I'll let you in on a secret. It is one of the greatest secrets of all time...
The moments of one's life are valuable-in-themselves, not merely as a means to some infinitely far off future.
The value of life is not diminished because life is in finite supply. Life is valuable every step along the way. It is the moments of one's life that are worthwhile, without respect to the future. The value of these moments are not erased because they become part of the past. They happened! Nothing can change that.
For human beings, what is "ultimate" is
within their lives. That is their existence. That is their perspective. That is their context for meaning and value.
People won't exist after death to cry: "Boo hoo! My nonexistence has no meaning!" While one can imagine such a perspective, it is not a valid perspective. It is an entirely meaningless perspective.
As long as someone is alive, life is worthwhile. And after one has died, their non-existence will not matter.
And it may be a good thing that life is finite! Life becomes more precious that way. To make something of one's life becomes more urgent. If someone were immortal, their motto could easily be: "Always put off until tomorrow what does not have to be done today." Why not put off something until next year, or next century, or next millenium, or never?
So, be happy that you are a finite being.
eudaimonia,
Mark