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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 ...
To an option trader engaging in volatility arbitrage, an option contract is a way to speculate in the volatility of the underlying rather than a directional bet on the underlying's price. If a trader buys options as part of a delta-neutral portfolio, he is said to be long volatility. If he sells options, he is said to be short volatility. So ...
The objective is to minimize risk due to the movement of the underlier's price, while implementing whatever strategy led to the sale of the options in the first place. For instance, a seller of a call may hedge by buying just enough of the underlier to create a delta neutral portfolio. As time passes, the option seller adjusts his hedge ...
The resulting portfolio is delta neutral. One reason a trader may take this position would be to extend the holding period of the underlying position for capital gains tax purposes, while locking in the current price.
The resulting portfolio is delta neutral. For example, a 40-50 January 2010 box consists of: Long a January 2010 40-strike call; Short a January 2010 50-strike call; Long a January 2010 50-strike put; Short a January 2010 40-strike put; A box spread position has a constant payoff at exercise equal to the difference in strike values.
Equivalence of calls and puts: Parity implies that a call and a put can be used interchangeably in any delta-neutral portfolio. If is the call's delta, then buying a call, and selling shares of stock, is the same as selling a put at the same strike and selling shares of stock. Equivalence of calls and puts is very important when trading options.
Delta is the most important Greek since this usually confers the largest risk. Many traders will zero their delta at the end of the day if they are not speculating on the direction of the market and following a delta-neutral hedging approach as defined by Black–Scholes.
Under this scenario, the value of the option increases by $0.0614 to $1.9514, realizing a profit of $6.14. Note that for a delta neutral portfolio, whereby the trader had also sold 44 shares of XYZ stock as a hedge, the net loss under the same scenario would be ($15.86).