Joshua deposited $$3560\mathrm{.}00$ at the beginning of every $6$ months for $11$ years into a fund paying $3\mathrm{.}5\%$ compounded semi$-$annually. Fourteen years after the first deposit, he then converted the existing balance into an annuity due paying him equal annual payments for $22$ years. If interest for the annuity due is $5\%$ compounded annually, what is the size of the annual payment? $(10$ points$)$Please use manual calculation