No-arbitrage pricing beyond semimartingales

نویسندگان

  • Christian Bender
  • Tommi Sottinen
  • Esko Valkeila
چکیده

We show how no-arbitrage pricing can be extended to some non-semimartingale models by restricting the class of admissible strategies. However, this restricted class is big enough to cover hedges for relevant options. Moreover, we show that the hedging prices depend essentially only on a path property of the stock price process, viz. on the quadratic variation. As a consequence, we can incorporate many stylized facts to a pricing model without changing the option prices.

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

Pricing by hedging and no-arbitrage beyond semimartingales

We show that pricing a big class of relevant options by hedging and noarbitrage can be extended beyond semimartingale models. To this end we construct a subclass of self-financing portfolios that contains hedges for these options, but does not contain arbitrage opportunities, even if the stock price process is a nonsemimartingale of some special type. Moreover, we show that the option prices de...

متن کامل

No Arbitrage without Semimartingales

We show that with suitable restrictions on allowable trading strategies, one has no arbitrage in settings where the traditional theory would admit arbitrage possibilities. In particular, price processes that are not semimartingales are possible in our setting, for example fractional Brownian motion.

متن کامل

The Emm Conditions in a General Model for Interest Rates

Abstract. Assuming that the forward rates f t are semimartingales, we give conditions on their components for the discounted bond prices to be martingales. To achieve this we give sufficient conditions for the integrated processes f̄ t = ∫ u 0 f t dv to be semimartingales and identify their various components. We recover the no-arbitrage conditions in well-known models in the literature, and fin...

متن کامل

Portfolio optimisation beyond semimartingales: shadow prices and fractional Brownian motion∗

While absence of arbitrage in frictionless financial markets requires price processes to be semimartingales, non-semimartingales can be used to model prices in an arbitrage-free way, if proportional transaction costs are taken into account. In this paper, we show, for a class of price processes which are not necessarily semimartingales, the existence of an optimal trading strategy for utility m...

متن کامل

Weak and strong no-arbitrage conditions for continuous financial markets

We propose a uni ed analysis of a whole spectrum of no-arbitrage conditions for nancial market models based on continuous semimartingales. In particular, we focus on no-arbitrage conditions weaker than the classical notions of No Arbitrage and No Free Lunch with Vanishing Risk. We provide a complete characterisation of all no-arbitrage conditions, linking their validity to the existence and to ...

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 2006