Mr$.$ Front Line estimates that he will need $$13,000$ every year for $6$ years to fund his son's education. He is earning $4\%$ annual on savings. How much will Steve need to have saved by the time the son goes to college to fund these six years $($assume annual compounding$)?$

Time Value of Money Table Factors:

present value of annuity, period $=6,$ interest rate $=4\%$:$5\mathrm{.}24214$

present value of $$1,$ period $=6,$ interest rate $=4\%$:$\mathrm{.}79031$

future value of annuity, period $=6,$ interest rate $=4\%$:$6\mathrm{.}6330$

future value of $$1,$ period $=6,$ interest rate $=4\%$:$1\mathrm{.}26532$

present value of annuity, period $=12,$ interest rate $=2\%$:$10\mathrm{.}57534$

present value of $$1,$ period $=12$ interest rate $=2\%$:$\mathrm{.}78849$

future value of annuity, period $=12,$ interest rate $=2\%$:$13\mathrm{.}4121$

future value of $$1,$ period $=12,$ interest rate $=2\%$:$1\mathrm{.}26824$

'Round your answer to a whole number.