roblem $10-5($LG $10-2)$

udley Savings Bank wishes to take a position in Treasury bond futures contracts, which currently have a quote of $119-100.$ Dudley avings thinks interest rates will go down over the period of investment. The face value of the bond underlying the futures contract $$100,000.$

Should the bank go long or short on the futures contracts?

$.$ Given your answer to part $($a$),$ calculate the net profit to Dudley Savings Bank if the price of the futures contracts increases to $11910.($Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

E$.$ Given your answer to part $($a$),$ calculate the net profit to Dudley Savings Bank if the price of the futures contracts decreases to $118-270.($Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

$\backslash$table$[[$a$.,$The futures contracts,$],[$b$.,$Net profit,$],[$c$.,$Net profit,$]]$