This paper studies the valuation of European contingent claims with short selling bans under the equal risk pricing (ERP) framework proposed in Guo and Zhu (2017) where analytical pricing formulae were derived in the case of monotonic payoffs under risk-neutral measures. We establish a unified framework for this new pr…
arXiv research
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New risk measures improve portfolio diversification and stability.
This study proposes an equal-weight portfolio strategy to reduce risk compared to traditional ETFs.
This paper improves financial derivative pricing by incorporating multiple hedging instruments.
In this paper, we consider the problem of equal risk pricing and hedging in which the fair price of an option is the price that exposes both sides of the contract to the same level of risk. Focusing for the first time on the context where risk is measured according to convex risk measures, we establish that the problem…
Deep RL solves dynamic risk pricing for complex financial models.
Diversified risk parity strategies outperform equally-weighted portfolios in various asset universes.
New measures generalize existing ones, linking information and risk.
New method uses non-translation invariant risk measures for fair financial derivative pricing.
A non-trivial predictor satisfies demographic parity and equalizes group risks in regression.
Investigates MAD-RP portfolios for asset allocation.
This article presents a deep reinforcement learning approach to price and hedge financial derivatives. This approach extends the work of Guo and Zhu (2017) who recently introduced the equal risk pricing framework, where the price of a contingent claim is determined by equating the optimally hedged residual risk exposur…
A new tail-shape index based on Value at Risk and Expected Shortfall.
Markowitz' celebrated optimal portfolio theory generally fails to deliver out-of-sample diversification. In this note, we propose a new portfolio construction strategy based on symmetry arguments only, leading to "Eigenrisk Parity" portfolios that achieve equal realized risk on all the principal components of the covar…
The conventional wisdom of mean-variance (MV) portfolio theory asserts that the nature of the relationship between risk and diversification is a decreasing asymptotic function, with the asymptote approximating the level of portfolio systematic risk or undiversifiable risk. This literature assumes that investors hold an…
Fairness in machine learning increases privacy risks, especially for underrepresented groups.
This study evaluates different portfolio designs for Indian stocks.
Paper introduces quasi-logconvex risk measures and their properties.
Decision makers increasingly rely on algorithmic risk scores to determine access to binary treatments including bail, loans, and medical interventions. In these settings, we reconcile two fairness criteria that were previously shown to be in conflict: calibration and error rate equality. In particular, we derive necess…
We give a complete characterization of both comonotone and not comonotone coherent risk measures in the discrete finite probability space, where each outcome is equally likely. To the best of our knowledge, this is the first work that characterizes \textit{and} distinguishes comonotone and not comonotone coherent risk …
A so called Zipf analysis portofolio management technique is introduced in order to comprehend the risk and returns. Two portofoios are built each from a well known financial index. The portofolio management is based on two approaches: one called the "equally weighted portofolio", the other the "confidence parametrized…
The paper optimizes risk-sharing in decentralized networks.
Study risk aggregation with order constraint under unknown dependence.
We derive the Black-Scholes-Merton dual equation, which has exactly the same form as the Black-Scholes-Merton equation. The novel and general equation works for options with a payoff of homogeneous of degree one, including European, American, Bermudan, Asian, barrier, lookback, etc., and leads to new insights into pric…
Paper proves existence and computation of Risk Budgeting portfolios.
Bayesian interpretation explains double descent in deep learning models.
The balance property is crucial for insurance pricing, ensuring total actuarial price equals loss. Maximum likelihood GLMs fulfill it, but Lindholm-Wüthrich suggests three methods, with constrained GLM being superior.
Once upon a time there was a classical financial world in which all the Libors were equal. Standard textbooks taught that simple relations held, such that, for example, a 6 months Libor Deposit was replicable with a 3 months Libor Deposits plus a 3x6 months Forward Rate Agreement (FRA), and that Libor was a good proxy …
Model estimates LIBOR rates and finds COVID-19 spread spike due to credit risk.
The paper analyzes insurance pricing and capital allocation in imperfect markets.
The risk premium of a policy is the sum of the pure premium and the risk loading. In the classification ratemaking process, generalized linear models are usually used to calculate pure premiums, and various premium principles are applied to derive the risk loadings. No matter which premium principle is used, some risk …
Paper uses DRL to optimize portfolios, balancing risk and return.
Bayesian approach to robust risk measures under model uncertainty.
This paper derives -- considering a Gaussian setting -- closed form solutions of the statistics that Adrian and Brunnermeier and Acharya et al. have suggested as measures of systemic risk to be attached to individual banks. The statistics equal the product of statistic specific Beta-coefficients with the mean corrected…
Improved iterative methods for risk parity portfolio weights.
This paper aims at developing a new method by which to build a data-driven portfolio featuring a target risk-return. We first present a comparative study of recurrent neural network models (RNNs), including a simple RNN, long short-term memory (LSTM), and gated recurrent unit (GRU) for selecting the best predictor to u…
Study optimizes investment strategies in volatile markets using machine learning and Bayesian techniques.
Signed network models reduce portfolio risk by considering negative edges in financial markets.
Study dual representations for quasiconvex systemic risk measures.
The paper explores how to fairly share longevity risk among participants of tontine schemes.
Foster and Hart proposed an operational measure of riskiness for discrete random variables. We show that their defining equation has no solution for many common continuous distributions including many uniform distributions, e.g. We show how to extend consistently the definition of riskiness to continuous random variabl…
We provide analytical results for a static portfolio optimization problem with two coherent risk measures. The use of two risk measures is motivated by joint decision-making for portfolio selection where the risk perception of the portfolio manager is of primary concern, hence, it appears in the objective function, and…
Proposes a new risk model using stable laws to manage company-wide losses.
This paper reviews the economic and theoretical foundations of insolvency risk measurement and capital adequacy rules. The proposed new measure of insolvency risk is constructed by disentangling assets, debt and equity at the micro-prudential firm level. This new risk index is the Firm Insolvency Risk Index (FIRI) whic…
New risk measures adjust for tail risk inadequacies.
We found that factors decay over time, with momentum fitting best.
A widely applied diversification paradigm is the naive diversification choice heuristic. It stipulates that an economic agent allocates equal decision weights to given choice alternatives independent of their individual characteristics. This article provides mathematically and economically sound choice theoretic founda…
Paper extends CoVaR for crypto markets, showing domino effects.