I calculated the individual forces of decrement to get the dependent probability of surrender. This gives:
mu^death_63= -ln(1-0.004251)
mu^surrender_63= -ln(1-0.05)
aq^surr)_63=1-e^(-((-ln(1-0.004251)-ln(1-0.05)))*(-ln(1-0.05)/(-ln(1-0.05)-ln(1-0.004251)=0.498455804.
Note that this value of the dependent probability of decrement I calculated is different to the one provided in the solution (i.e they get 0.049787). Why is this? I am aware that the solution approaches the problem differently, but to my knowledge the relationship I expressed holds? I have calculated other dependent probabilities of decrement using formulae like this previously without issue.
Please could you explain?
Thanks,
Danny
mu^death_63= -ln(1-0.004251)
mu^surrender_63= -ln(1-0.05)
aq^surr)_63=1-e^(-((-ln(1-0.004251)-ln(1-0.05)))*(-ln(1-0.05)/(-ln(1-0.05)-ln(1-0.004251)=0.498455804.
Note that this value of the dependent probability of decrement I calculated is different to the one provided in the solution (i.e they get 0.049787). Why is this? I am aware that the solution approaches the problem differently, but to my knowledge the relationship I expressed holds? I have calculated other dependent probabilities of decrement using formulae like this previously without issue.
Please could you explain?
Thanks,
Danny