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fin 3510
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in-the-money
an option that would yield a positive payoff if exercised
out-of-the-money
an option that would not yield a positive payoff if exercised
at-the-money
stock price = strike price
delta
buying a fractional share of the underlying asset
american style
exercise anytime before expiration
european style
exercise only at expiration
prime rate
basic short-term interest rate for loans to creditworthy customers
federal funds rate
rate banks charge each other for overnight loans
discount
interest rate for loans from federal reserve to commercial banks
call money
interest rate for loans to brokerage firms
fisher hypothesis
suggests nominal rates reflect general inflation levels over time, staying above inflation rates
expectations theory
yield curve reflects market expectations on future rates
market segmentation theory
interest rates vary by market segment based on maturity
maturity preference theory
a maturity premium is necessary for longer-term loans due to increased risk
STRIPS
created by separating coupon and principal payments from treasury securities
TIPS
marketable treasury securities whose principal and interest payments are adjusted for inflation
premium bonds
coupon and current yield are higher than ytm
discount bonds
coupon rate and current yield are lower than ytm
par value bonds
coupon rate, current yield, and ytm are all equal.
interest rate risk
possibility that changes in interest rates will result in losses in the bonds value
reinvestment risk
uncertainty about the value of the portfolio on the target date
price risk
bonds in a dedicated portfolio will decrease in value in response to an increase in interest rates
dynamic immunization
periodic rebalancing of a dedicated bond portfolio for the purpose of maintaining a duration that matches target maturity date
diversification
holding multiple investments can mitigate risk as not all investments rise or fall simultaneously
beta
computed as weighted average. Beta of 1 is market average. Beta of 0 would be beta neutral.
correlation
tendency of the returns on two assets to move together. imperfect correlation helps reduce risk.
-1 perfect negative correlation
0 uncorrelated
+1 perfect positive correlation
futures contracts
standardized
forward contracts
customized
systematic risk
risk that influences a large number of assets
unsystematic risk
risk that influences a single company or small group of companies
correlation
tendency of the returns on two assets to move together
Malkiel’s Theorem 1
bond prices and bond yields move in opposite directions
Malkiel’s Theorem 2
the longer the term to maturity, the great the magnitude of change in bonds price.
Malkiel’s Theorem 3
for change in bonds ytm, the size of the change in bonds price increases at a diminishing rate as the bonds term to maturity lengthens
Malkiel’s Theorem 4
for change in bonds ytm, the resulting percentage change in the bonds price is inversely related to bonds coupon rate
Malkiel’s Theorem 5
for change in ytm, magnitude of the price increase caused by a decrease in the yield is greater than the price decrease caused by an increase in yield
reward-to-risk ratio
must be equal if they are correctly priced
capm
theory of risk and return for securities in a competitive capital market
security market line
underpriced - over SML
fairly priced - on the line
overpriced - under SML
efficient portfolio
offers highest return for its level of risk
minimum variance portfolio
lowest risk portfolio of any possible portfolio given the same securities but in differing proportions
spot-futures parity
futures price of a commodity is equal to future value of cash price calculated as risk-free rate.
futures inverted
futures is less than future spot price
future normal
futures is more than spot price
cross-hedging
refers to hedging particular short position with futures contracts on a related commodity or financial instrument.
long-hedge
investor buys a futures contract to protect against potential increases in the price of an asset they intend to buy in the future
short-hedge
selling a contract to deliver the asset at a predetermined price in the future to protect against decrease in price