$6.$ You are the current owner of a house which you bought yesterday for $500$K while having $100$K of your own equity to put down. You have a $25$ year mortgage payable monthly and which costs you $$2024$ a month. What is the duration of your mortgage?

A$)0\mathrm{.}3$

B$)3\mathrm{.}6$

C$)11\mathrm{.}19$

D$)28\mathrm{.}79$

E$)$ Cannot be computed with the information provided