Which do you prefer: a bank account that pays $5\mathrm{.}2\%$ per year $($EAR$)$ for three years or

a$.$ An account that pays $2\mathrm{.}1\%$ every six months for three years?

b$.$ An account that pays $8\mathrm{.}4\%$ every $18$ months for three years?

c$.$ An account that pays $0\mathrm{.}66\%$ per month for three years?

$($Note: Compare your current bank EAR with each of the three alternative accounts. Be careful not to round any intermediate steps less than six decimal places.$)$

If you deposit $$1$ into a bank account that pays $5\mathrm{.}2\%$ per year for three years:

$1.$ The amount you will receive after three years is $$,?($Round to five decimal places.$)$

a$.$ An account that pays $2\mathrm{.}1\%$ every six months for $3$ years?

If you deposit $$1$ into a bank account that pays $2\mathrm{.}1\%$ every six months for three years:

The amount you will receive after three years is $$?($Round to five decimal places.$)$

b$.$ An account that pays $8\mathrm{.}4\%$ every $18$ months for $3$ years?

If you deposit $$1$ into a bank account that pays $8\mathrm{.}4\%$ every $18$ months for three years:

The amount you will receive after three years is $$?($Round to five decimal places.$)$

c$.$ An account that pays $0\mathrm{.}66\%$ per month for three years?

If you deposit $$1$ into a bank account that pays $0\mathrm{.}66\%$ per month for three years

The amount you will receive after three years is $$.($Round to five decimal places.$)$