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  2. Margrabe's formula - Wikipedia

    en.wikipedia.org/wiki/Margrabe's_formula

    Suppose S 1 (t) and S 2 (t) are the prices of two risky assets at time t, and that each has a constant continuous dividend yield q i. The option, C, that we wish to price gives the buyer the right, but not the obligation, to exchange the second asset for the first at the time of maturity T. In other words, its payoff, C(T), is max(0, S 1 (T ...

  3. Finite difference methods for option pricing - Wikipedia

    en.wikipedia.org/wiki/Finite_difference_methods...

    The discrete difference equations may then be solved iteratively to calculate a price for the option. [4] The approach arises since the evolution of the option value can be modelled via a partial differential equation (PDE), as a function of (at least) time and price of underlying; see for example the Black–Scholes PDE. Once in this form, a ...

  4. Open interest - Wikipedia

    en.wikipedia.org/wiki/Open_interest

    An increase in open interest along with an increase in price is said by proponents of technical analysis [4] to confirm an upward trend. Similarly, an increase in open interest along with a decrease in price confirms a downward trend. An increase or decrease in prices while open interest remains flat or declining may indicate a possible trend ...

  5. Bachelier model - Wikipedia

    en.wikipedia.org/wiki/Bachelier_model

    On April 8, 2020, the CME Group posted the note CME Clearing Plan to Address the Potential of a Negative Underlying in Certain Energy Options Contracts, [1] saying that after a threshold on price, it would change its standard energy options model from one based on Geometric Brownian Motion and the Black–Scholes model to the Bachelier model.

  6. Monte Carlo methods for option pricing - Wikipedia

    en.wikipedia.org/wiki/Monte_Carlo_methods_for...

    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 ...

  7. Trinomial tree - Wikipedia

    en.wikipedia.org/wiki/Trinomial_Tree

    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 ...

  8. Binomial options pricing model - Wikipedia

    en.wikipedia.org/wiki/Binomial_options_pricing_model

    The tree of prices is produced by working forward from valuation date to expiration. At each step, it is assumed that the underlying instrument will move up or down by a specific factor ( u {\displaystyle u} or d {\displaystyle d} ) per step of the tree (where, by definition, u ≥ 1 {\displaystyle u\geq 1} and 0 < d ≤ 1 {\displaystyle 0<d ...

  9. Real options valuation - Wikipedia

    en.wikipedia.org/wiki/Real_options_valuation

    Real options valuation, also often termed real options analysis, [1] (ROV or ROA) applies option valuation techniques to capital budgeting decisions. [2] A real option itself, is the right—but not the obligation—to undertake certain business initiatives, such as deferring, abandoning, expanding, staging, or contracting a capital investment project. [3]