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An extensive empirical literature documents a generally negative correlation, named the "leverage effect," between asset returns and changes of volatility. It is more challenging to establish such a return-volatility relationship for jumps…

Statistics Theory · Mathematics 2017-12-11 Markus Bibinger , Christopher Neely , Lars Winkelmann

Building the future profit and loss (P&L) distribution of a portfolio holding, among other assets, highly non-linear and path-dependent derivatives is a challenging task. We provide a simple machinery where more and more assets could be…

Risk Management · Quantitative Finance 2020-08-28 Pietro Rossi , Flavio Cocco , Giacomo Bormetti

Crowding is widely regarded as one of the most important risk factors in designing portfolio strategies. In this paper, we analyze stock crowding using network analysis of fund holdings, which is used to compute crowding scores for stocks.…

Portfolio Management · Quantitative Finance 2023-06-16 Vadim Zlotnikov , Jiayu Liu , Igor Halperin , Fei He , Lisa Huang

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

Measuring beliefs about natural disasters is challenging. Deep out-of-the-money options allow investors to hedge at a range of strikes and time horizons, thus the 3-dimensional surface of firm-level option prices provides information on (i)…

General Economics · Economics 2022-08-16 Amine Ouazad

Recognizing that asset markets generally exhibit shared informational characteristics, we develop a portfolio strategy based on transfer learning that leverages cross-market information to enhance the investment performance in the market of…

Portfolio Management · Quantitative Finance 2025-11-27 Kexin Wang , Xiaomeng Zhang , Xinyu Zhang

The continuous observation of the financial markets has identified some stylized facts which challenge the conventional assumptions, promoting the born of new approaches. On the one hand, the long-range dependence has been faced replacing…

Mathematical Finance · Quantitative Finance 2019-06-12 Axel A. Araneda

Portfolio selection in the periodic investment of securities modeled by a multivariate Merton model with dependent jumps is considered. The optimization framework is designed to maximize expected terminal wealth when portfolio risk is…

Statistics Theory · Mathematics 2021-04-22 Bahareh Afhami , Mohsen Rezapour , Mohsen Madadi , Vahed Maroufy

Following a series of works on capital growth investment, we analyse log-optimal portfolios where the return evaluation includes `weights' of different outcomes. The results are twofold: (A) under certain conditions, the logarithmic growth…

Probability · Mathematics 2017-08-15 Mark Kelbert , Izabella Stuhl , Yuri Suhov

Barrier options are one of the most widely traded exotic options on stock exchanges. In this paper, we develop a new stochastic simulation method for pricing barrier options and estimating the corresponding execution probabilities. We show…

Pricing of Securities · Quantitative Finance 2018-03-29 Keegan Mendonca , Vasileios E. Kontosakos , Athanasios A. Pantelous , Konstantin M. Zuev

This paper studies the continuous time mean-variance portfolio selection problem with one kind of non-linear wealth dynamics. To deal the expectation constraint, an auxiliary stochastic control problem is firstly solved by two new…

Mathematical Finance · Quantitative Finance 2022-11-03 Shaolin Ji , Hanqing Jin , Xiaomin Shi

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

Portfolio Management · Quantitative Finance 2021-11-05 Michael Pinelis , David Ruppert

Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

Econometrics · Economics 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

We introduce new mathematical methods to study the optimal portfolio size of investment portfolios over time, considering investors with varying skill levels. First, we explore the benefit of portfolio diversification on an annual basis for…

Portfolio Management · Quantitative Finance 2024-02-26 Nick James , Max Menzies

In this article, we consider the problem of a bank's loan portfolio in the context of liquidity risk, while allowing for the limited liability protection enjoyed by the bank. Accordingly, we construct a novel loan portfolio model with…

Risk Management · Quantitative Finance 2023-08-15 Deb Narayan Barik , Siddhartha P. Chakrabarty

Recently the interest of researchers has shifted from the analysis of synchronous relationships of financial instruments to the analysis of more meaningful asynchronous relationships. Both of those analyses are concentrated only on…

Statistical Finance · Quantitative Finance 2014-06-18 Paweł Fiedor

We construct continuous-time equilibrium models based on a finite number of exponential utility investors. The investors' income rates as well as the stock's dividend rate are governed by discontinuous Levy processes. Our main result…

Mathematical Finance · Quantitative Finance 2015-07-14 Kasper Larsen , Tanawit Sae Sue

The role of portfolio construction in the implementation of equity market neutral factors is often underestimated. Taking the classical momentum strategy as an example, we show that one can significantly improve the main strategy's features…

Portfolio Management · Quantitative Finance 2018-10-22 Stefano Ciliberti , Stanislao Gualdi

We maximize the expected utility from terminal wealth for an HARA investor when the market price of risk is an unobservable random variable. We compute the optimal portfolio explicitly and explore the effects of learning by comparing it…

Portfolio Management · Quantitative Finance 2015-02-11 Michele Longo , Alessandra Mainini

We derive the arbitrage gains or, equivalently, Loss Versus Rebalancing (LVR) for arbitrage between \textit{two imperfectly liquid} markets, extending prior work that assumes the existence of an infinitely liquid reference market. Our…

Mathematical Finance · Quantitative Finance 2025-12-03 Christoph Schlegel , Quintus Kilbourn