# Questions tagged [heston]

A type of stochastic volatility model developed by associate finance professor Steven Heston in 1993 for analyzing bond and currency options. The Heston model is a closed-form solution for pricing options that seeks to overcome the shortcomings in the Black-Scholes option pricing model related to return skewness and strike-price bias.

124 questions
Filter by
Sorted by
Tagged with
22 views

### Simulation of Heston process Quantlib-Python

I am wondering weather there exists some method such that one can simulate sample paths for the Heston model in Quantlib-Python. I am currently working on a project that require simulations with the ...
47 views

### Approximate Asian option price under Heston Model

I am looking to see if there is a formula or a derivation at least of an approximation of an Asian (Average Price) option under the heston model of stochastic volatility. Please advise
55 views

### Heston Model and antithetic variables

I was implementing some variance reduction techniques for the heston model and came up with a question when implementing the antithetic variable technique. Namely, I was not sure if I had to implement ...
52 views

### Does the Heston calibration have to be done on an arbitrage-free surface?

In a similar way to local volatility? I'm trying to calibrate a surface, but the results aren't convincing, so I was wondering if it was necessary to first use a way to regulate it (splines, ...
36 views

### Benchmarking of models

Why do we need benchmarking adjustmenets for a model? Suppose, a trading desk is using Heston model for generating vol surface, then why do risk management uses various other models like IR Mean ...
52 views

### Calibrating Heston model parameters using the Active-set method and Levenberg–Marquardt

Background: We're estimating the parameters of the Heston model from current market data of options. This is to be implemented using the active-set method (see section 16.5 here) and the Levenberg-...
61 views

50 views

### Heston model with jumps in both variance and underlying dynamic

How can I build on Matlab a Heston model using characteristic function adding jumps in both variance and underlying dynamic ? Suppose that the number of jumps is Poisson-distributed but the jump size ...
90 views

### Heston calibration using Quantlib and Python: failure in BlackVarianceSurface function

I have an error when trying to use the fucntion BlackVarianceSurface from quantlib. Can you help me? the error is RunTime Error: dates must be sorted unique. ...
147 views

### evaluation of option pricing models based on Greeks empirical hedging effectiveness

I’ve studied many different pricing models (B&S, Vasicek, CIR, Merton jump, Heston, ecc), each of them gives as output a different price and different values for the Greeks. So, for example, if ...
109 views

### Compute implied volatility surface of a put option from a call option

Suppose the function double bsCall(double S0, const double &K, double T, double r, double sigma) computes analytically the Black-Scholes price of a call option ...
73 views

### How do I, as a student, discover whether (new) papers consist of important contributions?

I am a master's student and have just started reading research papers regularly for the first time. I usually browse articles on arXiv. One of the main difficulties I've run into is figuring out ...
31 views

### Double Heston Model - Gauthier & Possamai prices

has anyone successfully implemented the Double Heston model based on Fabrice Rouah's "The Heston Model and its extensions"? I am finding that writing up the Matlab code from his chapter on the ...
98 views

### Example of complex structured products on FX market?

Lately I have been working a lot with the vol smile and different stochastic volatility models with FX forwards data. Now I want to work with pricing examples through simulations. Can you suggest some ...
79 views

### Simulating volatility process in the Heston model using the relation between the CIR Process and Ornstein–Uhlenbeck processes

I am trying to simulate the volatility process in the Heston model using the relation between the CIR Process and Ornstein–Uhlenbeck processes. In fact, giving $\mathbf{X}$ a $n$-dimensional vector ...
102 views

### Difference between modelValue from HestonModelHelper and NPV() from VanillaOption

I am trying to calibrate an Heston model and price vanilla option using Quantlib 1.15 and Python 2.7. I use the following code ...
59 views

### Sticky Delta Property - Heston Model

Given the model in the picture, how can you verify the sticky delta property without any computational methods? I was told that it is possible to deduce it just looking at the model but frankly i have ...
70 views

### What is the model behind Heston-Nandi functions in the fOptions R package?

I am dealing with Heston model in R and for this purpose I am using the package fOptions from RMetrics. The calibration formula requires the specification of some parameters (omega, lamda, alpha, ...
34 views

### What adjustments need to be made to Heston model to price futures options? [duplicate]

My understanding for the Black Scholes model is that a few adjustments need to be made so that the BS model can be used to price futures. Hence the Black-76 model. What adjustments, if any, do we ...
179 views

### Pricing in the Heston Model

The dynamics of the Heston Model is \begin{align*} \frac{dS}{S} & = \lambda \sqrt{\nu} d W^S \\[0.5em] d \nu & = k (1- \nu )dt + \epsilon \sqrt{\nu} dW^\sigma \end{align*} where $\lambda$...
43 views

### Negative theta in Log-linear stochastic volatility model

I was asked to simulate the following geometric Brownian motion to get paths for the SPX stock price. the process follows a Log-Linear stochastic volatility. $dS_t = \mu S_tdt+e^VS_tdW_1$ where ...
For the Cox-Ingersoll-Ross model $$\text{d}r_t = a(b-r_t)\text{d}t+\sigma\sqrt{r_t}\text{d}W_t$$ the condition (referred to as "Feller condition") $$2ab\geq\sigma^2$$ ensures that the solution is ...