$(10$ pts$.)$ A developer is proposing to build and operate an $8$ suite office building. Each unit would rent for $$4,250$ per month. It is expected that vacancy would run at $7\%$ and that the expenses would be $12\%.$ The loan is to be $75\%$ of the capitalized value. The developer has a MARR of $15\%,$ the bank is charging $9\%$ interest, and the Long Term Debt Service is a constant $9\mathrm{.}5\%.$ To assess the financial worth of this endeavor, determine the following $($round to the nearest cent$)$:

a$)$ CAP Rate:

b$)$ Capitalized value:

c$)$ Loan amount:

d$)$ Debt Service Coverage Ratio: