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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 ...
In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options.Essentially, the model uses a "discrete-time" (lattice based) model of the varying price over time of the underlying financial instrument, addressing cases where the closed-form Black–Scholes formula is wanting, which in general does not exist for the BOPM [1].
Nonlinear Pricing Schedule - Nonlinear pricing is a pricing schedule in which quantity and total price are not mapped to each other in a strictly linear fashion [2] Affine Pricing - An affine pricing schedule consists of both a fixed cost and a cost per unit. Using the same notation as above, T(q) = k + pq, where k is a constant cost. [3]
In quantitative finance, a lattice model [1] is a numerical approach to the valuation of derivatives in situations requiring a discrete time model. For dividend paying equity options , a typical application would correspond to the pricing of an American-style option , where a decision to exercise is allowed at the closing of any calendar day up ...
The first application to option pricing was by Phelim Boyle in 1977 (for European options). In 1996, M. Broadie and P. Glasserman showed how to price Asian options by Monte Carlo. An important development was the introduction in 1996 by Carriere of Monte Carlo methods for options with early exercise features.
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 finite difference model can be derived, and the valuation obtained. [2]
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Cost-plus pricing is a pricing strategy by which the selling price of a product is determined by adding a specific fixed percentage (a "markup") to the product's unit cost. Essentially, the markup percentage is a method of generating a particular desired rate of return. [1] [2] An alternative pricing method is value-based pricing. [3]