Harry decides to purchase an apartment building as an investment. He pays $$6,000,000$ for the building. The building has a net income of $$150,000,$ annual depreciation $$150,000,$ annual taxes of $$75,000,$ and annual interest payments of $$105,000.$

a$.$ Calculate the building$$s cap rate.

b$.$ One year later, the price of the building goes up to $$7,000,000.$ Calculate the new cap rate.