Suppose your firm is seeking a five$-$year, amortizing $$900,000$ loan with annual payments and your bank is offering you the choice between a $$950,000$

loan with a $$50,000$ compensating balance and a $$900,000$ loan without a compensating balance. If the interest rate on the $$900,000$ loan is $9\mathrm{.}5$ percent,

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