bond has a 6.5% coupon rate and makes payments semi-annually.
- Find the present value if the market value rate (expressed as APR) is 3.95%
n = 6 (3 x 2)
I/yr = 1.975 (3.95 / 2)
* pv = 1071
pmt = 32.5 ((6.5% x 1000) / 2)
fv = 1000
*** semi-annual bond problem
- A 3-year bond has a 6.5% coupon rate and makes payments semi-annually.
- Find the present value if the market value rate (expressed as APR) is 6.5%
n = 6 (3 x 2)
I/yr = 3.25 (6.5% / 2)
* pv = 1000
pmt = 32.5 ((6.5% x 1000) / 2)
fv = 1000
*** semi-annual bond problem
A 3-year bond has a 6.5% coupon rate and makes payments semi-annually.
- Find the present value if the market value rate (expressed as APR) is 10%
n = 6 (3 x 2)
I/yr = 5 (10% / 2)
* pv = 911
pmt = 32.5 ((6.5% x 1000) / 2)
fv = 1000
When market interest rate = coupon rate…
the bond sells at exactly at par value
- or at $1000
When market interest rate < coupon rate…
the bond sells at a discount
- or less than $1000
When market interest rate > coupon rate…
the bond sells at a premium
- or greater than $1000
What is the relationship between market interest rate and the price of bonds?
- inverse relationship
- as one goes up, the other will go down
What are bond yields?
- I/yr
- bonds are traded in the markets, so price can be viewed as the market’s assessment of the present value of its cash flows
What is Yield to Maturity? (YTM)
- I/yr
- discount rate that equates bond price to the present value of all promised cash flows
- if you buy a bond today, this is the interest rate that you are going to get if you hold that bond to maturity
*** What is the YTM on the following bond? 10-year, 9% annual coupon, $1000 par value, selling for $887.
n = 10
* I/yr = 10.91
pv = -887
pmt = 90 (1000 x 9%)
fv = 1000
*** What is the YTM on the following bond? 10-year, 7.5% annual coupon, $1000 par value, selling for $925.
n = 10
* I/yr = 8.65
pv = -925
pmt = 75 (1000 x 7.5%)
fv = 1000
*** What is the YTM on the following bond? 14-year, 10% annual coupon, $1000 par value, selling for $1494.93.
n = 14
* I/yr = 5
pv = -1494.93
pmt = 100 (1000 x 10%)
fv = 1000
*** What is the YTM on the following bond? 15-year, $1000 par value, selling for $1145.68, coupon payment is $75.
n = 15
* I/yr = 6
pv = -1145.68
pmt = 75
fv = 1000
*** If price is equal to par value…
yield to maturity is equal to the coupon rate
*** If a bond is selling at a discount…
yield to maturity is greater than the coupon rate
*** If a bond sells at a premium…
yield to maturity is less than the coupon rate
How do we price a bond as maturity approaches?
- think of graph
- as a bond gets closer to maturity, the closer it gets to par value or $1000
- premium bond prices will slowly decrease until reaching par value or $1000 with time
- discount bond prices will slowly increase until reaching par value or $1000 with time
*** For a bond that is at a discount, current yield will be…
less than yield to maturity (YTM)
*** For a bond that is at a premium, current yield will be…
greater than yield to maturity (YTM)
What is current yield?
- formula
(annual coupon x years) / selling price
*** Find the current yield for a 10-year, 9% annual coupon bond that sells for $887, and has a face value of $1000.
90 / 887 = .1015 = 10.15%
What is interest rate risk (price risk)?
- risk associated with price fluctuations caused by interest rate changes
- price of bonds is inversely related to changes in interest rates
– if a bond is held to maturity, the interest rate risk is irrelevant
– the longer the term of the bond (term until maturity) , the higher the risk
– lower-coupon bonds have greater interest rate risk
What is reinvestment rate risk?
- the risk that the market rate will be lower compared to what it once was when you actually go to reinvest the principle or coupon payments
- to earn the yield to maturity, the coupons must be reinvested at the same yield to maturity. if this is not achieved, final yield will be different
What is default risk?
the probability of not getting paid back
What is the role of junk bonds (high yield bonds)?
bonds considered to have a high default risk, so they pay a high rate of interest
What is a default premium?
- using higher interest rates to compensate the bondholder for the risk of default
- high risk is associated with high return
*** What are the bond ratings?
AAA - the strongest
AA - very strong
A - strong
BBB - adequate
BB - considerable uncertainty
B - questionable
– A or B is investment grade
– C or below is junk, because they may already be in default and they offer little prospect for interest or principle on the debt ever to be repaid
What is a corporate bond?
- a bond that is issued by a corporation
- typically pays interest semi-annually
- if a firm misses a payment, corporate bondholders can force the firm into bankruptcy, because they have first claim on assets
*** What factors affect default risk and bond ratings?
financial performance
- debt ratio
- TIE ratio
- current ratio
qualitative factors: bond contract terms
- secured (backed by assets) vs. unsecured debt
- senior (paid first) vs. subordinated (paid after senior debt) debt
- guarantee and sinking fund provisions
- debt maturity (when and how is debt going to be paid off)