Chapter 7 Flashcards
What is the PV of a bond?
Par value = face value, principal amount the issuer must pay back at maturity
What is the significance of the discount rate?
Discount rate = rate at which you would discount a FV to determine the PV
Discount rate is chosen based on the risk of the particular bond
What is the significance of the sum of the PV of a bond’s coupon and principal?
Fair price of a bond
If you were told that a 7% semi-annual bond matures in 5 years at discount rate of 4%, demonstrate the price of the bond
PV OF THE INCOME STREAM:
PV OF THE PRINCIPAL:
PV OF THE BOND:
T-bill has a price of 97.45 and matures in 69 days, demonstrate how to calculate annual yield
Yield = 100 - Price / Price X 365 / term X 100
Yield = 100 - 97.45 / 97.45 X 365 / 69 X 100
Define the current yield of a bond
Current yield only looks at cash flows and the current market price of an investment. NOT what was originally invested
Current Yield = annual cash flow / current market price x 100
What is the formula for the approximate YTM
A 4 year, semi-annual, 9% bond, trading at 96.77
N = 8 PMT = 4.50 PV = -96.77 FV = 100 COMP I/Y
I/Y = 4.9997
What is the difference between current yield, approximate yield, and YTM?
Current yield: looks only at cash flows and current market price of an investment, NOT amount originally invested
Approximate yield:
YTM: reflects investors return in the form of coupon income + any capital gain from purchasing the bond at discount or capital loss from purchasing bond at premium. YTM takes into account; current market price, term to maturity, par value at maturity, and coupon rate
What is reinvestment risk?
The risk that the coupons will earn a return at lower overall rate than the rate that prevailed at the time the bond was purchased is the reinvestment risk
What is the difference between the nominal and real rate of return?
Nominal rate of return: includes inflation
Real rate of return: removes inflation
Compare a normal yield curve to inverted yield curve
Normal yield curve; up right
Inverted yield curve ; down right
Describe the 3 theories proposed to describe the shape of the yield curve
Expectations Theory: current long-term interest rates foreshadow future short-term rates. 1 long term bond = 2 short term bonds
Liquid Preference Theory: investors prefer short term bonds, they are more liquid and less volatile
Market Segment Theory: various institutional players concentrate in specific term sector
Describe the relationship between bond prices and interest rates
Interest rates rise = bond yield rise + bond price falls
Interest rates fall = bond yield fall + bond price rises
Interest rates and bond yields match, bond price does opposite
Describe the impact of different maturity lengths on bond prices
Long term bonds are more volatile than short term bonds
As bonds approach maturity, they become less volatile
Describe the impact of different coupon rates on bond prices
Lower coupon bonds are more volatile in price change than high-coupon bonds
When yields rise, bond prices drop, but lower coupon bonds will drop significantly more