$(15$ Percent$)$ An ARM contract with $2/1$ interest rate caps and a $2\mathrm{.}00$ margin is $$100,000,$ monthly payments for $30$ years. The contract rates for the first two years are $5\mathrm{.}00\%$ and $5\mathrm{.}50\%,$respectively. At the end of year two index value is $4\mathrm{.}00\%,$ What is the payment of the loan in year three?