chapter 9

In chapter 9,topic Reversionary annuities that depend upon term.

anyone tell me,what is the difference between type2 (an annuity payable to y on the death of x,but ceasing at time n) & type 4(an annuity payable to y on the death of x for a maximum of n years)?

 

From your descriptions (rather than the notes which I don't have):

Annuity payable to y on death of x, but ceasing at time n.
No matter what happens, there are no payments after time n (from now).
Say n = 10 and x dies 5 years from now, then payments will be made from t=5 to t=10 (once y is alive).

Annuity payable to y on the death of x for a maximum of n years.
Here the "n years" starts when x dies.
Again take n = 10 with x dying in 5 years.
Payments made from t=5 until t=15 (or death of y if earlier)

I assumed that these were life annuities (ie payable for life of y), but you could take out the condition on life status of y for annuities certain.

 

ok ,if life x dies t year for type 2.please tell me ,my integral expression is correct or not.
the integral expression of this annuity is
=intergation (limit 0 to n)[ v^t *tpxy *mu x+t*a(bar) y+t:n-t *dt ]