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A term structure model in which the short rate is zero is developed as a candidate for a theory of cryptocurrency interest rates. The price processes of crypto discount bonds are worked out, along with expressions for the instantaneous…

Mathematical Finance · Quantitative Finance 2019-12-18 Dorje C. Brody , Lane P. Hughston , Bernhard K. Meister

This paper studies the application of machine learning in extracting the market implied features from historical risk neutral corporate bond yields. We consider the example of a hypothetical illiquid fixed income market. After choosing a…

Mathematical Finance · Quantitative Finance 2018-06-06 Greg Kirczenow , Ali Fathi , Matt Davison

Cost-of-capital valuation is a well-established approach to the valuation of liabilities and is one of the cornerstones of current regulatory frameworks for the insurance industry. Standard cost-of-capital considerations typically rely on…

Risk Management · Quantitative Finance 2026-05-13 Hansjörg Albrecher , Filip Lindskog , Hervé Zumbach

We present an approach for pricing European call options in presence of proportional transaction costs, when the stock price follows a general exponential L\'{e}vy process. The model is a generalization of the celebrated work of Davis,…

Mathematical Finance · Quantitative Finance 2021-06-18 Nicola Cantarutti , João Guerra , Manuel Guerra , Maria do Rosário Grossinho

We model a nonlinear price curve quoted in a market as the utility indifference curve of a representative liquidity supplier. As the utility function we adopt a g-expectation. In contrast to the standard framework of financial engineering,…

Mathematical Finance · Quantitative Finance 2017-02-07 Masaaki Fukasawa , Mitja Stadje

As operators acting on the undetermined final settlement of a derivative security, expectation is linear but price is non-linear. When the market of underlying securities is incomplete, non-linearity emerges from the bid-offer around the…

Mathematical Finance · Quantitative Finance 2025-09-23 Paul McCloud

This paper studies the topic of cost-efficiency in incomplete markets. A payoff is called cost-efficient if it achieves a given probability distribution at some given investment horizon with a minimum initial budget. Extensive literature…

Portfolio Management · Quantitative Finance 2026-05-13 Carole Bernard , Stephan Sturm

After the beginning of the credit and liquidity crisis, financial institutions have been considering creating a convertible-bond type contract focusing on Capital. Under the terms of this contract, a bond is converted into equity if the…

Pricing of Securities · Quantitative Finance 2013-02-28 Damiano Brigo , João Garcia , Nicola Pede

We consider the Bachelier model with information delay where investment decisions can be based only on observations from $H>0$ time units before. Utility indifference prices are studied for vanilla options and we compute their non-trivial…

Mathematical Finance · Quantitative Finance 2021-03-05 Peter Bank , Yan Dolinsky

We introduce a Vasicek-type short rate model which has two additional parameters representing memory effect. This model presents better results in yield curve fitting than the classical Vasicek model. We derive closed-form expressions for…

Probability · Mathematics 2015-08-04 Akihiko Inoue , Shingo Moriuchi , Yusuke Nakamura

The main purpose of this work is to derive a partial differential equation for the reserves of life insurance liabilities subject to stochastic interest rates where the benefits and premiums depend directly on changes in the interest rate…

Risk Management · Quantitative Finance 2021-01-01 David R. Baños

We present a new approach for the pricing of interest rate derivatives which allows a direct computation of option premiums without deriving a (Black-Scholes type) partial differential equation and without explicitly solving the stochastic…

Statistical Mechanics · Physics 2008-12-02 Matthias Otto

I develop a tractable adverse-selection model comparing secured bank loans and bonds when both pledge collateral but differ in effective liquidation efficiency. A small wedge in recovery rates generates coexistence, a sharp bank-bond…

Theoretical Economics · Economics 2025-12-01 Georgy Lukyanov

A new framework for asset price dynamics is introduced in which the concept of noisy information about future cash flows is used to derive the price processes. In this framework an asset is defined by its cash-flow structure. Each cash flow…

Pricing of Securities · Quantitative Finance 2013-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

We present an arbitrage-free non-parametric yield curve prediction model which takes the full (discretized) yield curve as state variable. We believe that absence of arbitrage is an important model feature in case of highly correlated data,…

Pricing of Securities · Quantitative Finance 2012-03-12 Josef Teichmann , Mario V. Wüthrich

We develop from basic economic principles a continuous-time model for a large investor who trades with a finite number of market makers at their utility indifference prices. In this model, the market makers compete with their quotes for the…

Trading and Market Microstructure · Quantitative Finance 2015-09-10 Peter Bank , Dmitry Kramkov

Based on empirical market data, a stochastic volatility model is proposed with volatility driven by fractional noise. The model is used to obtain a risk-neutrality option pricing formula and an option pricing equation.

Other Condensed Matter · Physics 2008-12-02 Rui Vilela Mendes , Maria Joao Oliveira

This paper examines how risk and budget limits on investment mandates affect the bidding strategy in a uniform-price auction for issuing corporate bonds. I prove the existence of symmetric Bayesian Nash equilibrium and explore how the risk…

General Economics · Economics 2023-06-13 Labrini Zarpala

In this paper, we study the pricing of contracts in fixed income markets under volatility uncertainty in the sense of Knightian uncertainty or model uncertainty. The starting point is an arbitrage-free bond market under volatility…

Pricing of Securities · Quantitative Finance 2021-11-09 Julian Hölzermann

In a discrete-time financial market model with instantaneous price impact, we find an asymptotically optimal strategy for an investor maximizing her expected wealth. The asset price is assumed to follow a process with negative memory. We…

Probability · Mathematics 2021-04-27 Miklós Rásonyi , Lóránt Nagy