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This paper studies the links between the descriptions of macroeconomic variables and statistical moments of market trade, price, and return. The randomness of market trade values and volumes during the averaging interval {\Delta} results in…

General Economics · Economics 2024-04-22 Victor Olkhov

Universal features in stock markets and their derivative markets are studied by means of probability distributions in internal rates of return on buy and sell transaction pairs. Unlike the stylized facts in log normalized returns, the…

Information Theory · Computer Science 2009-11-11 Lukas Pichl , Taisei Kaizoji , Takuya Yamano

In the present work we address the problem of evaluating the historical performance of a trading strategy or a certain portfolio of assets. Common indicators such as the Sharpe ratio and the risk adjusted return have significant drawbacks.…

Risk Management · Quantitative Finance 2011-02-10 M. Bartolozzi , C. Mellen

The classical discrete time model of proportional transaction costs relies on the assumption that a feasible portfolio process has solvent increments at each step. We extend this setting in two directions, allowing for convex transaction…

Mathematical Finance · Quantitative Finance 2021-01-15 Emmanuel Lepinette , Ilya Molchanov

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

A repurchase agreement lets investors borrow cash to buy securities. Financier only lends to securities' market value after a haircut and charges interest. Repo pricing is characterized with its puzzling dual pricing measures: repo haircut…

Pricing of Securities · Quantitative Finance 2020-07-07 Wujiang Lou

In practice daily volatility of portfolio returns is transformed to longer holding periods by multiplying by the square-root of time which assumes that returns are not serially correlated. Under this assumption this procedure of scaling can…

Risk Management · Quantitative Finance 2011-11-30 Nikolaus Rab , Richard Warnung

In the paper discrete time shadow price is constructed for the market with several assets with given bid and ask prices. Shadow price is the price such that the problem of optimal utility from terminal wealth on the market without…

Optimization and Control · Mathematics 2025-06-18 Tomasz Rogala , Łukasz Stettner

In this paper we extend the theory of option pricing to take into account and explain the empirical evidence for asset prices such as non-Gaussian returns, long-range dependence, volatility clustering, non-Gaussian copula dependence, as…

Mathematical Finance · Quantitative Finance 2017-11-28 Stoyan V. Stoyanov , Yong Shin Kim , Svetlozar T. Rachev , Frank J. Fabozzi

It is well known how to determine the price of perpetual American options if the underlying stock price is a time-homogeneous diffusion. In the present paper we consider the inverse problem, that is, given prices of perpetual American…

Probability · Mathematics 2012-11-12 Erik Ekström , David Hobson

We study the revenue performance of sequential posted price mechanisms and some natural extensions, for a general setting where the valuations of the buyers are drawn from a correlated distribution. Sequential posted price mechanisms are…

Computer Science and Game Theory · Computer Science 2015-10-02 Marek Adamczyk , Allan Borodin , Diodato Ferraioli , Bart de Keijzer , Stefano Leonardi

Recurring auctions are ubiquitous for selling durable assets like artworks and homes, with follow-up auctions held for unsold items. We investigate such auctions theoretically and empirically. Theoretical analysis demonstrates that…

Theoretical Economics · Economics 2025-02-19 Shanglyu Deng , Qiyao Zhou

Aggregated curves are common structures in economics and finance, and the most prominent examples are supply and demand curves. In this study, we exploit the fact that all aggregated curves have an intrinsic hierarchical structure, and thus…

Applications · Statistics 2023-06-12 Paul Ghelasi , Florian Ziel

We consider a model in which a trader aims to maximize expected risk-adjusted profit while trading a single security. In our model, each price change is a linear combination of observed factors, impact resulting from the trader's current…

Trading and Market Microstructure · Quantitative Finance 2012-07-30 Beomsoo Park , Benjamin Van Roy

Value adjustment of uncollateralized trades is determined within a risk-neutral pricing framework. When hedging such trades, investors cannot freely trade protection on their own name, thus facing an incomplete market. This fact is…

Pricing of Securities · Quantitative Finance 2014-09-23 Lorenzo Cornalba

Pricing decisions of companies require an understanding of the causal effect of a price change on the demand. When real-life pricing experiments are infeasible, data-driven decision-making must be based on alternative data sources such as…

Applications · Statistics 2024-07-03 Lauri Valkonen , Santtu Tikka , Jouni Helske , Juha Karvanen

We present a time-dependent Langevin description of dynamics of stock prices. Based on a simple sliding-window algorithm, the fluctuation of stock prices is discussed in the view of a time-dependent linear restoring force which is the…

Physics and Society · Physics 2008-12-02 Zi-Gang Huang , Yong Chen , Yong Zhang , Ying-Hai Wang

In this paper, we describe two approaches to model the behavior of stock prices. The first approach considers the underlying probability distribution of day-to-day price differences. The second approach models the movement of the price as a…

Applications · Statistics 2022-08-08 Khalid Aram

We develop a tractable model of realization utility that studies the role of reference-dependent S-shaped preferences in a dynamic investment setting with reinvestment. Our model generates both voluntarily realized gains and losses. It…

General Finance · Quantitative Finance 2014-08-14 Jonathan E. Ingersoll , Lawrence J. Jin

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

Statistical Finance · Quantitative Finance 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst