Bill is due to retire in 20 years. His employer is scheduled to begin funding Bill’s pension with the first annual payment due at the end of year one and the last due at the end of year twenty. The first payment into the fund is 2000 and subsequent payments will increase by 3 % per year. These employer contributions will earn an annual effective rate of 7 %. The employer could also select an alternative funding scheme where annual contributions begin at the end of year six with the last contribution again at the end of year twenty. Under this scheme the first payment will be 1000 and will increase by Q each year. Under this scheme the effective interest rate is 8 %. Find Q so that both schemes give the same accumulated value at the end of year 20.