Jean wants to retire at age $65.$ In addition to her employment and government pensions, she would like to be able to spend another $$10,000$ per year by drawing on her RRSP at the beginning of each year, which she expects will earn a nominal annual return of $6\%.$ If Jean plans to live until age $90$ and her marginal tax rate during retirement is $28\%,$ how much must she accumulate in her RRSP by the time she retires?

$$173,583$

$$202,649$

$$188,199$

$$166,395$