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Binomial inputs, rate interval and domain

The calculator prices one supplied two-state record and does not estimate the state prices or their actual likelihoods.

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Keep every amount on its date

Current underlying price is a time-zero value; higher and lower prices are terminal inputs. The period factor connects those dates. A longer-horizon quote or a current intrinsic amount cannot silently replace a terminal-state input.

Understand why a record is rejected

The selected model requires two distinct possible states and interior pricing weights. If the grown current price lies outside or at the endpoints, the tool does not clamp the weight. Review conventions and model assumptions before changing the inputs.

Interpret the replicating components

Output meanings
RowMeaning
Pricing weightsDerived from the underlying consistency equation
Underlying unitsHolding per claim, possibly negative
Current cashFunding component; negative means modeled borrowing
Model valueWeighted and discounted claim amount
State tableReplica checked against both claim amounts

Keep the result bounded to its model

The branch diagram has exactly the supplied states. It is not a full price-distribution forecast, and a zero payoff in both states is not a universal zero-value conclusion for a real option. Inputs and scope determine the result.

Further references