Adam is a speculator. He has $$10$ million to start with and he must state all profits at the end of any speculation in U$.$S$.$ dollars. The spot rate on the euro is $$1\mathrm{.}3350/,$ while the $30-$day forward rate is $$1\mathrm{.}3350/.$

a$.$ If Adam believes the euro will appreciate against the U$.$S$.$ dollar, so that he expects the spot rate to be $$1\mathrm{.}3600/$ at the end of $30$ days, what should he do$?$

b$.$ If Adam believes the euro will depreciate against the U$.$S$.$ dollar, so that he expects the spot rate to be $$1\mathrm{.}2800/$ at the end of $30$ days, what should he do$?$