Arbitrage, Martingales and Private Monetary Value

نویسندگان

  • Robert A. Jarrow
  • Dilip B. Madan
چکیده

This paper reevaluates the mathematical and economic meaning of no arbitrage in frictionless markets. Contrary to the traditional view, no arbitrage is not generally equivalent to the existence of an equivalent martingale measure. Departures from this equivalence allow asset prices to contain a monetary component. The refined view is that no arbitrage and no private monetary value components are equivalent to the existence of an equivalent martingale measure. The implications of prices having a monetary value component for option pricing are discussed.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Intertemporal Asset Pricing Theory

2 Basic Theory 4 2.1 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Arbitrage, State Prices, and Martingales . . . . . . . . . . . . 5 2.3 Individual Agent Optimality . . . . . . . . . . . . . . . . . . . 8 2.4 Habit and Recursive Utilities . . . . . . . . . . . . . . . . . . . 9 2.5 Equilibrium and Pareto Optimality . . . . . . . . . . . . . . . 12 2.6 Equilibrium ...

متن کامل

No Arbitrage Conditions for Simple Trading Strategies Erhan Bayraktar and Hasanjan Sayit

Strict local martingales may admit arbitrage opportunities with respect to the class of simple trading strategies. (Since there is no possibility of using doubling strategies in this framework, the losses are not assumed to be bounded from below.) We show that for a class of non-negative strict local martingales, the strong Markov property implies the no arbitrage property with respect to the c...

متن کامل

Arbitrage Possibilities in Bessel Processes and Their Relations to Local Martingales

We show that if we allow general admissible integrands as trading strategies the three dimensional Bessel process Bes admits arbitrage possibilities This is in contrast with the fact that the inverse process is a local martingale and hence is arbitrage free This leads to some economic interpretation for the analysis of the property of arbitrage in foreign exchange rates This notion relative to ...

متن کامل

No Arbitrage Conditions For Simple Trading Strategies

Strict local martingales may admit arbitrage opportunities with respect to the class of simple trading strategies. (Since there is no possibility of using doubling strategies in this framework, the losses are not assumed to be bounded from below.) We show that for a class of non-negative strict local martingales, the strong Markov property implies the no arbitrage property with respect to the c...

متن کامل

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...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000