The price of a long position of a stock in your portfolio is $20. You decide...
The price of a long position of a stock in your portfolio is $20. You decide to buy a put with a strike price of $17.50 worth $2 and sell a call with a strike price of $22.50 also worth $2. Then you have created:
Homework Answers
If i buy a stock and a put option , and sell a call option then i have created a Collar, which is a combination of covered call and protective put.
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The price of a long position of a stock in your portfolio is
$20. You decide...
Assume the Black-Scholes framework for options pricing. You are a portfolio manager and already have a...
Assume the Black-Scholes framework for options pricing. You are a portfolio manager and already have a long position in Apple (ticker: AAPL). You want to protect your long position against losses and decide to buy a European put option on AAPL with a strike price of $180.15 and an expiration date of 1-year from today. The continuously compounded risk free interest rate is 8% and the stock pays no dividends. The current stock price for AAPL is $200 and its...
Problem 6. A portfolio contains a long position in a call option with strike price $50,...
Problem 6. A portfolio contains a long position in a call option with strike price $50, a short position in a call option with strike price $45, a long position in a call option with strike price $35, a short position in a call option with strike price S30. All the options are on the same stock and have the same expiration time. Find a formula for the value of the portfolio, V (S, t). Construct the pay-off function
Suppose you buy 100 shares of Google stock which has a current price of $1,265.13 a...
Suppose you buy 100 shares of Google stock which has a current price of $1,265.13 a share. You want to ensure that you do not lose more than $200 a share. Which of the following option strategies would allow you to do this? A. A covered call B. A naked call C. A protective put D. You cannot ensure that you will not have losses with stocks Suppose I buy 100 shares of AMD and want to limit my losses...
Suppose, you are an investment broker. Your client wants to take five option positions on the...
Suppose, you are an investment broker. Your client wants to take five option positions on the stock of Plumbus. The stock is currently trading at $40. (1) She wants to buy a call option with a strike price of $40 at an option price of $4. (2) She also wants to buy a put option with a strike of $45 at an option price of $10. (3) She also wants to sell a second call option with a strike of...
It is July and Toyota's stock price is 16,561 on the Tokyo Stock Exchange. Your analysis...
It is July and Toyota's stock price is 16,561 on the Tokyo Stock Exchange. Your analysis suggests that Toyota's stock is overvalued and is worth 9% less than it trades for today. There are September expiration call and put options with a strike of ¥6300. The call premium is 390 per share and the put premium is ¥121 per share. The contract is for 1,000 shares. You decide to speculate on Toyota based on your analysis by buying three contracts...
Assume the following premia: Strike $950 Call $120.405 93.809 84.470 71.802 51.873 Put $51.777 74.201 1000...
Assume the following premia: Strike $950 Call $120.405 93.809 84.470 71.802 51.873 Put $51.777 74.201 1000 1020 84.470 101.214 1050 1107 137.167 I 1) Suppose you invest in the S&P stock index for $1000, buy a 950-strike put, and sell a 1050- strike call. Draw a profit diagram for this position. What is the net option premium? 2) Here is a quote from an investment website about an investment strategy using options: One strategy investors apply is a "synthetic stock."...
a) You have written a call option on 1 share of A Street stock that is...
a) You have written a call option on 1 share of A Street stock that is worth $15. You expect the price of the stock to either move to $20 or $10 over the next year. How many shares of A Street stock should you own to perfectly hedge your position on the call option? The strike price on the option is $15. b) If the one-year risk-free interest rate is 10% and the strike price on the option is...
To create a (long) synthetic stock, you should... A. Buy the call, deposit the present value...
To create a (long) synthetic stock, you should... A. Buy the call, deposit the present value of the strike in a risk free bank account and write a put (for the same strike and expiration as the call) . B. Buy the call take out a loan in the amount of PV(X) and buy a put (for the same strike and expiration as the call). C. Sell a call, borrow the present value of the strike, and buy a put...
A stock price is currently $20. It is known that at the end of one month that the stock price wil...
A stock price is currently $20. It is known that at the end of one month that the stock price will either increase to 22 or decrease to 16. The risk-free interest rate is 12% per annum with continuous compounding. The hedge portfolio is a long position in Δ shares of stock plus one short Euorpean call option with strike price of $20 and expiration in 1 month. Using the no-arbitrage method, what is the present value of this hedge...
17. The current price for a stock index is 1,000. The following premiums exist for various options to buy or sell the s...
17. The current price for a stock index is 1,000. The following premiums exist for various options to buy or sell the stock index six months from now: Strike Price Call Premium Put Premium 950 120.41 51.78 1,000 93.81 74.20 1,050 71.80 101.21 Strategy I is to buy the 1,050-strike call and to sell the 950-strike call. Strategy II is to buy the 1,050-strike put and to sell the 950-strike put. Strategy III is to buy the 950-strike call, sell...
Assume the Black-Scholes framework for options pricing. You are a portfolio manager and already have a long position in Apple (ticker: AAPL). You want to protect your long position against losses and decide to buy a European put option on AAPL with a strike price of $180.15 and an expiration date of 1-year from today. The continuously compounded risk free interest rate is 8% and the stock pays no dividends. The current stock price for AAPL is $200 and its...
Problem 6. A portfolio contains a long position in a call option with strike price $50, a short position in a call option with strike price $45, a long position in a call option with strike price $35, a short position in a call option with strike price S30. All the options are on the same stock and have the same expiration time. Find a formula for the value of the portfolio, V (S, t). Construct the pay-off function
It is July and Toyota's stock price is 16,561 on the Tokyo Stock Exchange. Your analysis suggests that Toyota's stock is overvalued and is worth 9% less than it trades for today. There are September expiration call and put options with a strike of ¥6300. The call premium is 390 per share and the put premium is ¥121 per share. The contract is for 1,000 shares. You decide to speculate on Toyota based on your analysis by buying three contracts...
Assume the following premia: Strike $950 Call $120.405 93.809 84.470 71.802 51.873 Put $51.777 74.201 1000 1020 84.470 101.214 1050 1107 137.167 I 1) Suppose you invest in the S&P stock index for $1000, buy a 950-strike put, and sell a 1050- strike call. Draw a profit diagram for this position. What is the net option premium? 2) Here is a quote from an investment website about an investment strategy using options: One strategy investors apply is a "synthetic stock."...
A stock price is currently $20. It is known that at the end of one month that the stock price will either increase to 22 or decrease to 16. The risk-free interest rate is 12% per annum with continuous compounding. The hedge portfolio is a long position in Δ shares of stock plus one short Euorpean call option with strike price of $20 and expiration in 1 month. Using the no-arbitrage method, what is the present value of this hedge...
17. The current price for a stock index is 1,000. The following premiums exist for various options to buy or sell the stock index six months from now: Strike Price Call Premium Put Premium 950 120.41 51.78 1,000 93.81 74.20 1,050 71.80 101.21 Strategy I is to buy the 1,050-strike call and to sell the 950-strike call. Strategy II is to buy the 1,050-strike put and to sell the 950-strike put. Strategy III is to buy the 950-strike call, sell...
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