:orphan:

.. _examples-index:

Gallery
===================


.. _general_examples:




.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. thumbnail-parent-div-close

.. raw:: html

    </div>



:mod:`savings` Examples
-------------------------



.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Account value paths generated by the Monte Carlo simulation. The first 100 and 1000 paths out of 10000 are plotted.">

.. only:: html

  .. image:: /generated_examples/savings/images/thumb/sphx_glr_plot_ex1_av_paths_thumb.png
    :alt:

  :doc:`/generated_examples/savings/plot_ex1_av_paths`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Account value paths</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Time values of options and guarantees for various in-the-moneyness are calculated using Monte Carlo simulations and the Black-Scholes-Merton pricing formula for European put options.">

.. only:: html

  .. image:: /generated_examples/savings/images/thumb/sphx_glr_plot_ex1_option_value_thumb.png
    :alt:

  :doc:`/generated_examples/savings/plot_ex1_option_value`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Monte Carlo vs Black-Scholes-Merton</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="10,000 random numbers drawn from the standard normal distribution are generated for each time step. The graph shows how well the 10,000 random numbers for t=0 fit the PDF of the standard normal distribution.">

.. only:: html

  .. image:: /generated_examples/savings/images/thumb/sphx_glr_plot_ex1_rand_thumb.png
    :alt:

  :doc:`/generated_examples/savings/plot_ex1_rand`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Account value distribution</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This graph uses the CashValue_ME_EX2 model from /libraries/savings/savings_example2, and shows path dependency of policy decrement.">

.. only:: html

  .. image:: /generated_examples/savings/images/thumb/sphx_glr_plot_ex2_av_to_pols_thumb.png
    :alt:

  :doc:`/generated_examples/savings/plot_ex2_av_to_pols`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Account value to number of policies</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="As the /libraries/savings/savings_example2 shows, time values of options and guarantees on a GMAB policy can be calculated using the Black-Scholes-Merton formula on a dividend paying stock, when maintenance fees are deducted from account value at a constant rate, by regarding the fees as dividends.">

.. only:: html

  .. image:: /generated_examples/savings/images/thumb/sphx_glr_plot_ex2_comp_option_values_thumb.png
    :alt:

  :doc:`/generated_examples/savings/plot_ex2_comp_option_values`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Black-Scholes-Merton on dividend paying stock</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="As explained in /libraries/savings/savings_example2, most variable annuity models include dynamic lapse assumptions. A dynamic lapse assumption is used to reflect such policy holder&#x27;s behaviour that they are more likely to terminate their policies when their account values are larger in comparison to the guaranteed amounts of their policies than they are when the account values are smaller than the guaranteed amounts.">

.. only:: html

  .. image:: /generated_examples/savings/images/thumb/sphx_glr_plot_ex2_lapse_decrement_thumb.png
    :alt:

  :doc:`/generated_examples/savings/plot_ex2_lapse_decrement`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Dynamic policy decrement</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>



:mod:`economic` Examples
-------------------------



.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Short rate paths generated by the Monte Carlo simulation. The first 10 and 100 paths are plotted.">

.. only:: html

  .. image:: /generated_examples/economic/images/thumb/sphx_glr_plot_ex1_short_rate_paths_thumb.png
    :alt:

  :doc:`/generated_examples/economic/plot_ex1_short_rate_paths`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Short rate paths</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The means and variances of the simulated short rates.">

.. only:: html

  .. image:: /generated_examples/economic/images/thumb/sphx_glr_plot_ex2_short_rate_mean_variance_thumb.png
    :alt:

  :doc:`/generated_examples/economic/plot_ex2_short_rate_mean_variance`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Short rate mean and variance</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The convergence of the stochastic discount factors generated by the Hull-White model.">

.. only:: html

  .. image:: /generated_examples/economic/images/thumb/sphx_glr_plot_ex3_disc_factor_convergence_thumb.png
    :alt:

  :doc:`/generated_examples/economic/plot_ex3_disc_factor_convergence`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Discount factor convergence</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


:mod:`annuallife` Examples
--------------------------


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="For one model point of each product (term, whole life and endowment), this chart shows how the number of policies in force runs off, projected by the annuallife TradLife_A_EX1 model.">

.. only:: html

  .. image:: /generated_examples/annuallife/images/thumb/sphx_glr_plot_pols_if_lapse_up_tradlife_a_ex1_thumb.png
    :alt:

  :doc:`/generated_examples/annuallife/plot_pols_if_lapse_up_tradlife_a_ex1`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">TradLife_A_EX1: in-force run-off under the lapse-up shock</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Present values of liability cashflows of a simple whole life policy projected by the annuallife TradLife_A model.">

.. only:: html

  .. image:: /generated_examples/annuallife/images/thumb/sphx_glr_plot_pvcashflows_tradlife_a_thumb.png
    :alt:

  :doc:`/generated_examples/annuallife/plot_pvcashflows_tradlife_a`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">TradLife_A: present values of cashflows</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Net liability cashflows under the prescribed Solvency II life shock scenarios for selected policies, projected by the annuallife TradLife_A_EX1 model.">

.. only:: html

  .. image:: /generated_examples/annuallife/images/thumb/sphx_glr_plot_scr_cashflows_tradlife_a_ex1_thumb.png
    :alt:

  :doc:`/generated_examples/annuallife/plot_scr_cashflows_tradlife_a_ex1`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">TradLife_A_EX1: SCR shock cashflows</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Radar charts of the Solvency II life sub-risk capital requirements for selected policies, projected by the annuallife TradLife_A_EX1 model. Each spoke of the radar chart represents a life sub-risk (~annuallife.TradLife_A.Projection.risk_life_sub), and each ring shows the sizes of those sub-risks at a projection time t.">

