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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.
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
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 ...
The calendar call spread (see calendar spread) is a bullish strategy and consists of selling a call option with a shorter expiration against a purchased call option with an expiration further out in time. The calendar call spread is basically a leveraged version of the covered call (see above), but purchasing long call options instead of ...
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 discrete difference equations may then be solved iteratively to calculate a price for the option. [4]
The trinomial tree is a lattice-based computational model used in financial mathematics to price options. It was developed by Phelim Boyle in 1986. It is an extension of the binomial options pricing model, and is conceptually similar. It can also be shown that the approach is equivalent to the explicit finite difference method for option ...