"""Policy attributes and policy values
This Space is a child Space of :mod:`~nestedlife.model.OuterProj`.
A child Space derived from this Space is created under each
:mod:`~nestedlife.model.OuterProj` ItemSpace,
such as ``nestedlife.OuterProj[1].Policy``,
which holds policy attributes and policy values for Policy 1.
The Space is used by :mod:`~nestedlife.model.BaseProj.Assumptions`
and :mod:`~nestedlife.model.OuterProj.InnerProj`.
Some Cells in this Space, such as :func:`Product` and :func:`IssueAge`,
are for retrieving attributes for the selected policy from :attr:`PolicyData`.
Some other Cells, such as :func:`GrossPremRate` are for
calculating policy values for the policy from the attributes and
product specs looked up through :attr:`SpecLookup`.
.. blockdiag::
blockdiag {
default_node_color="#D5E8D4";
default_linecolor="#628E47";
node_width=150;
Proj[label="OuterProj\\n[PolicyID, ScenID=1]", stacked];
Proj <- Assumptions [hstyle=composition];
Proj <- Policy [hstyle=composition];
}
.. rubric:: Parameters
Since :mod:`~nestedlife.model.OuterProj` is parameterized with
:attr:`PolicyID` and :attr:`ScenID`, this Space is also
parameterized as a child space of :mod:`~nestedlife.model.OuterProj`.
For example, ``nestedlife.Projection[1].Policy.GrossPremRate()``
represents the gross premium rate for Policy 1.
Attributes:
PolicyID(:obj:`int`): Policy ID
ScenID(:obj:`int`, optional): Scenario ID, defaults to 1.
.. rubric:: References
Attributes:
LifeTable: :mod:`~nestedlife.model.LifeTable` Space
PolicyData: `ExcelRange`_ object holding data read from the
Excel range *PolicyData* in *input.xlsx*.
SpecLookup: :func:`~nestedlife.model.Input.SpecLookup`
PremTerm: Alias for :func:`PolicyTerm`
.. _ExcelRange:
https://docs.modelx.io/en/latest/reference/dataclient.html#excelrange
"""
from modelx.serialize.jsonvalues import *
_formula = None
_bases = []
_allow_none = None
_spaces = []
# ---------------------------------------------------------------------------
# Cells
[docs]def AnnPremRate():
"""Annualized Premium Rate per Sum Assured"""
return GrossPremRate * (1/10 if PremFreq == 0 else PremFreq)
[docs]def CashValueRate(t):
"""Cash Value Rate per Sum Assured"""
return max(ReserveNLP_Rate('PREM', t) - SurrCharge(t), 0)
[docs]def GrossPremRate():
"""Gross Premium Rate per Sum Assured per payment"""
alpha = LoadAcqSA()
beta = LoadMaintPrem()
gamma = LoadMaintSA()
gamma2 = LoadMaintSA2()
delta = LoadMaintPremWaiverPrem()
x, n, m = IssueAge(), PolicyTerm(), PremTerm()
comf = LifeTable[Sex(), IntRate('PREM'), TableID('PREM')]
if Product == 'TERM' or Product == 'WL':
return (comf.Axn(x, n) + alpha + gamma * comf.AnnDuenx(x, n, PremFreq)
+ gamma2 * comf.AnnDuenx(x, n-m, 1, m)) / (1-beta-delta) / PremFreq / comf.AnnDuenx(x, m, PremFreq)
elif Product == 'ENDW':
return (comf.Exn(x, n) + comf.Axn(x, n) + alpha + gamma * comf.AnnDuenx(x, n, PremFreq)
+ gamma2 * comf.AnnDuenx(x, n-m, 1, m)) / (1-beta-delta) / PremFreq / comf.AnnDuenx(x, m, PremFreq)
else:
raise ValueError('invalid product')
[docs]def GrossPremTable():
"""Gross premium table"""
return None
[docs]def InitSurrCharge():
"""Initial Surrender Charge Rate"""
param1 = SpecLookup.match("SurrChargeParam1", Product(), PolicyType(), Gen()).value
param2 = SpecLookup.match("SurrChargeParam2", Product(), PolicyType(), Gen()).value
if param1 is None or param2 is None:
raise ValueError('SurrChargeParam not found')
return param1 + param2 * min(PolicyTerm / 10, 1)
[docs]def IntRate(RateBasis):
"""Interest Rate"""
if RateBasis == 'PREM':
basis = 'IntRatePrem'
elif RateBasis == 'VAL':
basis = 'IntRateVal'
else:
raise ValueError('invalid RateBasis')
result = SpecLookup.match(basis, Product(), PolicyType(), Gen()).value
if result is not None:
