3. You are valuing options on SPY. SPY is currently trading at $440 and has volatility of 20%. You are considering calls and puts with four months until expiration. LIBOR over this period is 6%. Value both a European and an American version of a call option with a strike price of $450. Also value European and American versions of a put option with a strike price of $450. Use a twosubperiod tree as illustrated below. 3. You are valuing options on SPY. SPY is currently trading at $440 and has volatility of 20%. You are considering calls and puts with four months until expiration. LIBOR over this period is 6%. Value both a European and an American version of a call option with a strike price of $450. Also value European and American versions of a put option with a strike price of $450. Use a twosubperiod tree as illustrated below