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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 ...
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.
As a result, under normal market conditions, the arbitrageur expects the combined position to be insensitive to small fluctuations in the price of the underlying stock. However, maintaining a market-neutral position may require rebalancing transactions, a process called dynamic delta hedging. This rebalancing adds to the return of convertible ...
An investment strategy or portfolio is considered market-neutral if it seeks to avoid some form of market risk entirely, typically by hedging. To evaluate market neutrality requires specifying the risk to avoid. For example, convertible arbitrage attempts to fully hedge fluctuations in the price of the underlying common stock.
For the special case of a European call or put option, Black and Scholes showed that "it is possible to create a hedged position, consisting of a long position in the stock and a short position in the option, whose value will not depend on the price of the stock". [18] Their dynamic hedging strategy led to a partial differential equation which ...