# Questions tagged [monte-carlo]

Monte Carlo simulation methods are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results.

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### Monte Carlo Simulation of correlated returns based on different frequencies

I am simulating through Monte Carlo, multivariate correlated returns of different products composing an Oil&Gas portfolio. The historical prices (from which I computed the log-returns) of the ...
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### Optimal number of simulations for Monte Carlo [duplicate]

I am building a Monte Carlo simulation model for thousands of stocks. I am wondering is there a closed-form formula I can use to determine the optimal or at least minimum number of simulations need to ...
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### Monte Carlo Pricer for Express Certificate delivers wrong price [Mathematica]

So I wanted to price the following Express Certificate with this specific payout structure: If S1 > S0 -> 105.25 , else -> If S2 > 0.95*S0 -> 110.5 , else -> If S3 > 0.9*S0 -> 115.75 , else -> If ...
57 views

### Low estimator when valuing american option using Broadie and Glassermann Monte Carlo tree with antithetic branching (R)

I've been looking into Monte Carlo methods for valuing american options. Now, I found an R code by Stefano M. Iacus that values the option using a tree (based on Broadie and Glassermann) without use ...
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### Mean-Var optimisation of Monte Carlo simulated model

I have a problem which involves optimisation of a portfolio containing one stock and multiple call options written on it, with the same maturity and different strikes. In order to use optimisation ...
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### Stochastic Simulation vs percentile-to-percentile map

I was wondering why someone would go to the trouble to generate random variables in scenarios that are not path dependent. Let me provide a simple (although somewhat contrived) example. Lets say that ...
818 views

### How to price exotic options using Monte-Carlo?

I am actually trying to solve some exercise problem using Monte-Carlo and C++ for exotic options. Namely, the exotic options are geometric Asian options and discrete barrier option. It is claimed ...
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### When pricing with Monte Carlo using market prices, should we use only the first price or all the prices to create the paths?

I have a vector $S=(S_0,S_1,...)$ of monthly oil spot prices and for each of them I have to compute, using Monte Carlo, the price of the forward contract having it as underlying asset. The equation ...
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### Heston Discretization dt

Iām trying to figure out the discretization of the Heston model. In the choice of dt, I have seen several ways that people specify this number. Would it not just be ...
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### Issue in Pricing Binary Options using Heaviside Function and QuantLib Python

I am trying to price binary option using MC Simulation and Python QuantLib Library. The price of the option matches with the Analytical Engine. However, I am not sure how to incorporate the Heaviside ...
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### Issue in Pricing Barrier Options using MCBarrierEngine in QuantLib Python

Extremely sorry for bugging the community again, but I am struggling with finding proper documentation of QuantLib Python. I am trying to price Barrier Option using MC Simulation. Here is the code: <...
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### Monte Carlo approach and methods for generating random returns

Recently I found myself reading more about Monte Carlo approach in m.v. portfolio optimization framework. I already discuss the topic on this forum (if interested please consider the following links - ...
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### MonteCarlo Value at Risk for a bonds portfolio

As mentioned in the title, I am trying to calculate MC VaR for a portfolio consisting entirely of bonds. I already modeled the zero curve using Vasicek and Cox,Ingersoll & Ross models. Next steps ...