A variable annuity is a contract between you (the purchaser) and an insurance company (the issuer). In return for your premium payments, the issuer agrees to make periodic payments to you (if you elect this option), beginning either immediately or at some future date.
Annuity premium payments may be made with after-tax dollars and are not tax deductible. Annuities also may be purchased within tax-advantaged plans, such as 401(k) plans, Section 403(b) retirement plans (TSAs), or IRAs. Premiums for annuities in tax-advantaged plans are generally paid with pretax dollars, and may be subject to annual contribution limits.
You can pay your premiums in one lump sum, or you can make a series of payments over time. Annuities funded with after-tax premiums are not subject to annual contribution limits.