The current price of security MLK is 78. Next period the security will either be worth 120 or 90 . The risk free interest rate is \(33.33 \%\). There are two digital options traded. One pays \(\$ 1\) if MLK is at 120 next period. This option is trading at 0.35 . The other pays \(\$ 1\) if MLK is at 90 next period. This option is trading at 0.40 .

1. Price a put option on MLK with exercise price \(K=90\).

2. Price a put option on MLK with exercise price \(K=100\).

3. Price a call option on MLK with exercise price \(K=100\).

4. Price a call option on MLK with exercise price \(K=120\).