Evaluate the following: i) Of two American put option which are identical except for term to maturity, the one with the shorter term to maturity cannot be worth less than the other. ii) The writer of an option cannot have a negative payoff. iii) A European call option cannot be worth less than an American call option written on the same stock with the same exercise price and maturity date. iv) Of two European call options which are identical except for term to maturity, the one with the longer term to maturity cannot be worth less than the other. v) In an MM world adjusted for corporate and personal taxes, if the term ((1-tc) (1-tE))/(1-tD) Is greater than one then the firm should be all debt. Note tc = corporate tax rate, tE = personal tax rate on equity income, tD = personal tax rate on debt income.