No-Arbitrage Pricing for Dividend-Paying Securities in Discrete-Time Markets with Transaction Costs

نویسندگان

  • Tomasz R. Bielecki
  • Igor Cialenco
  • Rodrigo Rodriguez
چکیده

We prove a version of First Fundamental Theorem of Asset Pricing under transaction costs for discrete-time markets with dividend-paying securities. Specifically, we show that the no-arbitrage condition under the efficient friction assumption is equivalent to the existence of a risk-neutral measure. We derive dual representations for the superhedging ask and subhedging bid price processes of a contingent claim. Our results are illustrated with a vanilla credit default swap contract.

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

A note on transaction costs and the existence of derivatives markets

This note connects the idea of arbitrage pricing under transaction costs to the existence and structure of derivatives markets. It illustrates the “paradox” of pure arbitrage pricing via replicating portfolios and the existence of markets for redundant securities in a general multi-period model as in Duffie (1996). A general result under homogeneous transaction costs regarding the choice betwee...

متن کامل

Dynamic Conic Finance via Backward Stochastic Difference Equations

We present an arbitrage free theoretical framework for modeling bid and ask prices of dividend paying securities in a discrete time setup using theory of dynamic acceptability indices. In the first part of the paper we develop the theory of dynamic subscale invariant performance measures, on a general probability space, and discrete time setup. We prove a representation theorem of such measures...

متن کامل

The Fundamental Theorem of Asset Pricing with either Frictionless or Frictional Security Markets

This paper studies asset pricing in arbitrage-free financial markets in general state space (both for frictionless market and for market with transaction cost). The mathematical formulation is based on a locally convex topological space for weakly arbitrage-free securities’ structure and a separable Banach space for strictly arbitragefree securities’ structure. We establish, for these two types...

متن کامل

Super-Hedging and Arbitrage Pricing in Markets with Transaction Costs and Trading Constraints

The arbitrage pricing principle has been used to derive price relations like the Black-Scholes formula and Heath-Jarrow-Morton models in the context of frictionless markets and unconstrained trading. These relations may or may not be good approximations to reality. Even if, they are certainly not enforced by real world arbitrage because of transaction costs and trading constraints. Recently, re...

متن کامل

Consistent price systems under model uncertainty

We develop a version of the fundamental theorem of asset pricing for discrete-time markets with proportional transaction costs and model uncertainty. A robust notion of no-arbitrage of the second kind is defined and shown to be equivalent to the existence of a collection of strictly consistent price systems.

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 2013