use the following prices for calls and puts on a stock. The stock, currently priced at $$100,$ pays dividends continuously at a rate of $6\%.$ The continuously compounding risk$-$free rate is $4\%.$ Each option below is a European option that expires in one year. Each option in the problems $1-4$ are also European and expire in one year.

Strike Price K Premium for Call Option with strike K Premium for Put Option with strike K

$9010\mathrm{.}7761\mathrm{.}950$

$957\mathrm{.}5493\mathrm{.}624$

$1005\mathrm{.}0246\mathrm{.}000$

$1053\mathrm{.}1779\mathrm{.}054$

$1101\mathrm{.}91212\mathrm{.}690$