Question

In: Finance

Exercise 1. An investor has a short position in a European put on a share for...

Exercise 1.

An investor has a short position in a European put on a share for $4. The stock price is $40 and the strike price is $41.

(a). Suppose now the investor enters also into a long position of put option with strike price $39. This put is on the same underlying and has the same maturity time. Describe the total payoff to the trader, via a payoff table or payoff diagram.

Solutions

Expert Solution

Put option
Put option provide right but not obligation to sale.
Put writer/ seller Put writer must have to perform or purchase share/ stock on underlying price.
Put holder/purchaser Have right but not obligation to perform.
Investor position
Position Market price < Strike price Market price =Strike price Market price >Strike price
Put holder/purchaser
Profit Strike price-market price- premium paid
Loss Premium paid Premium paid
Put writer/ seller
Profit Premium received Premium received
Loss Strike price-market price- premium received
Payoff table for put holder with strike price =41
Putholder exercise his option only when market price lower than strike price otherwise he has no obligation to perform.
Market Price 1 41 100
Position Market price < Strike price Market price =Strike price Market price >Strike price
Profit calculation 41-1-4 Option will not be exercised.
Profit 36
Loss calculation 41-41-4
Loss -4 -4
Payoff table for put holder with strike price =39
For put writer it is must to perform when prices goes down else option will not be exercised by buyer and writer will receive the premium amount.
Market Price 1 39 100
Position Market price < Strike price Market price =Strike price Market price >Strike price
Profit calculation 39-39-4 Option will not be exercised by buyer.
Profit 4 4
Loss calculation (39-1-4)
Loss -34

Related Solutions

An investor has ashort position inEuropean put on a share for 4$. The stock price is...
An investor has ashort position inEuropean put on a share for 4$. The stock price is $40 and the strike price is $42 (a) Under what circumestances will the option be exercised? (b) Under what circumstance does the investor make aprofite? (c)Draw apayoff diagram plotting the investor's payoff as afunction ofST. (Draw aprofit diagram plotting the investor's profit as a function of ST (e)Suppose now the investor enters also into a long position of put option with strike price $39...
An investor sells a European put on a share for $8. The current stock price is...
An investor sells a European put on a share for $8. The current stock price is $57 and the strike price is $60. (a) Under what circumstances will the investor make a profit (have positive profit) on the expiration date? (b) Under what circumstances will the option be exercised on the expiration date? (c) Please draw a diagram showing how the investor’s profit depends on the stock price on the expiration date. To put it another, draw a diagram showing...
Consider an investor with a position consisting of 1 long European call and 1 long European...
Consider an investor with a position consisting of 1 long European call and 1 long European put, both having strike price of $50. The current underlying asset price is $50. The call price is $3 and the put price is $2. With this position, if the stock price at maturity is above ___AND below___, the investor CANNOT make a profit.
The owner of a European put option on a share has the right, but not the...
The owner of a European put option on a share has the right, but not the obligation, to sell one share for a fixed price known as the option’s strike price, on a fixed date known as the option’s expiry date. If the share price equals S on the option’s expiry date then the option’s payoff function is the larger of 0 and K − S, where K is the option’s strike price. This question illustrates what we can learn...
QUESTION 1: What are the terminal payoffs of a European long call and European short put?...
QUESTION 1: What are the terminal payoffs of a European long call and European short put? QUESTION 2: What is an executive stock option? why companies offer it to the executives?
Assume that an investor opens a 300-share short position in XYZ common stock at $30.21 with...
Assume that an investor opens a 300-share short position in XYZ common stock at $30.21 with commission of 0.55%. When you close your position the stock price is $29.76 and you have to pay a commission rate of 0.55%. Calculate the investor's profit on this short investment (assume r=0).
1-month European put option for Apple (AAPL) with a strike price of $235/share sells for $10/share...
1-month European put option for Apple (AAPL) with a strike price of $235/share sells for $10/share when Apple stock trades at $225/share. Each contract is for 100 shares of Apple stock. Draw a diagram showing the payoff and profit for the investor under different stock prices at maturity. What is the profit break-even stock price for the investor? If Apple share prices at maturity ends up being $230/share how much profit/loss will the investor make/incur? a. If Apple share price...
An investor has just taken a short position in a one-year forward contract on a dividend...
An investor has just taken a short position in a one-year forward contract on a dividend paying stock. The stock is expected to pay a dividend of $2 per share in five months and in eleven months. The stock price is currently selling for $100 and the risk-free rate of interest is 8.50% per year with continuous compounding for all maturities. a.  What are the forward price and the initial value of the forward contract? The forward price is (sample answer:...
An investor has just taken a short position in a one-year forward contract on a dividend...
An investor has just taken a short position in a one-year forward contract on a dividend paying stock. The stock is expected to pay a dividend of $2 per share in five months and in eleven months. The stock price is currently selling for $100 and the risk-free rate of interest is 8.50% per year with continuous compounding for all maturities. a. What are the forward price and the initial value of the forward contract? The forward price is (sample...
A European PUT option written on one share of Deadwood Lumber Co. stock has the following...
A European PUT option written on one share of Deadwood Lumber Co. stock has the following parametervalues: S = $28, X = $30, r = 5% p.a., = 40% p.a., T = 12 months. Find the premium of this option, rounded to 2 decimals (e.g., 1.15; do NOT include a dollar sign in your answer). NOTE: Use the continuous time version of the Black-Scholes and Put-Call Parity equations
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT