Chapter 7 - Bonds Flashcards
What is an IOU that obligates the issuer of the bond to pay the holder of the bond the face value at the bond’s maturity and sometimes the coupon rate payments during the life of the bond?
A straight bond
What is the bond’s face value also known as?
Par value
When is the par value paid?
At the maturity date
What is the stated interest rate paid by the issuer?
The coupon interest rate
Is the coupon rate fixed or variable?
Fixed
What is the length of time until the bond must be repaid called?
The maturity date
What is the date when the bond was issued called?
The issued date
What is the rate of return earned on a bond held until maturity called?
The yield of maturity
What is a protection against a drop in interest rates for the bond issuer?
A callable bond
When do companies call the bond?
When the market rate significantly drops
What is it called when you buy back a bond little by little before the end of the maturity date?
A sinking fund
What does N represent in the bond formula?
The number of coupon payments
What does I represent in the bond formula?
The market interest rate/ the yield to maturity
What does PV represent in the bond formula?
The bond selling price
What does PMT represent in the bond formula?
Coupon amount
What does FV represent in the bond formula?
Face value
What type of line does a par bond have on a graph?
A straight line
What type of line does a discount bond have on a graph?
An upward sloping line
What type of line does a premium bond have on a graph?
A downward sloping line
True or False:
At maturity, the value of any bond must equal its par value
True
When will a premium bond stop decreasing over time?
When it reaches face/par value
When will a discount bond stop increasing over time?
When it reaches face/par value
What are the 2 formula to find the current yield (CY)?
- (Annual coupon payment/bond selling price) x 100
2. (PMT/PV) x 100
What are the 2 formulas to find the capital gains yield (CGY)?
- YTM - current yield
2. (Bond selling price - Bond purchase price) / Bond purchase price
What is the formula to find the expected rate of return?
CY + CGY
What is the expected total return equal to?
YTM
What is not useful for callable bonds?
YTM
What type of risk do holders of bonds face?
An interest rate risk
What is an interest rate risk also known as?
A price risk
What is the possibility that changes in interest rates will result in losses in the bond’s value?
The interest rate risk
What is the yield actually earned or “realized” on a bond?
The realized yield
What is the realized yield is almost never equal to?
The yield to maturity
What is the formula to find PMT?
Face value x coupon rate
In what two instances is a bond considered a par bond?
- Bond selling price(PV) = face value(1000)
2. YTM(I) = coupon rate
In what two instances is a bond considered a discount bond?
- Bond selling price(PV) < face value(1000)
2. YTM(I) > coupon rate
In what two instances is a bond considered a premium bond?
- Bond selling price(PV) > face value(1000)
2. YTM(I) < coupon rate
How do you calculate N if the coupon bond is semiannually?
N x 2
How do you calculate I if the coupon bond is semiannually?
I / 2
How do you calculate PMT if the coupon bond is semiannually?
PMT / 2
Find the price of a semiannual coupon bond given that the coupon rate = 7%, the face value = $1000, the required return = 6%, and there are 5 years remaining until maturity.
- Calculate N
- Calculate I
- Calculate PMT
- N = 5 x 2 = 10
- I = 6% / 2 = 3%
- PMT = (1000 x 7%) / 2 = 35
Solve the problem:
Find the yield to maturity on a semiannual coupon bond given that the bond price = $1111, the coupon rate = 10%, the face value = $1000, and there are 8 years remaining until maturity.
N = 8 x 2 = 16 PV = 1111 PMT = (1000 x 10%) / 2 = 50 FV = 1000
I = 4.04% x 2 = 8.09%
Solve the problem:
Find the coupon rate on a semiannual coupon bond given that the bond price = $1111, the yield of maturity = 10%, the face value = $1000, and there are 8 years remaining until maturity.
N = 16 I = 10/2 = 5% PV = 1111(-) FV = 1,000
PMT = (60.24 x 2) / 1000 PMT = 120.48/ 1000 = 12.1
Solve the problem:
Find the current yield and the capital gains yield for a 10-year, 9% annual coupon bond that sells for $887, and has a face value of $1,000.
N = 10 I = 10.9117% PV = $887 PMT = $90 FV = $1,000
YTM = CY + CGY CY = PMT / PV CY = 90 / 887 = 10.15%
- 9117 = 10.15 + CGY
- 9117 - 10.15 = CGY
- 7617% = CGY