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#1




Fractional Age Assumptions
How do we deal with a fractional age assumption question (udd, constant, hyperbolic) when s+t > 1? Plugging the values into given formulas does not work.

#3




Thanks Professor for the response. But I still don't get why we use survival propabilities when we are trying to find the probability of death/failure the expression 2.2qx = 2Px * 0.2qx+2 implies that 2.2qx = 2/2.2qx?

#5




Once a probability takes you outside a single integer year of age, it's often simplest to find the equivalent set of lx values from your yearlong probabilities, express your complicated probability in terms of lx values, and then interpolate as needed (linear on lx, on 1/lx, or on ln(lx)) to get those lx values.
Jim Daniel
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#6




Gandalf thanks, I get it

#7




would that be the same as qx + px * 0.2qx+1, though?

#10




If you stop and think about it, you're asking a rather silly question. Fractional age assumptions are for the pattern of mortality between integral ages. So they tell you how to get (for example) mu_50.2 from q50. They wouldn't tell you how to get mu_51.2 (that's 50+1.2) from q50, because that's not in the year starting with age 50.
You could say mu_(50+1.2)=mu_(51.2)=mu_(51+.2) and then evaluate it under udd by the formula you already gave as q_51/(1.2*q_51). 
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