[图书][B] Mathematical finance

E Eberlein, J Kallsen - 2019 - Springer
Ernst Eberlein Jan Kallsen Page 1 Springer Finance Ernst Eberlein Jan Kallsen Mathematical
Finance Page 2 Springer Finance Editorial Board Marco Avellaneda Giovanni Barone-Adesi …

Dynamic term structure models for SOFR futures

JB Skov, D Skovmand - Journal of Futures Markets, 2021 - Wiley Online Library
Abstract The London InterBank Offered Rate is scheduled for discontinuation, and the
replacement advocated by US regulators is the Secured Overnight Financing Rate (SOFR) …

Term structure modelling for multiple curves with stochastic discontinuities

C Fontana, Z Grbac, S Gümbel, T Schmidt - Finance and Stochastics, 2020 - Springer
We develop a general term structure framework taking stochastic discontinuities explicitly
into account. Stochastic discontinuities are a key feature in interest rate markets, as for …

Ramsey rule with forward/backward utility for long-term yield curves modeling

N El Karoui, C Hillairet, M Mrad - Decisions in Economics and Finance, 2022 - Springer
This paper draws a parallel between the economic and financial points of view in the
modeling of long-term yield curves and provides new results on asymptotic long rates. The …

Affine multiple yield curve models

C Cuchiero, C Fontana, A Gnoatto - Mathematical Finance, 2019 - Wiley Online Library
We provide a general and tractable framework under which all multiple yield curve modeling
approaches based on affine processes, be it short rate, Libor market, or Heath–Jarrow …

A consistent stochastic model of the term structure of interest rates for multiple tenors

M Alfeus, M Grasselli, E Schlögl - Journal of Economic Dynamics and …, 2020 - Elsevier
Starting from the observation that single-currency swap basis spreads contradict classical
arbitrage arguments, we construct a framework where this basis arises due to the presence …

The role of the dependence between mortality and interest rates when pricing Guaranteed Annuity Options

G Deelstra, M Grasselli, C Van Weverberg - Insurance: Mathematics and …, 2016 - Elsevier
In this paper we investigate the consequences on the pricing of insurance contingent claims
when we relax the typical independence assumption made in the actuarial literature …

Multiple curve Lévy forward price model allowing for negative interest rates

E Eberlein, C Gerhart, Z Grbac - Mathematical Finance, 2020 - Wiley Online Library
In this paper, we develop a framework for discretely compounding interest rates that is
based on the forward price process approach. This approach has a number of advantages …

The geometry of multi-curve interest rate models

C Fontana, G Lanaro, A Murgoci - Quantitative Finance, 2024 - Taylor & Francis
We study the problems of consistency and the existence of finite-dimensional realizations for
multi-curve interest rate models of Heath–Jarrow–Morton type, generalizing the geometric …

Consistent valuation across curves using pricing kernels

A Macrina, O Mahomed - Risks, 2018 - mdpi.com
The general problem of asset pricing when the discount rate differs from the rate at which an
asset's cash flows accrue is considered. A pricing kernel framework is used to model an …