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The Greeks
Learning Greek symbols in the Stock Market
9
Finance
Graduate
01/24/2010

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Term
Jensen's alpha
Definition

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a risk-adjusted measure of the so-called active return on an investment. the return of a benchmark is subtracted in order to consider relative performance, which yields Jensen's alpha (the abnormal return of a security or portfolio of securities over the theoretical expected return).The alpha coefficient (αi) is a parameter in the capital asset pricing model (CAPM)( a theoretically appropriate required rate of return of an asset, if that asset is to be added to an already well-diversified portfolio, given that asset's non-diversifiable risk.). It is the intercept of the Security Characteristic Line (SCL)(The security characteristic line (SCL) represents the relationship between the market excess return and the excess return of a given asset i at a given time t). Alternatively, it is also the coefficient of the constant in a market model regression.  It can be shown that in an efficient market, the expected value of the alpha coefficient is zero. Therefore the alpha coefficient indicates how an investment has performed after accounting for the risk it involved:
o    αi < 0: the investment has earned too little for its risk (or, was too risky for the return)
o    αi = 0: the investment has earned a return adequate for the risk taken
o    αi > 0: the investment has a return in excess of the reward for the assumed risk

Term
Beta
Definition

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is the measure of the correlated volatility of an investment (or an investment manager's track record) relative to the entire market
o    beta of 0 means that its price is not at all correlated with the market.
o    positive beta means that the asset generally follows the market
o    negative beta shows that the asset inversely follows the market; the asset generally decreases in value if the market goes up and vice versa

Term
Delta (Greek Symbol δ)
Definition

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    measure of an option's sensitivity to changes in the price of the underlying asset. Delta is the first derivative of the value, V, of a portfolio of derivative securities on a single underlying instrument, S, with respect to the underlying instrument's price.  These numbers are commonly presented as a percentage of the total number of shares represented by the option contract
o    Ex - if an American call option on XYZ has a delta of 0.25, it will gain or lose value just like 25% of 100 shares or 25 shares of XYZ as the price changes for small price movements.

Term
Gamma (Greek Symbol γ) -
Definition

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a measure of delta's sensitivity to changes in the price of the underlying asset . Gamma is the second derivative of the value function with respect to the underlying price. Gamma is important because it corrects for the convexity of value.

Term
Theta (Greek Symbol θ) -
Definition

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a measure of an option's sensitivity to time decay. If you are long an option you are short theta: your portfolio will lose value with the passage of time (unless there is enough volatility to offset this).

Term
Rho (Greek Symbol ρ) -
Definition

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a measure of an option's sensitivity to changes in the risk free interest rate. Rho is the derivative of the option value with respect to the risk free rate.

Term
Vega -
Definition

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a measure of an option's sensitivity to changes in the volatility of the underlying asset.  Vega is the derivative of the option value with respect to the volatility of the underlying.

Term
Lambda λ, omega Ω or elasticity -
Definition

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the percentage change in option value per percentage change in the underlying price, a measure of leverage.

Term
Black-Scholes Model
Definition
A mathematical formula designed to price an option as a function of certain variables-generally stock price, striking price, volatility, time to expiration, dividends to be paid, and the current risk-free interest rate.
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