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A related term, delta hedging, is the process of setting or keeping a portfolio as close to delta-neutral as possible. In practice, maintaining a zero delta is very complex because there are risks associated with re-hedging on large movements in the underlying stock's price, and research indicates portfolios tend to have lower cash flows if re ...
The Greeks are vital tools in risk management.Each Greek measures the sensitivity of the value of a portfolio to a small change in a given underlying parameter, so that component risks may be treated in isolation, and the portfolio rebalanced accordingly to achieve a desired exposure; see for example delta hedging.
Haug, E. G (2007). "Option Pricing and Hedging from Theory to Practice". Derivatives: Models on Models. Wiley. ISBN 978-0-470-01322-9. The book gives a series of historical references supporting the theory that option traders use much more robust hedging and pricing principles than the Black, Scholes and Merton model. Triana, Pablo (2009).
A delta one product is a derivative with a linear, symmetric payoff profile. That is, a derivative that is not an option or a product with embedded options. Examples of delta one products are Exchange-traded funds, equity swaps, custom baskets, linear certificates, futures, forwards, exchange-traded notes, trackers, and Forward rate agreements.
Over the holding period, the trader will realize a profit on the trade if the underlying's realized volatility is closer to his forecast than it is to the market's forecast (i.e. the implied volatility). The profit is extracted from the trade through the continuous re-hedging required to keep the portfolio delta-neutral.
Modern Derivatives Pricing and Credit Exposure Analysis: Theory and Practice of CSA and XVA Pricing, Exposure Simulation and Backtesting. Palgrave Macmillan. ISBN 978-1137494832. Dongsheng Lu (2015). The XVA of Financial Derivatives: CVA, DVA and FVA Explained. Palgrave Macmillan. ISBN 978-1137435835. Ignacio Ruiz (2015).
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In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options.Essentially, the model uses a "discrete-time" (lattice based) model of the varying price over time of the underlying financial instrument, addressing cases where the closed-form Black–Scholes formula is wanting, which in general does not exist for the BOPM.