PFProjectBenefitsProbDefault
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Function Description
Returns an array showing the probability of sponsor default
over any given year in a pension fund projection.
If FactorDefaultAdjParam and WindUpDefaultAdjParam
are both zero then the computations are very straightforward, depending only on
BaseSponsorDefaultRates.
However, if FactorDefaultAdjParam or WindUpDefaultAdjParam
are non-zero then the probability of default is adjusted from the above in a
manner that reflecting the progression of the FactorDrivingDefault or by
how well funded on a discontinuance basis the scheme is projected to be at
future points in time, by applying a scaling factor to BaseSponsorDefaultRates
(min 0, max 1) defined as follows:

where: i = year in projection, F = FactorDefaultAdjParam,
r(i) = Actual return (movement) on Factor Driving Default(i),
e(i) = Expected return on Factor Driving Default(i), W
= WindUpDefaultAdjParam, V(i) = TotalBenefitValue(i)
(on a windup basis), A(i) = Total Asset Value(i)
(values of r(i), e(i), V(i)
and A(i) are computed using Nematrian’s approximate pension
projection algorithms)
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