i$).$ European Call Option parameters:

Today's date: December $7$th$,2023$

Stock Price $($S$)$: $20\mathrm{.}00$

Exercise Price $($X$)$: $23\mathrm{.}00$

Expiration Date $($T$)$: December $7$th$,2024$ t$=1$

Interest Rate $($r$)$: $5\%$

Volatility $(\backslash$sigma $)$: $35\%$

c$=$ S$*$N$($d$1)-$X$*$e$(-$rt$)*$N$($d$2)$

d$1=[$ln$($S$/$X$)+($r $+(1)/(2)\backslash$sigma $2)*$t$]/(\backslash$sigma $*$t$1/2)$

d$1=$

d$2=$

N$($d$1)=$NORMSDIST$($d$1)$

N$($d$2)=$NORMSDIST$($d$2)$

c$=?$

$($ii$)$ Underline the correct option and explain in $1-2$ sentences:

$$AMERICAN CALL option with exactly the same parameters as the option analyzed in part $($i$)$ would have greater$/$equal$/$lower value

than the value of the option analyzed in part $($i$).$