The Elasticity of Quantitative Investment

What is the demand elasticity of statistical arbitrageurs that invest according to the advice of modern cross-sectional asset pricing models? Thirteen models from the literature exhibit strikingly inelastic demand, in contrast to classical models that rely on statistical arbitrageurs to create elast

March 25, 2023 · 1 min · thequant.space

A Multilevel Stochastic Approximation Algorithm for Value-at-Risk and Expected Shortfall Estimation

We propose a multilevel stochastic approximation (MLSA) scheme for the computation of the value-at-risk (VaR) and expected shortfall (ES) of a financial loss, which can only be computed via simulations conditionally on the realisation of future risk factors. Thus the problem of estimating its VaR an

March 24, 2023 · 2 min · thequant.space

Pitman's Theorem, Black-Scholes Equation, and Derivative Pricing for Fundraisers

We propose a financial market model that comprises a savings account and a stock. The stock price process is modeled as a one-dimensional diffusion, in which two types of agents exist: an ordinary investor and a fundraiser who buys or sells stocks as funding activities. Although the investor informa

March 24, 2023 · 2 min · thequant.space

State space decomposition and classification of term structure shapes in the two-factor Vasicek model

Using the concept of envelopes we show how to divide the state space $\RR^2$ of the two-factor Vasicek model into regions of identical term-structure shape. We develop a formula for determining the shapes utilizing winding numbers and give a nearly complete classification of the parameter space rega

March 24, 2023 · 1 min · thequant.space

Accurate solution of the Index Tracking problem with a hybrid simulated annealing algorithm

An actively managed portfolio almost never beats the market in the long term. Thus, many investors often resort to passively managed portfolios whose aim is to follow a certain financial index. The task of building such passive portfolios aiming also to minimize the transaction costs is called Index

March 23, 2023 · 2 min · thequant.space

Explaining Exchange Rate Forecasts with Macroeconomic Fundamentals Using Interpretive Machine Learning

The complexity and ambiguity of financial and economic systems, along with frequent changes in the economic environment, have made it difficult to make precise predictions that are supported by theory-consistent explanations. Interpreting the prediction models used for forecasting important macroeco

March 23, 2023 · 2 min · thequant.space

A Unified Framework for Fast Large-Scale Portfolio Optimization

We introduce a unified framework for rapid, large-scale portfolio optimization that incorporates both shrinkage and regularization techniques. This framework addresses multiple objectives, including minimum variance, mean-variance, and the maximum Sharpe ratio, and also adapts to various portfolio w

March 22, 2023 · 2 min · thequant.space

Forecasting Large Realized Covariance Matrices: The Benefits of Factor Models and Shrinkage

We propose a model to forecast large realized covariance matrices of returns, applying it to the constituents of the S&P 500 daily. To address the curse of dimensionality, we decompose the return covariance matrix using standard firm-level factors (e.g., size, value, and profitability) and use sect

March 22, 2023 · 2 min · thequant.space

Pricing Transition Risk with a Jump-Diffusion Credit Risk Model: Evidences from the CDS market

Transition risk can be defined as the business-risk related to the enactment of green policies, aimed at driving the society towards a sustainable and low-carbon economy. In particular, the value of certain firms’ assets can be lower because they need to transition to a less carbon-intensive busines

March 22, 2023 · 2 min · thequant.space

The Market Price of Jump Risk for Delivery Periods: Pricing of Electricity Swaps with Geometric Averaging

In this paper, we extend the market price of risk for delivery periods (MPDP) of electricity swap contracts by introducing a dimension for jump risk. As introduced by Kemper et al. (2022), the MPDP arises through the use of geometric averaging while pricing electricity swaps in a geometric framework

March 22, 2023 · 2 min · thequant.space

Portfolio Optimization with Relative Tail Risk

This paper proposes analytic forms of portfolio CoVaR and CoCVaR on the normal tempered stable market model. Since CoCVaR captures the relative risk of the portfolio with respect to a benchmark return, we apply it to the relative portfolio optimization. Moreover, we derive analytic forms for the mar

March 21, 2023 · 2 min · thequant.space

Style Miner: Find Significant and Stable Explanatory Factors in Time Series with Constrained Reinforcement Learning

In high-dimensional time-series analysis, it is essential to have a set of key factors (namely, the style factors) that explain the change of the observed variable. For example, volatility modeling in finance relies on a set of risk factors, and climate change studies in climatology rely on a set of

March 21, 2023 · 2 min · thequant.space

Financial Structure, Firm Size and Financial Growth of Non-Financial Firms Listed at the Nairobi Securities Exchange

A significant number of the non-financial firms listed at the Nairobi Securities Exchange have been experiencing declining financial performance and financial growth, which deter investors from investing in such firms. Hence, the study aimed at establishing the effect of financial structure on the f

March 20, 2023 · 1 min · thequant.space

Model-free Hedging of Impermanent Loss in Geometric Mean Market Makers

We consider Geometric Mean Market Makers – a special type of Decentralized Exchange – with two types of users: liquidity takers and arbitrageurs. Liquidity takers trade at prices that can create arbitrage opportunities, while arbitrageurs align the exchange’s price with the external market price.

March 20, 2023 · 2 min · thequant.space

Network log-ARCH models for forecasting stock market volatility

This paper presents a novel dynamic network autoregressive conditional heteroscedasticity (ARCH) model based on spatiotemporal ARCH models to forecast volatility in the US stock market. To improve the forecasting accuracy, the model integrates temporally lagged volatility information and information

March 20, 2023 · 2 min · thequant.space

On Robustness of Double Linear Policy with Time-Varying Weights

In this paper, we extend the existing double linear policy by incorporating time-varying weights instead of constant weights and study a certain robustness property, called robust positive expectation (RPE), in a discrete-time setting. We prove that the RPE property holds by employing a novel elemen

March 20, 2023 · 2 min · thequant.space

Venture Capital Portfolio Construction and the Main Factors Impacting the Optimal Strategy

The optimal portfolio size for a venture capital (VC) fund is a topic often debated, but there is no consensus on the best strategy. This is because it is a function of many factors. It is not easy to find a general formula that can be applied to all situations, and it largely depends on the goal of

March 20, 2023 · 2 min · thequant.space

High-Frequency Volatility Estimation with Fast Multiple Change Points Detection

We propose a method for constructing sparse high-frequency volatility estimators that are robust against change points in the spot volatility process. The estimators we propose are $\ell_1$-regularized versions of existing volatility estimators. We focus on power variation estimators as they represe

March 19, 2023 · 2 min · thequant.space

Exploring the Determinants of Capital Adequacy in Commercial Banks: A Study of Bangladesh's Banking Sector

This study investigates the factors that influence the capital adequacy of commercial banks in Bangladesh using panel data from 28 banks over the period of 2013-2019. Three analytical methods, including the Fixed Effect model, Random Effect model, and Pooled Ordinary Least Square (POLS) method, are

March 18, 2023 · 2 min · thequant.space

On the Benefit of Nonlinear Control for Robust Logarithmic Growth: Coin Flipping Games as a Demonstration Case

The takeoff point for this paper is the voluminous body of literature addressing recursive betting games with expected logarithmic growth of wealth being the performance criterion. Whereas almost all existing papers involve use of linear feedback, the use of nonlinear control is conspicuously absent

March 18, 2023 · 3 min · thequant.space