You believe you will spend $$100,000$ a year for $15$ years once you retire in $10$ years. If the interest rate is $12\mathrm{.}50\%$ per year. $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

a$.$ How much must you need saved once you reach retirement.

b$.$ how much must you save each year until retirement to meet your retirement goal?