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This article is the term paper of the course Investments. We mainly focus on modeling long-term investment decisions of a typical utility-maximizing individual, with features of Chinese stock market in perspective. We adopt an OR based…

Portfolio Management · Quantitative Finance 2013-10-28 Yiran Sheng , Ruokun Huang

Permutation approach is suggested as a method to investigate financial time series in micro scales. The method is used to see how high frequency trading in recent years has affected the micro patterns which may be seen in financial time…

Statistical Finance · Quantitative Finance 2014-08-06 Cina Aghamohammadi , Mehran Ebrahimian , Hamed Tahmooresi

We propose a method for providing communication network infrastructure in autonomous multi-agent teams. In particular, we consider a set of communication agents that are placed alongside regular agents from the system in order to improve…

Optimization and Control · Mathematics 2023-09-26 Ignacio Boero , Igor Spasojevic , Mariana del Castillo , George Pappas , Vijay Kumar , Alejandro Ribeiro

Financial options are contracts that specify the right to buy or sell an underlying asset at a strike price by an expiration date. Standard exchanges offer options of predetermined strike values and trade options of different strikes…

Computer Science and Game Theory · Computer Science 2021-09-15 Xintong Wang , David M. Pennock , Nikhil R. Devanur , David M. Rothschild , Biaoshuai Tao , Michael P. Wellman

We consider an intermediary's problem of dynamically matching demand and supply of heterogeneous types in a periodic-review fashion. More specifically, there are two disjoint sets of demand and supply types, and a reward associated with…

Optimization and Control · Mathematics 2018-11-20 Ming Hu , Yun Zhou

A group of people wishes to use money to exchange goods efficiently over several time periods. However, there are disadvantages to using any of the goods as money, and in addition fiat money issued in the form of notes or coins will be…

Economics · Quantitative Finance 2023-09-12 J. V. Howard

We describe a light-weight yet performant system for hyper-parameter optimization that approximately minimizes an overall scalar cost function that is obtained by combining multiple performance objectives using a target-priority-limit…

We consider the problem of dynamic buying and selling of shares from a collection of $N$ stocks with random price fluctuations. To limit investment risk, we place an upper bound on the total number of shares kept at any time. Assuming that…

Portfolio Management · Quantitative Finance 2009-09-23 Michael J. Neely

We study American swaptions in the linear-rational (LR) term structure model introduced in [5]. The American swaption pricing problem boils down to an optimal stopping problem that is analytically tractable. It reduces to a free-boundary…

Pricing of Securities · Quantitative Finance 2018-02-27 Damir Filipovic , Yerkin Kitapbayev

We find the optimal investment strategy for an individual who seeks to minimize one of four objectives: (1) the probability that his wealth reaches a specified ruin level {\it before} death, (2) the probability that his wealth reaches that…

Optimization and Control · Mathematics 2008-12-10 Erhan Bayraktar

Pricing financial or real options with arbitrary payoffs in regime-switching models is an important problem in finance. Mathematically, it is to solve, under certain standard assumptions, a general form of optimal stopping problems in…

Mathematical Finance · Quantitative Finance 2018-09-11 Masahiko Egami , Rusudan Kevkhishvili

Abstract This paper proposes a novel approach to Bermudan swaption hedging by applying the deep hedging framework to address limitations of traditional arbitrage-free methods. Conventional methods assume ideal conditions, such as zero…

Computational Finance · Quantitative Finance 2024-11-18 Kenjiro Oya

We characterize the minimum-length sequences of independent lazy simple transpositions whose composition is a uniformly random permutation. For every reduced word of the reverse permutation there is exactly one valid way to assign…

Probability · Mathematics 2018-03-09 Omer Angel , Alexander E Holroyd

Cryptocurrencies such as Bitcoin and Ethereum have recently gained a lot of popularity, not only as a digital form of currency but also as an investment vehicle. Online marketplaces and exchanges allow users across the world to convert…

Discrete Mathematics · Computer Science 2018-07-17 Francesco Bortolussi , Zeger Hoogeboom , Frank W. Takes

Composing a team of professional players is among the most crucial decisions in association football. Nevertheless, transfer market decisions are often based on myopic objectives and are questionable from a financial point of view. This…

Optimization and Control · Mathematics 2020-10-06 Giovanni Pantuso , Lars Magnus Hvattum

We propose a general approximation method for determining optimal trading strategies in markets with proportional transaction costs, with a polynomial approximation of the residual value function. The method is exemplified by several…

Portfolio Management · Quantitative Finance 2024-07-11 Eberhard Mayerhofer

In this short note, we will show how to optimize the portfolio of a large trader whose hedging strategy affects the price of his assets.

Other Condensed Matter · Physics 2008-12-10 Pierre Henry-Labordere

This paper studies four trading algorithms of a professional trader at a multilateral trading facility, observing a realistic two-sided limit order book whose dynamics are driven by the order book events. The identity of the trader can be…

Trading and Market Microstructure · Quantitative Finance 2015-01-13 Qinghua Li

We determine the optimal investment strategy in a Black-Scholes financial market to minimize the so-called {\it probability of drawdown}, namely, the probability that the value of an investment portfolio reaches some fixed proportion of its…

Mathematical Finance · Quantitative Finance 2016-02-16 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

This paper proposes swaps on two important new measures of generalized variance, namely the maximum eigen-value and trace of the covariance matrix of the assets involved. We price these generalized variance swaps for financial markets with…

Mathematical Finance · Quantitative Finance 2019-08-13 Subhojit Biswas , Diganta Mukherjee