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|**European Option**| Call: max(S − K, 0); Put: max(K − S, 0) | ReLU | Activation occurs when input exceeds or falls below a threshold |
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|**Softplus Option Proxy**| Smooth version of option payoff | Softplus Activation Function | Provides smooth derivatives, suitable for differentiable training |
|**Bermudan Option**| Exercise allowed on specific discrete dates | Scheduled Halting / Discrete Gating | Like dynamic layers with only certain positions allowing early exit |
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