Please determine the payoff for the following fixed lookback put option, based on the price path summary below: Starting price of underlying (at inception): $25.11 Maximum traded price of underlying: $27.89 Minimum traded price of underlying: $20.75 Terminal price of underlying (at maturity): $26.71 Strike rate, K, (if applicable): $26.16 (Assume continuous price observations)

Please determine the most appropriate payoff formula for the following Floating Lookback put option, based on the price path summary below: Starting price of underlying (at inception): $26.69 Maximum traded price of underlying: $28.38 Minimum traded price of underlying: $24.55 Terminal price of underlying (at maturity): $25.28 Initial strike rate (if applicable): $27.37 (Assume there is only a single price observation only at maturity)

Please determine the payoff for the following knock-in put option, based on the price path summary below: Starting price of underlying (at inception): $101.32 Maximum traded price of underlying: $114.84 Minimum traded price of underlying: $98.35 Terminal price of underlying (at maturity): $103.16 Strike rate, K: $106.47 Barrier, H: $112.86 (Assume continuous price observations)

Please determine the payoff for the following long position in a knock-out call option, based on the price path summary below: Starting price of underlying (at inception): $104.38 Maximum traded price of underlying: $108.97 Minimum traded price of underlying: $98.28 Terminal price of underlying (at maturity): $104.87 Strike rate, K: $104.75 Barrier, H: $99.53 Premium, p: $1.97 (Assume continuous price observations

When ABC was trading at $52 per share, you paid $4.20 for a put option (for one share) on the stock of ABC with a strike price of $50, and six months until maturity. After six months, the share price of ABC is $54.10.What is the value of the put option at expiration? Do not include the $ sign and answer to the nearest $0.01.

A put option has an N(-d1) of 0.5329. You wish to construct a strategy that mimicks the payoff of a short straddle that shares the same strike as the put above, as well as an appropriate underlying position. If your strategy contains 141 put options, determine how many shares you need to buy or sell to achieve this goal. If you need to buy shares, please input a positive (whole) number. If you need to sell shares, please input a negative (whole) number.