You are offering the employees in your small firm a so-called defined benefit pension plan. Beginning exactly 21 years from today you will pay out the first annual payment of a guaranteed 30-year stream of annual payments. The first payment will be $100,000 for 10 employees, or $1 million. The payment stream will grow by 3% per year each year to match expected inflation. You have already started investing in the pension account, which has a balance of $113,971.84 today. You expect that the account will always yield 13% APR, and you will always leave the money in the account, only withdrawing the money as needed by the plan. To supplement the plan, you will make 20 even, annual payments over the next 20 years, beginning one year from today. How big must the annual payment that you will contribute be?

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