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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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6491,2971,9462,594 · Jun 202019922001200920182026
48 results for absolute market price of risk

Classifies financial markets up to financial indistinguishability.

problem Identifying distinct financial markets that are financially indistinguishable.
method Defined a notion of isomorphism for financial markets, classified complete one-period markets, and introduced the absolute market price of risk as an invariant.
result Proved a number of mutual fund theorems for markets with non-trivial automorphism groups.

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 with the corresponding myopic policy. In particular, we show that, for a market pri…

2015-02-10abs ↗pdf ↗

Study solves DREs for trading strategies using signals and past prices.

problem Solving DREs for optimal trading strategies.
method Analyzes DREs with indefinite matrix coefficients and applies to trading problems.
result Derives optimal trading strategies using signals and past prices.

We introduce a class of utility-based market makers that always accept orders at their risk-neutral prices. We derive necessary and sufficient conditions for such market makers to have bounded loss. We prove that hyperbolic absolute risk aversion utility market makers are equivalent to weighted pseudospherical scoring …

2012-06-20abs ↗pdf ↗

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which changes with the regime. The market model is incomplete and there are two risky asset…

2011-02-24abs ↗pdf ↗

The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and deterministic coefficients. It turns out that the indirect utility functions inherit the…

2008-05-05abs ↗pdf ↗

Study examines how COVID-19 affected stock and crypto market efficiency.

problem Impact of COVID-19 on market efficiency of different asset classes.
method Analysis of price returns, absolute returns, and volatility increments in stock and cryptocurrency markets.
result Market efficiency varied by asset class and market, with some time series showing gradual decline over time.

A new LSV model uses relative quantities for better trading and risk management.

problem Inability to use intuitive and stable parameters in LSV models.
method Develops a hybrid method using relative quantities for efficient derivative pricing and scenario generation.
result Shows improved stability and ease of use for model parameters.

The use of absolute return volatility has many modelling benefits says John Cotter. An illustration is given for the market risk measure, minimum capital requirements.

2011-03-30abs ↗pdf ↗

Study optimal portfolios for many players in a market model with random coefficients.

problem Optimal portfolio selection for many players under relative performance criteria in a market model with random coefficients.
method Game theory and stochastic optimal control, focusing on CARA and CRRA risk preferences, and extending to continuum of players.
result Existence of forward Nash equilibrium and mean field equilibrium for the n-agent game and corresponding mean field stochastic optimal control problem.

Study optimizes market making in Chinese stock market with stochastic control and scenario analysis.

problem Limited research on market making in Chinese stock market.
method Optimal market making framework with exponential CARA utility function, accounting for market conditions and risks.
result Impact of volatility and stamp duty on market maker's profit and liquidity.

The paper analyzes how knowing the market price of risk impacts optimal investment strategies.

problem Optimal allocation in financial markets with uncertain market price of risk.
method Solves optimal allocation problem in continuous time for CRRA utility investors in two scenarios: full and partial information.
result Investors are willing to pay for more accurate information on market price of risk, affecting optimal strategies.

Optimal liquidation strategy for a risk-averse investor in a one-sided limit order book driven by a Levy process.

problem Balancing market risk and execution cost for a large share liquidation.
method Modeling the price process as a Levy process and solving a singular two-dimensional optimisation problem.
result Explicit expression for the optimal intervention boundary.

Investors optimize equity and CDS trading to mitigate default risk.

problem Optimizing investment in equity and CDS markets to manage default risk.
method Semi-linear PDE for certainty equivalent, proving existence and optimality of policies.
result Optimal CDS policies cover both equity and future trading losses, increasing investor utility.

The paper extends the market price of risk for electricity swap contracts, incorporating jump risk.

problem Pricing electricity swap contracts with consideration of jump risk.
method Introducing a Merton type model with jumps and transferring to the physical measure, comparing arithmetic and geometric averaging.
result A decomposition of swap's market price of risk into classical and market price of risk components.

Introduces an asymmetric model for measuring market risk.

problem Existing models are symmetric and do not account for asymmetric risk.
method Develops an asymmetric capital asset pricing model that considers position-dependent market risk.
result Long positions in Apple stock have lower volatility than the market, contrary to the standard model.

This essay quantifies convexities in incomplete markets using entropy, adjusting prices for risk and incompleteness.

problem Quantifying convexities in incomplete markets and adjusting prices for risk and incompleteness.
method Using entropy, the essay quantifies convexities and adjusts prices for risk and incompleteness in incomplete markets.
result A new price principle derived from a log-martingale condition is introduced, matching risk aversion and adjusting for market incompleteness and default risk.

Model quantifies market price of trading liquidity risk and market depth.

problem Analyzing the market price of trading liquidity risk and market depth.
method Introduced a framework to analyze market price of liquidity risk, derived inhomogeneous Bernoulli ODE, obtained closed form solutions.
result Market depth encapsulates the market price of liquidity risk.

