Suppose your firm is seeking a five$-$year, amortizing $$360,000$ loan with annual payments, and your bank is offering you the choice between a loan of $$373,000$ with a compensating balance of $$13,000$ and a loan of $$360,000$ without a compensating balance. The interest rate on the $$360,000$ loan is $10\mathrm{.}0$ percent.

How low would the interest rate on the loan with the compensating balance have to be for you to choose it$?$