The egg that eventually became you once lay in your grandmother. This giddy fact(oid) happens because, in the womb, women develop all the eggs they will ever use. The supply gradually declines through the years to the point where no more eggs remain, no more children can be sired: menopause.
But why should fertility grind to a halt several decades before the body gives out? Why lose the ability to reproduce? If life is all about making babies and turning them into baby-making machines themselves (speaking biologically, not philosophically), why run out of eggs but carry on living?