Find the following for a $$200,000$ fixed$-$rate mortgage and the given information.

a$)$ Monthly mortgage payment $($principal and interest$)$

b$)$ Monthly house payment $($including property taxes and insurance$)$

c$)$ Initial monthly interest

d$)$ Income tax deductible portion of initial house payment

e$)$ Net initial monthly cost for the home $($considering tax savings$)$

$\backslash$table$[[\backslash$table$[[$Term of$],[$Mortgage$]],\backslash$table$[[$Interest$],[$Rate$]],\backslash$table$[[$Annual$],[$Property$],[$Tax$]],\backslash$table$[[$Annual$],[$Insurance$]],\backslash$table$[[$Owner$\text{'}$s$],[$Income Tax$],[$Bracket$]]],[20$ years,$5\%,$$$912,$$$456,40\%$