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OPTIONS, GREEKS, AND RISK MANAGEMENT Jelena Paunović *
OPTIONS, GREEKS, AND RISK MANAGEMENT Jelena Paunović *

... Options are financial derivatives representing a contract which gives the right to the holder, but not the obligation, to buy or sell an underlying asset at a pre-defined strike price during a certain period of time. These derivative contracts can derive their value from almost any underlying asset ...
Puts and calls
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Options and Risk Measurement

... obligation to sell 100 shares of the stock at a stated exercise price on or before a stated expiration date.  The price of the option is not the exercise price. ...
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Lecture 6 - IEI: Linköping University
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... • To lock in an arbitrage profit (forwards) • To change the nature of a liability • To change the nature of an investment without incurring the costs of selling one portfolio and buying another ...
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FROM NAVIER-STOKES TO BLACK-SCHOLES

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Binomial lattice model for stock prices

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... – If the ATM buy write closes below the strike, sell the next ATM strike – If the underlying drops a lot, go farther out in time as close to the entry position as possible. – A 1 x 2 call spread is a possibility too – I give myself 5% of the value of the underlying below the strike as a stop to kill ...
a sample iron condor trading plan here
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The Black-Scholes-Merton Approach to Pricing Options
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... Thus, if we invest w1 = Delta units in the stock and w2 = W − Delta ∗ s in the bond, so the total value of the portfolio will change very little for small changes in the stock price. We remark that such a portfolio and hedge is useful for example when a bank sells a call option. The proceeds from se ...
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option to purchase right of pre-emption (first refusal)

Risk Management
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... The first column is the delivery month (201601 meaning January, 2016, etc.); the second column is a forward price for delivery at the Henry Hub; the third column is the forward price for delivery at the Chicago City Gate; the last column is a discount factor. Assume you can trade forwards for each o ...
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note on weighted average strike asian options
note on weighted average strike asian options

... normal variables is itself well approximated at least to a first order by the lognormal. He mentions that the valuation of average option becomes possible for typical range of volatility experienced. Turnbull and Wakeman[15] also recognize the suitability of the log normal as a first-order approximati ...
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... B4. Given that the house price futures are based on a UK-wide index/average, is the hedge from B3 likely to be perfect, i.e. to remove all risk? How can this be taken into account when hedging? ...
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... Company uses a money market hedge, it will receive _______ in 360 days. Compare the Money market Hedge to the Forward Hedge. 3. Assume that Jones Co. will need to purchase 100,000 Singapore dollars (S$) in 180 days. Today’s spot rate of the S$ is $.71, and the 180-day forward rate is $.715. A call o ...
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Option Pricing - Department of Mathematics, Indian Institute of Science
Option Pricing - Department of Mathematics, Indian Institute of Science

Lachov G
Lachov G

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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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