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IEOR E4718 Topics in Derivatives Pricing
IEOR E4718 Topics in Derivatives Pricing

Notes on Stochastic Finance
Notes on Stochastic Finance

Chapter 1: Intro to Derivatives
Chapter 1: Intro to Derivatives

... – For prepaid forwards on an index, assume the dividend rate is d, then the dividend paid in any given day is d/365 x S o If we reinvest the dividend into the index, one share will grow to more than one share over time o Since indices pay dividends on a large number of days it is a reasonable approx ...
notes - University of Essex
notes - University of Essex

... The partial derivative of f (S, X, τ, R, σ) with respect to each of its arguments is crucial in designing strategies involving options. Collectively, the partial derivatives are known as ‘the Greeks’ — gamma, theta, rho and even ‘vega’ appear, as well as delta. The meaning of each term is as follow ...
3. The Black-Scholes model
3. The Black-Scholes model

Multiple-Choice Quiz (with answer key)
Multiple-Choice Quiz (with answer key)

Option Hedging with Smooth Market Impact
Option Hedging with Smooth Market Impact

Unconstrained Fitting of Non-Central Risk-Neutral
Unconstrained Fitting of Non-Central Risk-Neutral

С П Е Ц И Ф И К А Ц И Я
С П Е Ц И Ф И К А Ц И Я

Currency Trading using the Fractal Market Hypothesis
Currency Trading using the Fractal Market Hypothesis

Hedging
Hedging

The Greek Letters
The Greek Letters

Valuing Stock Options: The Black-Scholes
Valuing Stock Options: The Black-Scholes

OPTIONS AND FUTURES CONTRACTS IN ELECTRICITY FOR
OPTIONS AND FUTURES CONTRACTS IN ELECTRICITY FOR

... contracts. Later, some gradual flexibility was introduced by allowing to purchase energy through forward contracts with shorter terms and including clauses with bands of variation in the levels of the spot prices. At maturity the spot price was accepted if it was within the agreed band. These ways o ...
Lecture 7: Quadratic Variation
Lecture 7: Quadratic Variation

... − N × Kvar N i=1 Si−1 N S0 where N is the notional amount of the swap, A is the annualization factor and Kvar is the strike price. Annualized variance may or may not be defined as mean-adjusted in practice so the corresponding drift term in the above payoff may or may not appear. From a theoretical ...
Derivatives - Karvy Fortune
Derivatives - Karvy Fortune

The energy market: From energy products to energy derivatives and
The energy market: From energy products to energy derivatives and

I 1
I 1

OPTION PRICING WHEN UNDERLYING STOCK
OPTION PRICING WHEN UNDERLYING STOCK

... Trading takes place continuously in time. Borrowing and short-selling are allowed without restriction and with full proceeds available. The borrowing and lending rates are equal. (2) The short-term interest rate is known and constant through time. (3) The stock pays no dividends or other distributio ...
Edgeworth Binomial Trees - University of California, Berkeley
Edgeworth Binomial Trees - University of California, Berkeley

... formula, although still useful as a device for translating option prices into implied volatilities, does not hold. For example, a symmetric risk-neutral Edgeworth density with kurtosis of 5.4 translates into a more or less symmetric smile pattern around-the-money, valuing options less than their Bla ...
06effectiveness
06effectiveness

... If the underlying is the price of corn, then the minimum value of an option on corn is either zero or the current spot price of corn minus the discounted risk-free present value of the strike price. In other words if the option cannot be exercised early, discount the present value of the strike pric ...
Greeks
Greeks

... Delta-neutral straddle implied volatility (ATMV): A straddle is a portfolio of a call & a put at the same strike. The strike here is set to make the portfolio delta-neutral ⇒ d1 = 0. 25-delta risk reversal: RR25 = IV (∆c = 25) − IV (∆p = 25). 25-delta butterfly spreads: BF25 = (IV (∆c = 25) + IV (∆p ...
Module 8 Strategies for a flat market – Australian Securities
Module 8 Strategies for a flat market – Australian Securities

... financial decisions. Although ASX Limited ABN 98 008 624 691 and its related bodies corporate (“ASX”) has made every effort to ensure the accuracy of the information as at the date of publication, ASX does not give any warranty or representation as to the accuracy, reliability or completeness of the ...
forward contract
forward contract

VPFF Risk Derivates
VPFF Risk Derivates

< 1 ... 6 7 8 9 10 11 12 13 14 ... 18 >

Moneyness

In finance, moneyness is the relative position of the current price (or future price) of an underlying asset (e.g., a stock) with respect to the strike price of a derivative, most commonly a call option or a put option. Moneyness is firstly a three-fold classification: if the derivative would make money if it were to expire today, it is said to be in the money, while if it would not make money it is said to be out of the money, and if the current price and strike price are equal, it is said to be at the money. There are two slightly different definitions, according to whether one uses the current price (spot) or future price (forward), specified as ""at the money spot"" or ""at the money forward"", etc.This rough classification can be quantified by various definitions to express the moneyness as a number, measuring how far the asset is in the money or out of the money with respect to the strike – or conversely how far a strike is in or out of the money with respect to the spot (or forward) price of the asset. This quantified notion of moneyness is most importantly used in defining the relative volatility surface: the implied volatility in terms of moneyness, rather than absolute price. The most basic of these measures is simple moneyness, which is the ratio of spot (or forward) to strike, or the reciprocal, depending on convention. A particularly important measure of moneyness is the likelihood that the derivative will expire in the money, in the risk-neutral measure. It can be measured in percentage probability of expiring in the money, which is the forward value of a binary call option with the given strike,and is equal to the auxiliary N(d2) term in the Black–Scholes formula. This can also be measured in standard deviations, measuring how far above or below the strike price the current price is, in terms of volatility; this quantity is given by d2. Another closely related measure of moneyness is the Delta of a call or put option, which is often used by traders but actually equals N(d1), not N(d2), and there are others, with convention depending on market.
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