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The Hull-White model

Calibration Methods of Hull-White Model

Calibration Methods of Hull-White Model

... factor Hull-White model with con- stant or time-dependent mean reversion and volatility parameters to the interest rate ...the model parameters and propose parametric forms for the mean ...

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Calibration Methods of Hull-White Model

Calibration Methods of Hull-White Model

... factor Hull-White model with con- stant or time-dependent mean reversion and volatility parameters to the interest rate ...the model parameters and propose parametric forms for the mean ...

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Heston–Hull–White Model Part I

Heston–Hull–White Model Part I

... Heston–HullWhite model we have to consider the pricing of liquid options to be used to deduce the model parameters from market prices, the pricing of exotic path dependent structures and ...

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Multiple-Curve Valuation with One-Factor Hull-White Model

Multiple-Curve Valuation with One-Factor Hull-White Model

... market model to the multiple-curve valuation framework, ...one-factor Hull-White model is an interest rate term structure model that is still popular in the market today because it is ...

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The Heston–Hull–White Model Part II: Numerics and Examples

The Heston–Hull–White Model Part II: Numerics and Examples

... Heston-Hull-White model. The aim of this series is to show the full life cycle of model development and ...infer model parameters from market ...estimate model param- ...

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The Heston–Hull–White Model Part III: Design and Implementation

The Heston–Hull–White Model Part III: Design and Implementation

... The outline is as follows. Mainly for reference, we will give a quick reminder of the most important results in Parts I and II on the HullWhiteModel and on Carr–Madan pricing in section 2. ...

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The Two-Factor Hull-White Model : Pricing and Calibration of Interest Rates Derivatives

The Two-Factor Hull-White Model : Pricing and Calibration of Interest Rates Derivatives

... our model. We see that we have reached the limit of the two factor Hull-White model: although it can produce several kind of curve shapes, it can’t obviously produce them all: 5 parameters ...

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Calibration and Monte Carlo Pricing of the

SABR-Hull-White Model for Long-Maturity

Equity Derivatives

Calibration and Monte Carlo Pricing of the SABR-Hull-White Model for Long-Maturity Equity Derivatives

... We model the joint dynamics of stock and interest rate by a hybrid SABR-Hull- White model, in which the asset price dynamics are modeled by the SABR model [ 18 ] and the interest rate ...

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The General Hull-White Model and Super Calibration

The General Hull-White Model and Super Calibration

... general model of the short-rate can be implemented and calibrated to market ...structure model that best fits the prices of in- and out- of-the-money ...normal model is used the probability of rates ...

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An Application of the Hull-White Model on CDS Spread Pricing

An Application of the Hull-White Model on CDS Spread Pricing

... However, some assumptions of Merton’s framework are unrealistic. Black and Cox (1976) released the assumption of no seniority difference among bonds issued by the same firm by introducing the possibility of more complex ...

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Assessment of model risk through hedging simulations: valuation of Bermudan swaptions with a one factor Hull White model

Assessment of model risk through hedging simulations: valuation of Bermudan swaptions with a one factor Hull White model

... Chapter 4 Valuation framework For pricing interest rate options we usually need to know how the term structure of interest rates will evolve through the time. The zero rates of the yield curve can be described using an ...

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Calibration and Monte Carlo Pricing of the SABR-Hull-White Model for Long-Maturity Equity Derivatives

Calibration and Monte Carlo Pricing of the SABR-Hull-White Model for Long-Maturity Equity Derivatives

... Key words: Stochastic volatility; hybrid SABR-HW model; calibration; model approximation; time- dependent parameters; weighted Monte Carlo method; unbiased Monte Carlo simulation. 1 Introduction Equity ...

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Use Hull White tree

Use Hull White tree

... USING HULL-WHITE INTEREST-RATE TREES ABSTRACT The Hull-White tree-building procedure was first outlined in the Fall 1994 issue of Journal of ...Ho-Lee model, the Hull- ...

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A C++ Encoded Hull-White Interest Rate Tree-Builder

A C++ Encoded Hull-White Interest Rate Tree-Builder

... The Hull-White model is a single-factor, no arbitrage approach to modeling the term structure of interest ...this model results in a trinomial pricing tree that can be used to price complex ...

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Implementation of Hull-White’s No-Arbitrage Term Structure Model

Implementation of Hull-White’s No-Arbitrage Term Structure Model

... the Hull-White model is a very flexible model allowing the user to either use an analytical or numerical solution depending on the instrument he wants to price or ...the ...

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Fast solver for the three-factor Heston Hull White problem. F.H.C. Naber

Fast solver for the three-factor Heston Hull White problem. F.H.C. Naber

... Chapter 9 Conclusion & Recommendations In this thesis we focused on the implementation of a fast and accurate multi-dimensional finite difference solver for solving initial value problems, as these are the most common ...

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Fast solver for the three-factor Heston-Hull/White problem. F.H.C. Naber tw

Fast solver for the three-factor Heston-Hull/White problem. F.H.C. Naber tw

... ∂r 2 − rV = 0 (2.44) First we will derive an exact solution for a zero coupon bond under this model, which will be used as a benchmark for the numerical solution. A problem for the numerical computation of the ...

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Consistency of Extended Nelson Siegel Curve Families with the Ho Lee and Hull and White Short Rate Models

Consistency of Extended Nelson Siegel Curve Families with the Ho Lee and Hull and White Short Rate Models

... The Hull-White model presents a good fit when it is used to make projections in this market for few weeks. The estimated forward curve at the closest date to the initial one presents a good picture ...

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An Analytical Implementation of the Hull and White Model

An Analytical Implementation of the Hull and White Model

... They illustrate implementation of their model with the example of pricing a three-year put option on a zero-coupon bond that pays $100 in 9 years. The exercise price is $63, the volatility, s, is constant at 1% ...

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An Analytical Implementation of the Hull and White Model

An Analytical Implementation of the Hull and White Model

... no-arbitrage model of the evolution of the spot interest rate. Hull and White extended this work to include mean reversion of the spot interest ...their model in discrete time, Hull and ...

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