A mortgage of $250,000$ is to be paid off in equal monthly installments over $30$ years. What are

the monthly mortgage payments at a constant rate of $9\%$ per annum? $2,011\mathrm{.}55$ b$.$ A person has an annual income of $40,000,$ of which $3000$ each year is invested in a pension

fund. The contributions to the fund are made over $35$ years, and the average rate of return on

the fund is $6\%$ p$.$a$.$ in real terms $($i$.$e$.$ allowing for depreciations$).$ The expected life expectancy at

retirement is $18$ years. The real rate of return on government bonds at the time of retirement is

$3\%.$ What annual pension should be person receiv