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Arbitrage pricing theory. In finance, arbitrage pricing theory ( APT) is a multi-factor model for asset pricing which relates various macro-economic (systematic) risk variables to the pricing of financial assets. Proposed by economist Stephen Ross in 1976, [ 1] it is widely believed to be an improved alternative to its predecessor, the capital ...
The fundamental theorems of asset pricing (also: of arbitrage, of finance ), in both financial economics and mathematical finance, provide necessary and sufficient conditions for a market to be arbitrage-free, and for a market to be complete. An arbitrage opportunity is a way of making money with no initial investment without any possibility of ...
The binomial pricing model traces the evolution of the option's key underlying variables in discrete-time. This is done by means of a binomial lattice (Tree), for a number of time steps between the valuation and expiration dates. Each node in the lattice represents a possible price of the underlying at a given point in time.
Hull–White model. In financial mathematics, the Hull–White model is a model of future interest rates. In its most generic formulation, it belongs to the class of no-arbitrage models that are able to fit today's term structure of interest rates. It is relatively straightforward to translate the mathematical description of the evolution of ...
Security market line ( SML) is the representation of the capital asset pricing model. It displays the expected rate of return of an individual security as a function of systematic, non-diversifiable risk. The risk of an individual risky security reflects the volatility of the return from the security rather than the return of the market portfolio.
Arbitrage by both buyers and sellers can then operate: buyers from the expensive area can buy in the cheap area, and sellers in the cheap area can sell in the expensive area. Both scenarios result in a single, equal price per homogeneous good in all locations. [8] [additional citation(s) needed] For further discussion, see Rational pricing.
The concepts of arbitrage-free, "rational", pricing and equilibrium are then coupled [11] with the above to derive various of the "classical" [12] (or "neo-classical" [13]) financial economics models. Rational pricing is the assumption that asset prices (and hence asset pricing models) will reflect the arbitrage-free price of the asset, as any ...
In mathematical finance, the Black–Derman–Toy model ( BDT) is a popular short-rate model used in the pricing of bond options, swaptions and other interest rate derivatives; see Lattice model (finance) § Interest rate derivatives. It is a one-factor model; that is, a single stochastic factor—the short rate—determines the future ...