The FOMC has instructed the FRBNY Trading Desk to purchase $$340$ million in US$.$ Treasury securities$.$ The Federal Reserve has

currently set the reserve requirement at $5$ percent of transaction deposits. Assume U$.$S$.$ banks withdraw all excess reserves and give

out loans.

a$.$ Assume also that borrowers eventually return all of these funds to their banks in the form of transaction deposits. What is the full

effect of this purchase on bank deposits and the money supply?

b$.$ What is the full effect of this purchase on bank deposits and the money supply if borrowers return only $95$ percent of these funds to

their banks in the form of transaction deposits?

$($For all requirements, enter your answers in billions. Round your final answers to $2$ decimal places. $($i$.$e$.,5,500,000,000$ should be

entered as $5\mathrm{.}50).)$