Arbitrage Models and Mortgage Options Pricing

Pricing, No-arbitrage Bounds and Robust Hedging of Installment Options

An installment option is a European option in which the premium, instead of being paid up-front, is paid in a series of installments. If all installments are paid the holder receives the exercise value, but the holder has the right to terminate payments on any payment date, in which case the option lapses with no further payments on either side. We discuss pricing and risk management for these ...

Arbitrage and universal pricing

This paper considers two methods for pricing assets and examines the relations between them. The +rst method is based on the principle of no-arbitrage, which asserts that introduction of the new asset should not create an arbitrage in a market that was before arbitrage free. This condition is satis+ed by prices for the new asset between speci+c lower and upper limits, determined as the values o...

The Amendment and Empirical Test of Arbitrage Pricing Models

The classical APT model is of the form j j j j EI I r E r ε β + − = − ) ( ) ( , where ) ( j j r E r − is the earning deviation (called basic variance-profit) of the security I j, is a common factor. This paper considers the impact on the securities return caused by the skewness and kurtosis of the stock returns distributions, and poses a re-modified the arbitrage pricing model as follows j j j ...

The Arbitrage Pricing Theory and Multifactor Models of Asset Returns*

Option Pricing, Arbitrage and Martingales

This paper provides a short introduction into the mathematical foundations of the theory of valuing derivative securities. We discuss the mathematical setting of option price theory and derive the relationship between no-arbitrage and mar-tingales. We provide examples how this theory can be applied to equity and foreign-exchange derivatives. We also explain how the theory can be applied to inte...