A new CIR# model preserves volatility and tractability for short-term interest rates.
problem Inadequacy of CIR model for negative short rates and skewed distributions.
method Developed CIR# model to fit term structure of short interest rates.
result Preserves volatility and analytical tractability of original CIR model.
Develops a model for cryptocurrency interest rates.
problem Modeling interest rates for cryptocurrencies.
method Term structure model with zero short rate, price processes of crypto bonds, and expressions for forward rates.
result Model can be calibrated to market data and uses strict local martingales for pricing kernels.
Developed unbiased estimators for Heston model with stochastic interest rates.
problem Estimating the Heston model with stochastic interest rates.
method Combined unbiased estimators with the Heston model and developed a semi-exact log-Euler scheme.
result Convergence rate of O(h) in the L2 norm for a wide range of models. Alternative method preserves positivity in interest rate interpolation.
problem Positivity issue in interest rate interpolation.
method Alternative method preserving Markovian properties and positivity.
result Guaranteed positivity of all interpolated rates.
Study proposes optimal risk-aware interest rates for crypto lending protocols.
problem Determining optimal interest rates for decentralized lending protocols to maximize profit and minimize risk.
method Agent-based model, Riccati-type ODEs for linear behaviors, Monte-Carlo estimator and deep learning for nonlinear behaviors.
result Calibrated model shows superior risk-adjusted performance compared to industry-standard interest rate models.
The paper explores bond pricing in short rate models using numerical and analytical methods.
problem Bond pricing in short rate convergence models of interest rates.
method Numerical and analytical methods for obtaining approximate solutions to partial differential equations.
result Approximations of bond prices in short rate convergence models.
Enhances valuation of variable annuities with stochastic interest rate models.
problem Valuation and optimal surrender strategies for variable annuities in Lévy models.
method Hybrid numerical method combining tree methods for interest rate modeling and finite difference techniques for asset price.
result Influence of stochastic interest rates on surrender decisions and contract design.
Study optimal dividends in dual risk model with stochastic interest rate.
problem Optimal dividend strategy in dual risk model with stochastic interest rate.
method Geometric Brownian motion or exponential Lévy process for discounting factor.
result Closed form solutions can be obtained for optimal dividends.
Analyzes compound interest with constant payments and interest rate.
problem Examines the properties of compound interest balance and payment functions.
method Analyzes the outstanding balance and payment functions for constant payments and interest rate.
result The outstanding balance function is not generally concave in the interest rate.
Paper proposes a new method for forecasting interest rates using Vasicek and CIR models.
problem Forecasting interest rates with Vasicek and CIR models.
method Rolling windows partitioning of data to capture time changes in volatility.
result The new approach outperforms traditional methods in low to negative interest rate environments.
We introduce a tractable multi-currency model with stochastic volatility and correlated stochastic interest rates that takes into account the smile in the FX market and the evolution of yield curves. The pricing of vanilla options on FX rates can be performed effciently through the FFT methodology thanks to the affinit…
Quantum computing speeds up interest rate derivative pricing using LMM.
problem Challenges in pricing interest rate derivatives, especially caps.
method Hybrid classical-quantum approach using quantum amplitude estimation.
result Quantum computing improves convergence in pricing interest rate derivatives.
Simple model prices swaptions in multicurve interest rates.
problem Pricing swaptions in multicurve interest rate models.
method Three-parameter multicurve extension of Hull-White model.
result Simple closed formula for swaption pricing.
The paper analyzes insurance risks using stochastic models.
problem Interest rate and variance risks in unit-linked insurance policies.
method General stochastic volatility models and stochastic interest rates are used to price unit-linked life insurance contracts.
result A perfect hedging strategy is provided and compared with the Black-Scholes model.
Derives relationship between interest rates and inflation in a two-component system.
problem Understanding the relationship between interest rates and inflation in a two-component economic system.
method Used the Fisher relation to derive a delay differential equation and provided computer simulations.
result Obtained a delay differential equation and provided solutions for it over different interest regimes.
Optimizes portfolios using anticipated interest rate information.
problem Maximizing utility in financial models with future interest rate trends.
method Enlargement of filtrations, affine diffusion process, Markov chain modeling.
result Explicit formulas for expected logarithmic utility.
This paper extends Heston's SV model to include stochastic interest rates.
problem Modeling options with stochastic interest rates.
method Developed a new SV model with stochastic interest rates and derived a semi-explicit formula.
result Derived a semi-explicit formula for option pricing with stochastic interest rates.
