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Questions tagged [lattice]

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3
votes
1answer
73 views

Difference between tree and lattice approach

Is there any difference between the tree and lattice approach for valuing derivatives? I was under the impression that both are the same.
0
votes
0answers
33 views

Pricing European Call on Coupon Bond in Lattice

What's the best approach to pricing a par call option on a coupon paying bond? Is it to discount the greater of the price and strike through the lattice? And for this, is the price used the dirty or ...
1
vote
2answers
48 views

Modeling exercise notice time using lattices?

I am interested in modeling callable (say European) bonds which have a time gap between when the future call exercise is decided and when the call actually occurs (payoff) - say 7 business days. I am ...
2
votes
1answer
58 views

Trinomial model for stock options with deterministic interest curve

I am implementing a basic trinomial model with constant volatility right now. I want to do an extension that does not take a constant riskfree rate as input, but interpolates between different given ...
1
vote
0answers
159 views

Bonds with embedded options pricing via binomial model

Notation: t - time; G(t) - zero-coupon yield curve; $r$, $r_d$, $r_u$ - interest rates. The task is to find market price of a bond for today, while knowing the price of a number of other bonds. ...
4
votes
0answers
2k views

Implied volatility from American options using python

I am currently trying to construct volatility surface from american option prices (using Cox-Ross-Rubinstein tree) in Python 2.7. Below you can find the code I came up with. Any corrections would be ...
1
vote
1answer
386 views

Lattice Boltzmann method for pricing options

I'm looking into whether there is ANY information out there regarding the implementation of the Lattice Boltzmann method for pricing options (or other financial tasks). I am very new to the world of ...
2
votes
0answers
82 views

Calculating the error of a Trinomial Model

I've been trying to find a formula to obtain the maximum relative error a trinomial model with n timesteps will incur given all other inputs as compared to the standard BSM model. I'm concerned mostly ...
4
votes
2answers
401 views

Iterating through every path of a Trinomial Tree

I am attempting to come up with an algorithm to iterate through every possible path of a trinomial tree and am having difficulties coming up with one. Is there any literature on this or has anyone ...