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 you 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 $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. 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 $26. Your profit would be the difference, $26 - $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 - $1.00 = $2.50 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 200 shares the stock at $28 per share and 85 six-month European put options with an exercise price of $26. 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 $20 and $29 per share in increments of $1.00. What is the benefit of the put options on the portfolio value for the different share prices? For subtractive or negative numbers use a minus sign even if there is a + sign before the blank (Example: -300). If you answer is zero, enter "0". Share Price Benefit of Options $20 $21 $22 $23 $24 $25 $26 $27 $28 $ 350 $ $ $ $ $ $ 280 210 140 70 0 -70 -70 -70 X X

Suppose there is also a 1-year European put option on the same stock as in Question 3 with exercise price $30. The current stock price is also $25 and the stock price, in 1 year, will be either $35 (up by 40%) or $20 (down by 20%). The interest rate is 8%. This stock does not pay dividend. What is the value of the put option? Please use risk neutral probability method and assume discrete discounting.  (2) What is put-call parity in option pricing? What needs to be true in order for put-call parity to hold?

Calculate the European call and put option on the basis of the following data: Consider the following facts regarding Bank Windhoek, which is publicly traded on the Namibian Stock Exchange (NSX): The current stock price is N $18, the exercise price is N $16, the duration of the option is 180 days, the volatility is 35%, and the risk-free rate is 8%. Show all your calculations. 1. What is the value of the European call option? 2. What is the value of the European put option? 3. Comment on the Value for both the European call & put options. 4. Why is a Black Scholes Merton model used to price options

The price of a European call option on a stock with a strike price of $50.9 is $5.6. The stock price is $40.1, the continuously compounded risk-free rate (all maturities) is 5.2% and the time to maturity is one year. A dividend of $0.6 is expected in six months. What is the price of a one-year European put option on the stock with a strike price equal to the call's strike price? Please state the formula and steps, thanks

Previously, you purchased a European put option on Parlicoot Inc shares. The option has just matured. The strike price on the option is 98.17, while the current stock price is 89.19. What is your payoff?

Melbourne Capital Ltd considers selling European call options on ANZ Bank Ltd for $1.50 per option. The current market price is $17.70 on 28th September 2020, the exercise price is $20, and the maturity of each call option is 6 months. (i) Under what circumstances does the investor make a profit?    (ii) Under what circumstances will the option be exercised?   (iii) How many call options should the investor sell to raise a total capital of $1,260,000?