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Questions tagged [hullwhite]

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How to get set the theta function in the Hull-White model to replicate the current yield curve

I want to calibrate the HW one factor model to current market data. How do I set the function $\theta(t)$ in $$\mathrm{d}r(t) = \kappa(\theta(t)-r(t))\mathrm{d}t+\sigma\mathrm{d}W(t)$$ to ...
64 views

Cap price as bond options

I am currently struggling with model calibration of the Hull-White (or Vasicek) model to Caps and Floors. My main problem is that I am confused about the notation. In Brigo & Mercurio (2006, p. ...
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Fixing mean reversion parameter in the 1F HW model

I am trying to calibrate the 1 factor Hull White model to ATM swaptions. The strategy which I use is to minimise the sum of squared difference between model and market prices for the swaptions on the ...
483 views

Hull White help needed

I've been trying to calibrate Hull-White 1 Factor & 2 Factor model using Caps but I've some major doubts about my methodology, and would really appreciate some help. I am using these formulas ...
395 views

Monte-Carlo simulation Hull-White process: physical and risk-neutral measure

From Monte-Carlo simulation Hull-White process I get paths in risk-neutal measure. How can I get paths in physical measure?
790 views

FX Hull-White model

A model for FX, presented in Interest Rate Models, Brigo and Mercurio (2006), has the following dynamics: \begin{align} dr_t^d&= \lambda_d(\theta_d(t)-r_t^d)dt+\eta_d dW_t^d\\ dr_t^f&= [\...
165 views

Implementation of the Hull and White short rate model

This is the first time I'm using quantlib, and I wanted to compare the velocity of quantlib with my own Python code. I found a tutorial about Hull and White to generate the short rate paths with ...
272 views

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Calibration of Hull White One factor model in F.C.Park paper

I want to ask a question with reference to a paper from below link http://www.cmpr.co.kr/asset/research_material/implementing_interest_rate_models.pdf Minimization specified in Page 14: Mean ...