"""Present Value mix-in Space
This Space serves as a base Space for :mod:`~fastlife.model.Projection`
Space, and it contains Cells to take the present value of projected cashflows.
.. blockdiag::
blockdiag {
default_node_color="#D5E8D4";
default_linecolor="#628E47";
PV[style=dotted]
PV <- Projection [hstyle=generalization];
}
"""
from modelx.serialize.jsonvalues import *
_formula = None
_bases = []
_allow_none = None
_spaces = []
# ---------------------------------------------------------------------------
# Cells
[docs]def InterestNetCF(t):
"""Interest accreted on pv of net cashflows"""
if t > last_t:
return 0
else:
return (PV_NetCashflow(t)
- PremIncome(t)
+ ExpsTotal(t)) * DiscRate(t)
[docs]def PV_BenefitDeath(t):
"""Present value of death benefits"""
if t > last_t:
return 0
else:
return (-BenefitDeath(t) + PV_BenefitDeath(t+1)) / (1 + DiscRate(t))
[docs]def PV_BenefitMat(t):
"""Present value of matuirty benefits"""
if t > last_t:
return 0
else:
return (-BenefitMat(t) + PV_BenefitMat(t+1)) / (1 + DiscRate(t))
[docs]def PV_BenefitSurr(t):
"""Present value of surrender benefits"""
if t > last_t:
return 0
else:
return (-BenefitSurr(t) + PV_BenefitSurr(t+1)) / (1 + DiscRate(t))
[docs]def PV_BenefitTotal(t):
"""Present value of total benefits"""
exist = (t <= last_t())
if not exist.any():
return 0
else:
result = (-BenefitTotal(t) + PV_BenefitTotal(t+1)) / (1 + DiscRate(t))
result.name = "PV_BenefitTotal"
return result
def PV_Check(t):
return PV_NetCashflow(t) - PV_NetCashflowForCheck(t)
[docs]def PV_ExpsAcq(t):
"""Present value of acquisition expenses"""
if t > last_t:
return 0
else:
return - ExpsAcq(t) + PV_ExpsAcq(t+1) / (1 + DiscRate(t))
[docs]def PV_ExpsCommTotal(t):
"""Present value of commission expenses"""
if t > last_t:
return 0
else:
return - ExpsCommTotal(t) + PV_ExpsCommTotal(t+1) / (1 + DiscRate(t))
[docs]def PV_ExpsMaint(t):
"""Present value of maintenance expenses"""
if t > last_t:
return 0
else:
return - ExpsMaint(t) + PV_ExpsMaint(t+1) / (1 + DiscRate(t))
[docs]def PV_ExpsTotal(t):
"""Present value of total expenses"""
exist = (t <= last_t())
if not exist.any():
return 0
else:
result = exist * (-ExpsTotal(t)) + PV_ExpsTotal(t+1) / (1 + DiscRate(t))
result.name = "PV_ExpsTotal"
return result
[docs]def PV_NetCashflow(t):
"""Present value of net cashflow"""
return (PV_PremIncome(t)
+ PV_ExpsTotal(t)
+ PV_BenefitTotal(t))
[docs]def PV_NetCashflowForCheck(t):
"""Present value of net cashflow"""
if t > last_t:
return 0
else:
return (PremIncome(t)
- ExpsTotal(t)
- BenefitTotal(t) / (1 + DiscRate(t))
+ PV_NetCashflow(t+1) / (1 + DiscRate(t)))
[docs]def PV_PremIncome(t):
"""Present value of premium income"""
exist = (t <= last_t())
if not exist.any():
return 0
else:
result = exist * PremIncome(t) + PV_PremIncome(t+1) / (1 + DiscRate(t))
result.name = "PV_PremIncome"
return result
[docs]def PV_SumInsurIF(t):
"""Present value of insurance in-force"""
if t > last_t:
return 0
else:
return InsurIF_Beg1(t) + PV_SumInsurIF(t+1) / (1 + DiscRate(t))
last_t = lambda: None