When investors have heterogeneous attitudes towards risk, it is reasonable to assume that each investor has a pricing kernel, and that these individual pricing kernels are aggregated to form a market pricing kernel. The various investors are then buyers or sellers depending on how their individual pricing kernels compa…

2013-01-14abs ↗pdf ↗

Predicting absolute magnitude of fluctuations of price, even if their sign remains unknown, is important for risk analysis and for option prices. In the present work, we display our predictions about absolute magnitude of daily fluctuations of the Dow Jones Industrials Average (DJIA), utilizing the original theory of c…

2006-02-08abs ↗pdf ↗

Study analyzes prediction market convergence and pricing mechanisms.

problem Understanding and optimizing prediction market performance and price formation.
method Introduces a multivariate utility (MU) based mechanism to unify market-making schemes and establish convergence results.
result The limiting price converges to the geometric mean of agent beliefs in exponential utility-based markets and to a weighted power mean in risk-measure-based markets.

We consider the optimal investment problem when the traded asset may default, causing a jump in its price. For an investor with constant absolute risk aversion, we compute indifference prices for defaultable bonds, as well as a price for dynamic protection against default. For the latter problem, our work complements S…

2017-02-28abs ↗pdf ↗

Neural networks for stock price prediction often misrepresent model performance due to flawed error metrics.

problem Flawed prediction error metrics lead to unreliable model evaluations in the securities market.
method Used data from 20 stock datasets across multiple markets and evaluated with four prediction error measures.
result Prediction error value only partially reflects model accuracy and fails to represent stock price direction.

Study financial contracts pricing in markets with nonproportional costs and constraints.

problem Financial contract pricing in markets with nonproportional transaction costs and portfolio constraints.
method Direct and dual characterization of market-consistent prices with acceptable risk thresholds.
result Extension of the Fundamental Theorem of Asset Pricing to include good deals and scalable good deals.

The NYSE and NASDAQ stock markets have very different structures and there is continuing controversy over whether differences in stock price behaviour are due to market structure or company characteristics. As the influence of market structure on stock prices may be obscured by exogenous factors such as demand and supp…

2005-08-28abs ↗pdf ↗

Model for hedging price and quantity risks in electricity markets.

problem Hedging risks for energy retailers in a regulated electricity market.
method Closed-form solution for optimal portfolio using financial instruments based on price and weather indexes.
result Closed-form solution for mean-var model in discrete setting without distributional assumptions.

This paper proposes a new framework for financial risk that considers predictability rather than volatility.

problem Volatility's limitations as a risk measure, especially in complex strategies and non-stationary markets.
method Developed a new paradigm based on stochastic processes and the Multifractional Process with Random Exponent (MPRE) framework.
result A formal definition of 'fair volatility' that aligns with market efficiency and provides a measure of market inefficiency.

Assuming that agents' preferences satisfy first-order stochastic dominance, we show how the Expected Utility paradigm can rationalize all optimal investment choices: the optimal investment strategy in any behavioral law-invariant (state-independent) setting corresponds to the optimum for an expected utility maximizer w…

2013-02-19abs ↗pdf ↗

This paper offers a framework for FX dealers to decide between internalizing and externalizing their market making to balance risk control and costs.

problem FX dealers face risk from flow uncertainty and need to decide on internalization vs. externalization strategies.
method Develops an optimal control framework that balances pricing and hedging strategies.
result Provides insights into the trade-off between risk control and transaction costs in market making.

Recurring international financial crises have adverse socioeconomic effects and demand novel regulatory instruments or strategies for risk management and market stabilization. However, the complex web of market interactions often impedes rational decisions that would absolutely minimize the risk. Here we show that, for…

2009-08-05abs ↗pdf ↗

We perform a large-scale simulation of an Ising-based financial market model that includes 300 asset time series. The financial system simulated by the model shows a fat-tailed return distribution and volatility clustering and exhibits unstable periods indicated by the volatility index measured as the average of absolu…

2018-01-18abs ↗pdf ↗

The paper studies risk-based prices in financial markets under volatility uncertainty.

problem Risk-based indifference prices in financial markets under volatility uncertainty.
method Asymptotic analysis of risk-based prices in discrete-time financial markets.
result Risk-based prices form a strongly continuous convex monotone semigroup.

Derives a new formula for measuring risk aversion in markets.

problem Measuring the degree of risk aversion in markets accurately.
method Closed-form expression based on three variables: Treasury yields, returns, and market capitalization.
result Investors exhibit Decreasing Absolute Risk Aversion (DARA) but the degree of Relative Risk Aversion (RRA) varies.

The paper assesses how equity tail risk impacts US Treasury bond returns.

problem The effects of equity tail risk on the US government bond market.
method Estimating equity tail risk using option-implied stock market volatility and assessing its predictive power in reduced-form regressions and a term structure model.
result Equity tail risk significantly predicts one-month excess returns on Treasuries.

The study reveals traders' risk aversion and a new risk premium from market volumes.

problem Understanding traders' rationality and risk aversion from market volumes.
method Optimal Merton dynamics model to estimate average risk aversion and price of risk.
result Validation of the proposed trading strategy model on real data.