$(2\mathrm{.}5$ pes.$)$ Use the binomial model with risk$-$newtal probability to find the dollur valoe today of a $1-$pervod al the$-$money call option on $7300,000.$ The spot cuchange rate is $Y100-$$$1\mathrm{.}00$ is the next period, the yen can increase in dollar value by $15$ percent or decreme by $15$ peroent. The risk$-$frocerate in dollars is is $=5\%$; The risk$-$free rate in yen is by $=1\%.$

a$.(2\mathrm{.}5$ pts$.)$ Find the price of this option if at were a mit intend of a cal

$(2\mathrm{.}5$ pts$.)$ Use the binomial model with risk$-$ntutral probability to find the dollar value today of a $1-$period at$-$the$-$moncy call option on $$300,000.$ The spot exchange rate is $$100-51,00.$ In the next period, the yen can increase in dollar value by $15$ percent or decrease by $15$ percent. The risk$-$froc rate in dollars is is $-5\%$; The risk$-$free rate in yen is $4y=1\%.$

a$.(2\mathrm{.}5$ pts$.)$ Find the price of this option if at were a pat instead of a call