return result
else:
raise ValueError('invalid RateBais')
[docs]def LoadAcqSA():
"""Acquisition Loading per Sum Assured"""
param1 = SpecLookup("LoadAcqSAParam1", Product())
param2 = SpecLookup("LoadAcqSAParam2", Product())
return param1 + param2 * min(PolicyTerm / 10, 1)
[docs]def LoadMaintPrem():
"""Maintenance Loading per Gross Premium"""
if SpecLookup("LoadMaintPremParam1", Product()) is not None:
return SpecLookup("LoadMaintPremParam1", Product())
elif SpecLookup("LoadMaintPremParam2", Product()) is not None:
param = SpecLookup("LoadMaintPremParam2", Product())
return (param + min(10, PolicyTerm)) / 100
else:
raise ValueError('LoadMaintPrem parameters not found')
[docs]def LoadMaintPremWaiverPrem():
"""Maintenance Loading per Gross Premium for Premium Waiver"""
if PremTerm < 5:
return 0.0005
elif PremTerm < 10:
return 0.001
else:
return 0.002
[docs]def LoadMaintSA():
"""Maintenance Loading per Sum Assured during Premium Payment"""
result = SpecLookup.match("LoadMaintSA", Product(), PolicyType(), Gen()).value
if result is not None:
return result
else:
raise ValueError('lookup failed')
[docs]def LoadMaintSA2():
"""Maintenance Loading per Sum Assured after Premium Payment"""
result = SpecLookup.match("LoadMaintSA2", Product(), PolicyType(), Gen()).value
if result is not None:
return result
else:
raise ValueError('lookup failed')
[docs]def NetPremRate(basis):
"""Net Premium Rate"""
gamma2 = LoadMaintSA2
comf = LifeTable[Sex(), IntRate(basis), TableID(basis)]
x, n, m = IssueAge(), PolicyTerm(), PremTerm()
if Product == 'TERM' or Product == 'WL':
return (comf.Axn(x, n) + gamma2 * comf.AnnDuenx(x, n-m, 1, m)) / comf.AnnDuenx(x, n)
elif Product == 'ENDW':
return (comf.Axn(x, n) + gamma2 * comf.AnnDuenx(x, n-m, 1, m)) / comf.AnnDuenx(x, n)
else:
raise ValueError('invalid product')
[docs]def ReserveNLP_Rate(basis, t):
"""Net level premium reserve rate"""
gamma2 = LoadMaintSA2()
lt = LifeTable[Sex(), IntRate(basis), TableID(basis)]
x, n, m = IssueAge(), PolicyTerm(), PremTerm()
if t <= m:
return lt.Axn(x+t, n-t) + gamma2 * lt.AnnDuenx(x+t, n-m, 1, m-t) \
- NetPremRate(basis) * lt.AnnDuenx(x+t, m-t)
else:
return lt.Axn(x+t, n-t) + gamma2 * lt.AnnDuenx(x+t, n-m, 1, m-t)
[docs]def ReserveRate():
"""Valuation Reserve Rate per Sum Assured"""
return None
[docs]def SurrCharge(t):
"""Surrender Charge Rate per Sum Assured"""
m = PremTerm()
return InitSurrCharge * max((min(m, 10) - t) / min(m, 10), 0)
[docs]def TableID(RateBasis):
"""Mortality Table ID"""
if RateBasis == 'PREM':
basis = "MortTablePrem"
elif RateBasis == 'VAL':
basis = "MortTableVal"
else:
raise ValueError('invalid RateBasis')
result = SpecLookup.match(basis, Product(), PolicyType(), Gen()).value
if result is not None:
return result
else:
raise ValueError('invalid RateBais')
[docs]def UernPremRate():
"""Unearned Premium Rate"""
return None
Product = lambda: PolicyData[PolicyID, 'Product']
PolicyType = lambda: PolicyData[PolicyID, 'PolicyType']
Gen = lambda: PolicyData[PolicyID, 'Gen']
Channel = lambda: PolicyData[PolicyID, 'Channel']
Sex = lambda: PolicyData[PolicyID, 'Sex']
Duration = lambda: PolicyData[PolicyID, 'Duration']
IssueAge = lambda: PolicyData[PolicyID, 'IssueAge']
PremFreq = lambda: PolicyData[PolicyID, 'PremFreq']
PolicyTerm = lambda: PolicyData[PolicyID, 'PolicyTerm']
PolicyCount = lambda: PolicyData[PolicyID, 'PolicyCount']
SumAssured = lambda: PolicyData[PolicyID, 'SumAssured']
# ---------------------------------------------------------------------------
# References
LifeTable = ("Interface", ("...", "LifeTable"), "auto")
PolicyData = ("Pickle", 2324875789768)
PremTerm = ("Interface", (".", "PolicyTerm"), "auto")
SpecLookup = ("Interface", ("...", "Input", "SpecLookup"), "auto")