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In mathematical finance, Margrabe's formula [1] is an option pricing formula applicable to an option to exchange one risky asset for another risky asset at maturity. It was derived by William Margrabe (PhD Chicago) in 1978. Margrabe's paper has been cited by over 2000 subsequent articles.
Here the price of the option is its discounted expected value; see risk neutrality and rational pricing. The technique applied then, is (1) to generate a large number of possible, but random, price paths for the underlying (or underlyings) via simulation, and (2) to then calculate the associated exercise value (i.e. "payoff") of the option for ...
In finance, a debit spread, a.k.a. net debit spread, results when an investor simultaneously buys an option with a higher premium and sells an option with a lower premium. . The investor is said to be a net buyer and expects the premiums of the two options (the options spread) to wid
Finite difference methods were first applied to option pricing by Eduardo Schwartz in 1977. [2] [3]: 180 In general, finite difference methods are used to price options by approximating the (continuous-time) differential equation that describes how an option price evolves over time by a set of (discrete-time) difference equations.
The Bear Call Credit Spread (see bear spread) is a bearish strategy and consists of selling a call option and purchasing a call option for the same stock or index at differing strike prices for the same expiration. The purchased call option is entered at a strike price higher than the strike price of the sold call option.
In finance, a spread option is a type of option where the payoff is based on the difference in price between two underlying assets. For example, the two assets could be crude oil and heating oil; trading such an option might be of interest to oil refineries, whose profits are a function of the difference between these two prices.
at option maturity, value is based on moneyness for all nodes in that time-step; at earlier nodes, value is a function of the expected value of the option at the nodes in the later time step, discounted at the short-rate of the current node; where non-European value is the greater of this and the exercise value given the corresponding bond value.
All four options must be for the same underlying at the same strike price. For example, a position composed of options on futures is not a true jelly roll if the underlying futures have different expiry dates. [5] The jelly roll is a neutral position with no delta, gamma, theta, or vega. However, it is sensitive to interest rates and dividends ...