*Last updated: 2023-03-16.*
# Module: tf_quant_finance.experimental.american_option_pricing.andersen_lake.exercise_boundary
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Calculating the exercise boundary function of an American option.
## Modules
[`common`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/common.md) module: Helper functions for calculating American option prices.
[`cubic_interpolation`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/exercise_boundary/cubic_interpolation.md) module: Cubic Spline interpolation framework.
[`types`](../../../../tf_quant_finance/types.md) module: Types module.
[`utils`](../../../../tf_quant_finance/utils.md) module: Utilities module.
## Functions
[`boundary_denominator(...)`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/exercise_boundary/boundary_denominator.md): Calculates the denominator of the exercise boundary function of an American option.
[`boundary_numerator(...)`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/exercise_boundary/boundary_numerator.md): Calculates the numerator of the exercise boundary function of an American option.
[`build_spline(...)`](../../../../tf_quant_finance/math/interpolation/cubic/build_spline.md): Builds a SplineParameters interpolation object.
[`d_minus(...)`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/d_minus.md)
[`d_plus(...)`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/d_plus.md)
[`divide_with_positive_denominator(...)`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/divide_with_positive_denominator.md): Safely divides by a denominator which is mathematically always positive, but numerically can be zero.
[`exercise_boundary(...)`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/calculate_exercise_boundary.md): Calculates the exercise boundary function of an American option.
[`gauss_legendre(...)`](../../../../tf_quant_finance/math/integration/gauss_legendre.md): Evaluates definite integral using Gauss-Legendre quadrature.
[`interpolate(...)`](../../../../tf_quant_finance/math/interpolation/cubic/interpolate.md): Interpolates spline values for the given `x` and the `spline_data`.
[`machine_eps(...)`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/machine_eps.md): Returns the machine epsilon for the supplied dtype.
[`standard_normal_cdf(...)`](../../../../tf_quant_finance/experimental/american_option_pricing/andersen_lake/standard_normal_cdf.md)