A client is concerned about the impact that inflation will have on her retirement income. Theclient currently earns $$38,000$ per year. Assuming that inflation averages $2\mathrm{.}25\%$ for the first fiveyears, $2\mathrm{.}5\%$ for the next five years and $3\mathrm{.}25\%$ for the remaining time until retirement. Whatamount must her first$-$year retirement income be when she retires $13$ years from now if shewants it to equal the purchasing power of her current earnings?