Samantha is considering purchasing more life insurance for her family in the event of her death. She would like to provide $$80,000$ at the beginning of each year for the next $25$ years. Assuming her survivors earn $4\%$ on the life insurance proceeds, approximately how much life insurance should she purchase?

$$900,000$

$$1,100,000$

$$2,300,000$

$$1,300,000$