Indifference pricing of pure endowments in a regime-switching market model

In this paper, we study the exponential utility indifference pricing of pure endowment policies within a stochastic-factor model for an insurer who also invests in a financial market. Our framework incorporates a hazard rate modeled as an observable diffusion process, while the risky asset price fol

January 31, 2023 · 2 min · thequant.space

View fusion vis-à-vis a Bayesian interpretation of Black-Litterman for portfolio allocation

The Black-Litterman model extends the framework of the Markowitz Modern Portfolio Theory to incorporate investor views. We consider a case where multiple view estimates, including uncertainties, are given for the same underlying subset of assets at a point in time. This motivates our consideration o

January 31, 2023 · 2 min · thequant.space

Invoice discounting using kelly criterion by automated market makers-like implementations

There is a persistent lack of funding, especially for SMEs, that cyclically worsens. The factoring and invoice discounting market appears to address delays in paying commercial invoices: sellers bring still-to-be-paid invoices to financial organizations, intermediaries, typically banks that provide

January 30, 2023 · 2 min · thequant.space

Joint calibration to SPX and VIX options with signature-based models

We consider a stochastic volatility model where the dynamics of the volatility are described by a linear function of the (time extended) signature of a primary process which is supposed to be a polynomial diffusion. We obtain closed form expressions for the VIX squared, exploiting the fact that the

January 30, 2023 · 2 min · thequant.space

Machine Learning with High-Cardinality Categorical Features in Actuarial Applications

High-cardinality categorical features are pervasive in actuarial data (e.g. occupation in commercial property insurance). Standard categorical encoding methods like one-hot encoding are inadequate in these settings. In this work, we present a novel Generalised Linear Mixed Model Neural Network (“G

January 30, 2023 · 2 min · thequant.space

Quantum Boltzmann Machines: Applications in Quantitative Finance

In this thesis we explore using the D-Wave Advantage 4.1 quantum annealer to sample from quantum Boltzmann distributions and train quantum Boltzmann machines (QBMs). We focus on the real-world problem of using QBMs as generative models to produce synthetic foreign exchange market data and analyze ho

January 30, 2023 · 2 min · thequant.space

Validation of machine learning based scenario generators

Machine learning (ML) methods are becoming increasingly important in the design economic scenario generators for internal models. Validation of data-driven models differs from classical theory-based models. We discuss two novel aspects of such a validation: first, checking dependencies between risk

January 30, 2023 · 2 min · thequant.space

Wavelet Analysis for Time Series Financial Signals via Element Analysis

The method of element analysis is proposed here as an alternative to traditional wavelet-based approaches to analyzing perturbations in financial signals by scale. In this method, the processes that generate oscillations in financial signals are modelled as scaled, shifted, and isolated events that

January 30, 2023 · 2 min · thequant.space

Conditional generalized quantiles based on expected utility model and equivalent characterization of properties

As a counterpart to the (static) risk measures of generalized quantiles and motivated by Bellini et al. (2018), we propose a new kind of conditional risk measure called conditional generalized quantiles. We first show their well-definedness and they can be equivalently characterised by a conditional

January 29, 2023 · 1 min · thequant.space

Forex Trading Strategy That Might Be Executed Due to the Popularity of Gotobi Anomaly

Our previous research has confirmed that the USD/JPY rate tends to rise toward 9:55 every morning in the Gotobi days, which are divisible by five. This is called the Gotobi anomaly. In the present study, we verify the possible trading strategy and its validity under the condition that investors reco

January 29, 2023 · 2 min · thequant.space

Long-Term Modeling of Financial Machine Learning for Active Portfolio Management

In the practical business of asset management by investment trusts and the like, the general practice is to manage over the medium to long term owing to the burden of operations and increase in transaction costs with the increase in turnover ratio. However, when machine learning is used to construct

January 29, 2023 · 2 min · thequant.space

Unbiased estimators for the Heston model with stochastic interest rates

We combine the unbiased estimators in Rhee and Glynn (Operations Research: 63(5), 1026-1043, 2015) and the Heston model with stochastic interest rates. Specifically, we first develop a semi-exact log-Euler scheme for the Heston model with stochastic interest rates. Then, under mild assumptions, we s

January 28, 2023 · 2 min · thequant.space

Matching of Everyday Power Supply and Demand with Dynamic Pricing: Problem Formalisation and Conceptual Analysis

The energy transition is expected to significantly increase the share of renewable energy sources whose production is intermittent in the electricity mix. Apart from key benefits, this development has the major drawback of generating a mismatch between power supply and demand. The innovative dynamic

January 27, 2023 · 2 min · thequant.space

Customer Momentum

This paper examines customer momentum, defined as a positive relationship between a firm’s returns and past returns of its customers. I confirm previous evidence (Cohen and Frazzini 2008) that customer momentum is both statistically and economically significant. Long-short equally-weighted (value-we

January 26, 2023 · 2 min · thequant.space

Double free boundary problem for defaultable corporate bond with credit rating migration risks and their asymptotic behaviors

In this work, a pricing model for a defaultable corporate bond with credit rating migration risk is established. The model turns out to be a free boundary problem with two free boundaries. The latter are the level sets of the solution but of different kinds. One is from the discontinuous second orde

January 26, 2023 · 2 min · thequant.space

DSE Stock Price Prediction using Hidden Markov Model

Stock market forecasting is a classic problem that has been thoroughly investigated using machine learning and artificial neural network based tools and techniques. Interesting aspects of this problem include its time reliance as well as its volatility and other complex relationships. To combine the

January 26, 2023 · 2 min · thequant.space

Learnings From 1,000 Rejections

The Review of Finance aimed to significantly increase its standards over my 6 years as Managing Editor and 1 year as Editor. To comply with these new standards,

January 26, 2023 · 1 min · thequant.space

The Probability Conflation: A Reply

We respond to Tetlock et al. (2022) showing 1) how expert judgment fails to reflect tail risk, 2) the lack of compatibility between forecasting tournaments and tail risk assessment methods (such as extreme value theory). More importantly, we communicate a new result showing a greater gap between the

January 26, 2023 · 2 min · thequant.space

A Deep Neural Network Algorithm for Linear-Quadratic Portfolio Optimization with MGARCH and Small Transaction Costs

We analyze a fixed-point algorithm for reinforcement learning (RL) of optimal portfolio mean-variance preferences in the setting of multivariate generalized autoregressive conditional-heteroskedasticity (MGARCH) with a small penalty on trading. A numerical solution is obtained using a neural network

January 25, 2023 · 2 min · thequant.space

Aggregating heavy-tailed random vectors: from finite sums to Lévy processes

The tail behavior of aggregates of heavy-tailed random vectors is known to be determined by the so-called principle of “one large jump’’, be it for finite sums, random sums, or, Lévy processes. We establish that, in fact, a more general principle is at play. Assuming that the random vectors are mult

January 25, 2023 · 2 min · thequant.space