Two months ago the Italian bank Unicredit signed a $3$ months forward contract with Fiat promising to deliver USD $13\mathrm{.}500\mathrm{.}000$ against payment by Fiat of EUR $10\mathrm{.}000\mathrm{.}000.$ Unicredit now has decided that it wants to use a swap to move its contractual obligations one month further into the future. Another European bank, Santander offers the following rates for USD$-$ EUR swaps one month forward: $30-$day $60-$day EUR$/$USD $0\mathrm{.}7520-0\mathrm{.}75248/6$

$($a$)$ What contract should Unicredit sign with Santander and what would the rates $($terms$)$ be of such a contract?

$($b$)$ Illustrate the flows between Santander, Unicredit and Fiat, using a diagram