I need help finding the portfolio values with options.

A put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $24. If six months later, the stock price per share is $24 or more, the option has no value. If in six months the stock price is lower than $24 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $24. If the price per share in SIX months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $24. Your profit would be the difference, $24 $22.50 = $1.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $1.50 $1.00 $0.50 per share. The point of purchasing a European option is to limit the risk of a decrease in the per-share price of the stock. Suppose you purchased 250 shares of the stock at $27 per share and go six-month European put options with an exercise price of $24. Each put option costs $1. (a) Using data tables, construct a model that shows the value of the portfolio with options and without options for a share price in six months between $15 and $35 per share in increments of $1.00. European Put Option Share Price S1500 Sijoo Simoo S1800 signo S20 oo S21 oo S2200 S2300 S2400 S2500 S200 S2noo S2800 s2gao S30 oo S31 oo S3200 S3300 S3400 S3500 Value with Options Value without Options (b) Discuss the value of the portfolio with and without the European put options. beneficial the put options. The options are worth nothing at a stock price of The lower the stock price, the lower or bt::::: . There is a benefit from the put options to the value of the portfolio for stock prices $$ X or