Use the following December $31,2021,$ market value balance sheet for Bank One to answer the questions below.

$3.$ The bank's manager thinks rates will increase by $0\mathrm{.}5\%$ in the next three months. To hedge this interest rate risk, the manager will use T$-$bond future contracts. The T$-$bonds underlying the futures contracts have a maturity of $15$ years, a duration of $14\mathrm{.}25$ years, and a price of $$107,312,50.$ Assume that interest rate changes in the futures market relative to the cash market are such that $br=0\mathrm{.}885.$

Calculate the numbjer of futures contracts needed to hedge the bank's interest rate risk $($round to the nearest whole contract$).$