Account value to number of policies¶
This graph uses the
from 2. Extended Stochastic Example,
and shows path dependency of policy decrement.
The scatter plot shows how the number of policies at maturity varies by the level of account value at maturity, and the graphs on the sides show the distributions of the two factors.
# The code below is based on the sample script available on # https://matplotlib.org/stable/gallery/lines_bars_and_markers/scatter_hist.html # See accompanying LICENSE_MATPLOT.txt for its terms of conditions. import numpy as np import matplotlib.pyplot as plt import modelx as mx def scatter_hist(x, y, ax, ax_histx, ax_histy): # no labels ax_histx.tick_params(axis="x", labelbottom=False) ax_histy.tick_params(axis="y", labelleft=False) # the scatter plot: ax.scatter(x, y) def get_bins(data, binsize): ub, lb = np.max(data), np.min(data) binwidth = ((ub - lb) / binsize) return np.arange(lb, ub + binwidth, binwidth) xbins = get_bins(x, 100) ybins = get_bins(y, 100) ax_histx.hist(x, bins=xbins) ax_histy.hist(y, bins=ybins, orientation='horizontal') # definitions for the axes left, width = 0.1, 0.65 bottom, height = 0.1, 0.65 spacing = 0.005 rect_scatter = [left, bottom, width, height] rect_histx = [left, bottom + height + spacing, width, 0.2] rect_histy = [left + width + spacing, bottom, 0.2, height] # start with a square Figure fig = plt.figure(figsize=(8, 8)) ax = fig.add_axes(rect_scatter) ax_histx = fig.add_axes(rect_histx, sharex=ax) ax_histy = fig.add_axes(rect_histy, sharey=ax) ax.grid(True), ax_histx.grid(True), ax_histy.grid(True) m = mx.read_model('CashValue_ME_EX2') x = m.Projection.claims_from_av(120, 'MATURITY') y = m.Projection.pols_maturity(120) # use the previously defined function scatter_hist(x, y, ax, ax_histx, ax_histy) m.close()
Total running time of the script: ( 0 minutes 9.942 seconds)