$1)$ A bank makes long$-$term fixed$-$rate loans, and funds itself with floating short$-$term deposits. It can best manage its vulnerability to interest rate changes by

$($a$)$ Entering into a basis $($floating$-$floating$)$ swap.

$($b$)$ Entering into a pay$-$floating$/$receive$-$fixed interest rate swap.

$($c$)$ Entering into a pay$-$fixed$/$receive$-$floating interest rate swap.

$($d$)$ Entering into a fixed$-$fixed swap where the two legs have different payment frequencies.

$2)$ You enter into a $$100$ million notional swap to pay six$-$month Libor and receive $8\%$ fixed. Payment dates are semi$-$annual on both legs. The last payment date was March $25$ and the next payment date is September $25.$ There are $184$ days between March $25$ and September $25.$ Floating payments are based on the USD money$-$market convention, and fixed payments are based on the $30/360$ convention. If the floating rate was reset to $6\%$ on March $25,$ what is the net amount you will receive on September $25?$

$($a$)$ $$933,333$

$($b$)$ $$966,667$

$($c$)$ $$1,000,000$

$($d$)$ $$1,066,667$

$3)$ In terms of notional amount, the largest swaps market is

a$.$Currency swaps

b$.$Equity swaps

c$.$Commodity swaps

d$.$Interest rate swaps