Retirement plans, are divided into two phases: the payments periods and the pension periods. The participants pay an ordinary annuity during the payment period (say for n₁ years) where upon retirement they are paid an annual retirement pension. Assume the average pension period is n₂ years. If a retirement organization believes that the participants should pay one tenth of as much as they should get as pension every year, what is the value of n₁ and n₂ that keeps the cash flow of the two periods balanced at a discount rate of 10%. Suppose that the sum of payment and pension periods is 50 years.