Pricing European passport option with radial basis function. (English) Zbl 1397.91592
Summary: Passport option is a financial derivative with the value of a trading account as the underlying security. The valuation of this option can be obtained through the solution of a backward partial differential equation. A closed form solution for this valuation problem exists for the symmetric case when the risk-free rate is identical to the cost of carry. We obtain the value of the European passport option in this case, by using radial basis function and extend it to the asymmetric case when the risk-free rate is distinct from the cost of carry. The numerical schemes and algorithm are presented along with illustrative examples.
MSC:
| 91G60 | Numerical methods (including Monte Carlo methods) |
| 91G20 | Derivative securities (option pricing, hedging, etc.) |
| 65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
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