.. only:: html

  .. image:: /generated_examples/annuallife/images/thumb/sphx_glr_plot_scr_radar_tradlife_a_ex1_thumb.png
    :alt:

  :doc:`/generated_examples/annuallife/plot_scr_radar_tradlife_a_ex1`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">TradLife_A_EX1: Life SCR radar chart</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Draw a graph of liability cashflows of a simple whole life policy projected by the annuallife TradLife_A model.">

.. only:: html

  .. image:: /generated_examples/annuallife/images/thumb/sphx_glr_plot_tradlife_a_thumb.png
    :alt:

  :doc:`/generated_examples/annuallife/plot_tradlife_a`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">TradLife_A: cashflow</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>



:mod:`fastlife` Examples
-------------------------

*Run this fastlife sample now!* |binder fastlife_pvnetcfs|

.. include:: /banners.rst
   :start-after: Begin binder fastlife_pvnetcfs
   :end-before: End binder fastlife_pvnetcfs

.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="fastlife: Present Value of Net Cashflows">

.. only:: html

  .. image:: /generated_examples/fastlife/images/thumb/sphx_glr_plot_pvnetcf_by_issue_age_thumb.png
    :alt:

  :doc:`/generated_examples/fastlife/plot_pvnetcf_by_issue_age`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">fastlife: Present Value of Net Cashflows</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>



:mod:`nestedlife` Examples
--------------------------






.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Lapse assumption changes based on previous year experience.">

.. only:: html

  .. image:: /generated_examples/nestedlife/images/thumb/sphx_glr_plot_actest_thumb.png
    :alt:

  :doc:`/generated_examples/nestedlife/plot_actest`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">nestedlife: Actual vs Estimated</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Draw a graph of present value of cashflow">

.. only:: html

  .. image:: /generated_examples/nestedlife/images/thumb/sphx_glr_plot_pvnetcf_thumb.png
    :alt:

  :doc:`/generated_examples/nestedlife/plot_pvnetcf`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">nestedlife: Present value of cashflows</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>



:mod:`ifrs17sim` Examples
-------------------------


* *Run CSM waterfall sample now!*  |binder ifrs17sim_csm_waterfall|
* *Run IFRS17 Simulation (Baseline) now!*  |binder ifrs17sim_charts_baseline|
* *Run IFRS17 Simulation (Lapse Scenario) now!*  |binder ifrs17sim_charts_lapsescen|


.. include:: /banners.rst
   :start-after: Begin binder_ifrs17sim
   :end-before: End binder_ifrs17sim


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The script draws a CSM waterfall chart. The script is broken down into pieces of code, and explained in a Jupyter notebook, /projects/ifrs17sim_csm_waterfall.">

.. only:: html

  .. image:: /generated_examples/ifrs17sim/images/thumb/sphx_glr_plot_csm_waterfall_thumb.png
    :alt:

  :doc:`/generated_examples/ifrs17sim/plot_csm_waterfall`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">ifrs17sim: CSM waterfall chart</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Fulfilment CF, CSM, Cash balances">

.. only:: html

  .. image:: /generated_examples/ifrs17sim/images/thumb/sphx_glr_plot_ifrs_balance_thumb.png
    :alt:

  :doc:`/generated_examples/ifrs17sim/plot_ifrs_balance`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">ifrs17sim: IFRS balancesheet itms</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The script draws multiple waterfall charts, each of which depict sources of changes in balances related to IFRS17. The script is broken down into pieces of code, and explained in a Jupyter notebook, /projects/ifrs17sim_charts_baseline.">

.. only:: html

  .. image:: /generated_examples/ifrs17sim/images/thumb/sphx_glr_plot_ifrs_waterfall_thumb.png
    :alt:

  :doc:`/generated_examples/ifrs17sim/plot_ifrs_waterfall`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">IFRS waterfall chart</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>



:mod:`solvency2` Examples
--------------------------



.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Net liability cashflows by SCR shock scenarios for selected policies">

.. only:: html

  .. image:: /generated_examples/solvency2/images/thumb/sphx_glr_plot_scr_cashflows_thumb.png
    :alt:

  :doc:`/generated_examples/solvency2/plot_scr_cashflows`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">solvency2: cashflows</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This script draws radar charts for selected policies. Each spoke of the radar chart represents a sub risk of SCR life risks, and the sizes of the sub risks by duration are drawn in the radar chart.">

.. only:: html

  .. image:: /generated_examples/solvency2/images/thumb/sphx_glr_plot_scr_radar_thumb.png
    :alt:

  :doc:`/generated_examples/solvency2/plot_scr_radar`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">solvency2: Life SCR radar chart</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>



:mod:`smithwilson` Examples
---------------------------


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This notebook reads in the smithwilson model, and extrapolates forward rates using the Smith-Wilson method with various alphas, and draws the forward rates. See /projects/smithwilson for the details of the smithwilson model.">

.. only:: html

  .. image:: /generated_examples/smithwilson/images/thumb/sphx_glr_plot_smithwilson_thumb.png
    :alt:

  :doc:`/generated_examples/smithwilson/plot_smithwilson`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Smith-Wilson extrapolation with various alphas</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:
   :includehidden:


   /generated_examples/savings/index.rst
   /generated_examples/economic/index.rst
   /generated_examples/annuallife/index.rst
   /generated_examples/fastlife/index.rst
   /generated_examples/nestedlife/index.rst
   /generated_examples/ifrs17sim/index.rst
   /generated_examples/solvency2/index.rst
   /generated_examples/smithwilson/index.rst



.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_