A mortgage of $100,000$ and annual interest rate of $4\%,$ with compounding, is repaid in $200$ constant monthly payments. Compute the principal amount pending after two mortgage payments.

a$.$ Between $99296$ and $99301$ euros

b$.$ Between $99340$ and $99335$ euros

c$.$ Between $99305$ and $99210$ euros

d$.$ Between $99287$ and $99292$ euros