$1.$ A deposit of $$10,000$ is made in a bank for $1$ year. The bank offers $2$ options;A$.$ Receive interest @ $12\%$ P$.$A$.$ compounded monthlyB. Receive interest @ $12\mathrm{.}25\%$ P$.$A$.$ compounded half yearlyWhich option should be preferred?$2.$ A company is borrowing $$2,000,000$ from a bank for expansion of its business. The banks gives it two options:A$.$ Return the money in $5$ equal annual instalments @ $10\%$ P$.$A$.$B$.$ Return the money in equal half yearly instalments over a period of $5$ years @ $9\mathrm{.}8\%$ P$.$A$.$Which option should be preferred?