This paper modifies the Ait-Sahalia model to better describe interest rate behaviors.
problem Inadequate specifications of the original Ait-Sahalia model to explain various interest rate phenomena.
method Proposes a modified hybrid Poisson-jump Ait-Sahalia model and uses truncated EM techniques for numerical approximation.
result Validates the modified model using Monte Carlo simulations for bond and barrier option payoffs.
Paper discusses why and how negative interest rates occur.
problem Negative interest rates and their implications.
method Analyzes second-order differential dynamics to explain negative rates.
result Negative rates can influence interest rate variance and expectation.
The present study deals with the analysis and mapping of Swiss franc interest rates. Interest rates depend on time and maturity, defining term structure of the interest rate curves (IRC). In the present study IRC are considered in a two-dimensional feature space - time and maturity. Geostatistical models and machine le…
The currency carry trade is the investment strategy that involves selling low interest rate currencies in order to purchase higher interest rate currencies, thus profiting from the interest rate differentials. This is a well known financial puzzle to explain, since assuming foreign exchange risk is uninhibited and the …
The paper models stochastic interest rates for life insurance using phase-type distributions.
problem Modeling stochastic interest rates in life insurance with matrix approach.
method Integrates piecewise deterministic interest rates into a Markov jump process framework.
result Explicit formulas for reserves and future payments can be derived.
Modified BDT model includes zero rate jumps for crisis risk.
problem Quantify risk of future crises in bond prices and derivatives.
method Modified BDT tree model with zero rate jumps, modified algorithms.
result Calibrated tree models show different option prices and volatilities.
Develops a bi-variate stochastic framework to model mortality and interest rates with long-range dependence.
problem Captures long-range dependence and instantaneous correlation in mortality and interest rates.
method Mixed fractional Brownian motions, analytical solutions, risk-neutral measure, sequential parameter estimation.
result Explicit pricing of zero-coupon bonds and extreme mortality bonds, practical implications for pricing and risk management.
Derives equations for life insurance reserves with interest rate uncertainty.
problem Life insurance reserves with stochastic interest rates.
method Partial differential equations for reserves under stochastic interest rates.
result Explicit solutions for reserves under specific models.
We investigate LIBOR-based derivatives using a parsimonious field theory interest rate model capable of instilling imperfect correlation between different maturities. Delta and Gamma hedge parameters are derived for LIBOR Caps against fluctuations in underlying forward rates. An empirical illustration of our methodolog…
The study analyzes historical interest rates to predict future discount rates and their implications on climate change.
problem Predicting future discount rates to inform climate change mitigation policies.
method Constructed real interest rates using historical data and a stochastic model (Ornstein-Uhlenbeck).
result Only 4 out of 14 countries have positive long-run discount rates, suggesting urgent action on climate change.
Proposes a new model to handle negative interest rates using CIR framework.
problem Negative interest rates and their impact on financial markets.
method Develops a new model based on Cox-Ingersoll-Ross (CIR) framework without shifting market rates.
result The model accurately reproduces market term structures and swaption prices.
Negative interest rates stabilize economies, but physical cash limits their effectiveness.
problem Lack of effectiveness of negative interest rates in stabilizing economies.
method Simplified stock-flow consistent model, simulation evidence, discussion of alternative solutions.
result Negative interest rates can stabilize economies, but physical cash limits their effectiveness.
Develops a new model for interest rates allowing negative rates and superior calibration.
problem Current market environment with negative interest rates and poor calibration of existing models.
method Forward price process approach using time-inhomogeneous Lévy processes.
result The model allows for negative interest rates and superior calibration properties.
This paper analyzes the causal relationships among China's bond market interest rates.
problem Identifying the key interest rates with broad influence on China's bond market.
method Developed multi-variable Granger causality test to construct a directed network of interest rates.
result Short-term interest rates have larger influences on key interest rates, while repo rates are the benchmark.
The class of affine LIBOR models is appealing since it satisfies three central requirements of interest rate modeling. It is arbitrage-free, interest rates are nonnegative and caplet and swaption prices can be calculated analytically. In order to guarantee nonnegative interest rates affine LIBOR models are driven by no…
New model explains low interest rates and large bond market jumps.
problem Explaining recent observations in sovereign bond market.
method Introduces α-CIR model using α-stable Lévy process and branching property. result Unified and parsimonious model for low interest rates and large jumps.
