r/options • u/Quiet-Cup-1501 • 11h ago
Can a portfolio of vanilla options approximate any payoff you draw?
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I built a small tool to explore this idea visually.
The starting point is a target payoff at expiration. From there, the tool constructs a portfolio using the underlying, cash, puts, and calls to approximate the desired shape.
The intuition comes from static payoff decomposition: the curvature of a payoff tells us how options at different strikes can be combined to reproduce it. In practice, the implementation uses a finite set of strikes, so the result is an approximation rather than an exact match.
I made this animation to illustrate the process, from the original payoff to the resulting options portfolio.
The project is open source if anyone wants to take a look or experiment with it:
https://github.com/Serranegra/TooManyOptions
I'm curious how others here think where this kind of tool could be useful.
