A person has an annual income of $30,000,$ of which $3,000$ each

year is invested in a pension fund. The contributions to the fund

are made over $30$ years, and the average rate of return on the fund

is $6\%$ p$.$a$.$ in real terms $($i$.$e$.$ allowing for inflation$).$ The expected life

expectancy at retirement is $25$ years. The real rate of return on

government bonds at the time of retirement is $3\mathrm{.}0\%$ p$.$a$.$ what

annual pension should the person receive?