A model for pricing dividends and interest rates.
problem Modeling the term structures of dividends and interest rates.
method Polynomial jump-diffusions and moment-based approximation for option pricing.
result A parsimonious model fits interest rate swaps, swaptions, and dividend futures and options.
Modeling interest rates for multiple tenors considering rollover risk.
problem Tackling the risk of borrowing at a shorter tenor and lending at a longer tenor.
method Constructing a stochastic model framework with endogenous frequency basis, incorporating credit and liquidity risks.
result The model can be calibrated to market data and used for pricing interest rate derivatives.
The paper studies multi-curve interest rate models and their consistency and finite-dimensional realizations.
problem Consistency and existence of finite-dimensional realizations for multi-curve interest rate models.
method Geometric approach, characterizing consistency and existence of finite-dimensional realizations for multi-curve models.
result Characterization of consistency and existence of finite-dimensional realizations for multi-curve models.
This paper examines interest rates and market efficiency in DeFi loanable funds protocols.
problem Equilibrium of supply and demand for loanable funds in DeFi protocols.
method Review of interest rate mechanisms in Compound, Aave, and dYdX; empirical analysis of market efficiency and inter-connectedness.
result Interest rate rules in DeFi protocols do not always equilibrate supply and demand.
Model for valuing inflation-linked interest rate derivatives.
problem Valuation of inflation-linked derivatives under stochastic interest rates.
method Stochastic model for inflation, interest rates; derivation of valuation equation; viscosity solutions; numerical scheme.
result The price of the contingent claim is the unique viscosity solution of the valuation equation.
Optimal insurance surplus management under stochastic interest rates and jumps.
problem Managing insurance surplus with stochastic interest rates and jump-driven liabilities.
method Stochastic control techniques and normalized surplus projection method.
result Optimal investment policy with myopic and hedging components.
The study proposes a new interest rate model that captures long-term periodicity in U.S. Treasury yields.
problem The conventional Hull-White model fails to adequately capture long-term economic cycles in interest rates.
method The study introduces a sinusoidal Hull-White model with a time-varying mean reversion speed.
result The proposed model improves bond pricing and interest rate derivative valuation, especially for longer maturities.
New model explains CDS price discrepancies in foreign and domestic economies.
problem Explaining discrepancies in Quanto CDS prices.
method Proposes a model with four stochastic factors and jumps-at-default, derives 4D PDEs, solves numerically.
result Qualitative explanation of CDS price discrepancies.
Defines a new short rate model and convexity adjustment formulae.
problem Interest rate convexity in a Gaussian framework.
method Defines a short rate model driven by a Gaussian Volterra process and derives convexity adjustment formulae.
result Explicit formulae for convexity adjustment derived.
Study pricing of American put options with stochastic interest rate and finite maturity.
problem Pricing American put options with stochastic interest rate and finite maturity.
method Applied stochastic calculus and Ito's lemma to derive the option value's formula and optimal exercise boundary.
result Existence and parametrisation of the optimal exercise boundary for the Vasicek model.
The article introduces a new interest rate model using Bergomi stochastic volatility.
problem Developing a model for interest rate swaps and swaptions without requiring calibration.
method Forward variance modeling by L. Bergomi applied to co-terminal swap market model.
result The model provides simple PnL formulas and high flexibility in controlling model dynamics.
Study on interest rate model with jumps, proving strong convergence in simulations.
problem Analytical solutions for complex interest rate models with jumps are difficult.
method Employed truncated Euler-Maruyama techniques to prove strong convergence.
result Justified strong convergence for Monte Carlo calibration and valuation.
Unified model for financial derivatives pricing with stochastic interest rates.
problem Pricing and hedging financial derivatives with stochastic interest rates.
method Volterra Stein-Stein model with correlated Gaussian Volterra processes.
result Explicit formulas for bond and cap/floor pricing, and characteristic function for log-forward index.
Model analyzes debt recycling strategies under various fiscal regimes and jurisdictions.
problem Understanding debt recycling dynamics and their impact on repayment times and equity growth.
method Developed a calibrated model incorporating mortgage interest rates, borrowing costs, and tax shields.
result Introducing positive interest rates without tax shields contracts success regions and lengthens repayment times, but tax shields partially reverse these effects.
Paper provides an explicit formula for local volatility in Cheyette models.
problem Approximating local volatility in Cheyette interest rate models.
method Extended Dupire framework, perturbation methods, probabilistic techniques.
result Explicit analytical formula for local volatility in Cheyette models.