You have taken out a $$950,000$ loan with an original term of $30$ years. The interest rate is $3\mathrm{.}5\%$ per annum fixed for the first three $(3)$ years, calculated monthly. You are making monthly payments. After $3$ years your loan is no longer a fixed rate loan and interest rates rise to $6\mathrm{.}5\%$ due to recent monetary policy tightening. What are your new monthly payments? $($Assume you wish the original maturity to be unchanged$)$