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In this article we present a new approach to the numerical valuation of derivative securities. The method is based on our previous work where we formulated the theory of pricing in terms of tradables. The basic idea is to fit a finite…

Statistical Mechanics · Physics 2025-12-30 Jiri Hoogland , Dimitri Neumann

Stochastic dividend discount models (Hurley and Johnson, 1994 and 1998, Yao, 1997) present expressions for the expected value of stock prices when future dividends evolve according to some random scheme. In this paper we try to offer a more…

Pricing of Securities · Quantitative Finance 2013-11-04 Arianna Agosto , Enrico Moretto

Dividend discount models have been developed in a deterministic setting. Some authors (Hurley and Johnson, 1994 and 1998; Yao, 1997) have introduced randomness in terms of stochastic growth rates, delivering closed-form expressions for the…

Pricing of Securities · Quantitative Finance 2017-04-24 Arianna Agosto , Alessandra Mainini , Enrico Moretto

For the development of successful share trading strategies, forecasting the course of action of the stock market index is important. Effective prediction of closing stock prices could guarantee investors attractive benefits. Machine…

Statistical Finance · Quantitative Finance 2021-04-16 Nazish Ashfaq , Zubair Nawaz , Muhammad Ilyas

We present empirical evidence on the relationship between demand shocks and price changes, conditional on returns to scale. We find that in industries with decreasing returns to scale, demand increases (which raise costs) correspond to…

General Economics · Economics 2025-02-11 Joel Kariel , Anthony Savagar

Given a geometric Brownian motion wealth process, a log-Normal lower bound is constructed for the returns of a regular investing schedule. The distribution parameters of this bound are computed recursively. For dollar cost averaging (equal…

Mathematical Finance · Quantitative Finance 2023-03-21 Hayden Brown

The time dependence of the currency exchange rate K treated as a function of national dividend, investments and difference between total demand for a goods and supply is considered. To do this a proposed earlier general algorithm of…

General Physics · Physics 2007-05-23 L. Ya. Kobelev , O. L. Kobeleva , Ya. L. Kobelev

We study a discrete-time consumption-based capital asset pricing model under expectations-based reference-dependent preferences. More precisely, we consider an endowment economy populated by a representative agent who derives utility from…

Mathematical Finance · Quantitative Finance 2024-01-24 Luca De Gennaro Aquino , Xuedong He , Moris Simon Strub , Yuting Yang

This paper describes the dependence of market-based statistical moments of returns on statistical moments and correlations of the current and past trade values. We use Markowitz's definition of value weighted return of a portfolio as the…

General Economics · Economics 2026-02-17 Victor Olkhov

In this note we show how to replicate a stylized CDS with a repurchase agreement and an asset swap. The latter must be designed in such a way that, on default of the issuer, it is terminated with a zero close-out amount. This break clause…

Pricing of Securities · Quantitative Finance 2013-05-02 Lorenzo Giada , Claudio Nordio

New versions of the set-valued average value at risk for multivariate risks are introduced by generalizing the well-known certainty equivalent representation to the set-valued case. The first "regulator" version is independent from any…

Risk Management · Quantitative Finance 2014-05-22 Andreas H. Hamel , Birgit Rudloff , Mihaela Yankova

We explore a decomposition in which returns on a large class of portfolios relative to the market depend on a smooth non-negative drift and changes in the asset price distribution. This decomposition is obtained using general continuous…

Portfolio Management · Quantitative Finance 2018-10-31 Ricardo T. Fernholz , Caleb Stroup

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

Theoretical Economics · Economics 2020-08-26 Carey Caginalp , Gunduz Caginalp

We present a series of equations that track the total realized and unrealized profits and losses at any time, incorporating the spread. The resulting formalism is ideally suited to evaluate the performance of trading model algorithms.

Trading and Market Microstructure · Quantitative Finance 2024-11-22 James B. Glattfelder , Thomas Houweling

Prediction of stock prices plays a significant role in aiding the decision-making of investors. Considering its importance, a growing literature has emerged trying to forecast stock prices with improved accuracy. In this study, we introduce…

Statistical Finance · Quantitative Finance 2023-11-14 Md Sabbirul Haque , Md Shahedul Amin , Jonayet Miah , Duc Minh Cao , Ashiqul Haque Ahmed

We consider the problem of option hedging in a market with proportional transaction costs. Since super-replication is very costly in such markets, we replace perfect hedging with an expected loss constraint. Asymptotic analysis for small…

Portfolio Management · Quantitative Finance 2014-09-12 Bruno Bouchard , Ludovic Moreau , Mete H. Soner

The notion of a credit spread curve is fundamental in fixed income investing, but in practice it is not `given' and needs to be constructed from bond prices either for a particular issuer, or for a sector rating-by-rating. Rather than…

Pricing of Securities · Quantitative Finance 2024-04-09 Richard J. Martin

The purpose of this paper is to introduce a new growth adjusted price-earnings measure (GA-P/E) and assess its efficacy as measure of value and predictor of future stock returns. Taking inspiration from the interpretation of the traditional…

General Finance · Quantitative Finance 2020-01-24 Graham Baird , James Dodd , Lawrence Middleton

Spreadsheets often have variables and formulas that are similar, differing only by the fact that they refer to different instances of an entity. For example, the calculation of the sales revenues of the South and East regions are Revenues…

Software Engineering · Computer Science 2016-02-23 Paul Mireault

The general and special repo rates are related with the prices of the European call- and American put-options. The evaluation takes into account specific business models of the parties in the repo agreement and the law restrictions. Using…

Pricing of Securities · Quantitative Finance 2013-11-27 Andrei Kapaev