For a share S the market quotes a given strike K in both european andamerican styles....
For a share S the market quotes a given strike K in both european andamerican styles. Use an arbitrage argument to construct a formula relating the price of the european to the price of an american.
Homework Answers
F=(r-I)*T*S
F= Price of Eurpoean
R= Rate at European
I= Rate at American
S= Price of American.
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For a share S the market quotes a given strike K in both
european andamerican styles....
The current price of YBM stock S is $101. European options with a strike price K...
The current price of YBM stock S is $101. European options with a strike price K = $100 and maturing in T = 6 months trade on YBM. The continuously compounded, risk-free interest rate r is 5 percent per year. If the call price c is $7.50 and the put price p is $4.60, then the arbitrage profits that you can make today by trading one contract of each option (one contract is based on 100 shares) are: Please show...
3. (10 pts) For each k e [0, 1,2,..., 301 the symbol S(k) denotes the price of the stock at time k. A European call option with strike 90 and expiration n- 30 costs 15. A European put option with...
3. (10 pts) For each k e [0, 1,2,..., 301 the symbol S(k) denotes the price of the stock at time k. A European call option with strike 90 and expiration n- 30 costs 15. A European put option with strike 100 and expiration 30 costs 11. Both options have the same stock as their underlying security. What is the price of the security whose payoff structure is 7S (30) 630, if S(30) 100, S(30)-30, if 90 S(30) S 100,...
Problem 12. A European call and put option on a stock both have a strike price...
Problem 12. A European call and put option on a stock both have a strike price of $30 and an expiration date in three months. The price of the call is $3, and the price of the put is $2.25. The risk free interest rate is 10% per annum, the current stock price is $31. Indentify the arbitrage opportunity open to a trader.
2. The market price of a 100-share European call option contract is $560. The expiration date...
2. The market price of a 100-share European call option contract is $560. The expiration date of the call option is one year from today. On that date, the price of the underlying stock will be either $50 or $32. The two states are equally likely to occur. Currently, the stock sells for $40; its strike price is $41, Suppose you are able to borrow money at 10 percent per annum. Is there an arbitrage chance? How can you make...
2. The market price of a 100-share European call option contract is $560. The expiration date...
2. The market price of a 100-share European call option contract is $560. The expiration date of the call option is one year from today. On that date, the price of the underlying stock will be either $50 or $32. The two states are equally likely to occur. Currently, the stock sells for $40; its strike price is $41, Suppose you are able to borrow money at 10 percent per annum. Is there an arbitrage chance? How can you make...
A European call option and put option on a stock both have a strike price of...
A European call option and put option on a stock both have a strike price of $45 and an expiration date in six months. Both sell for $2. The risk-free interest rate is 5% p.a. The current stock price is $43. There is no dividend expected for the next six months. a) If the stock price in three months is $48, which option is in the money and which one is out of the money? b) As an arbitrageur, can...
The current price of YBM stock S is $101. European options with a strike price K...
The current price of YBM stock S is $101. European options with a strike price K = $100 and maturing in T = 6 months trade on YBM. The continuously compounded, risk-free interest rate r is 5 percent per year. A dividend of $1.10 is paid out after three months. If the put price p is $4.03, the call price c is:
Consider European call and pit on a non dividend paying stock; both for T=1yr. The stock...
Consider European call and pit on a non dividend paying stock; both for T=1yr. The stock price is $45/share and k=$45/share for both options. The call premium is equal to the put premium c=p= $7/share. The annual risk-free rate is 10%. Use the put-call parity and show that there exist an arbitrage opportunity. Also, show the complete table of cash flows and P/L at the options expiration of a strategy that will create the arbitrage profit in Q2.
XYZ stock is trading at $120 per share, and the company will not pay any dividends...
XYZ stock is trading at $120 per share, and the company will not pay any dividends over the next year. Consider an XYZ European call option and a European put option, both having an exercise price of $124 and both maturing in exactly one year. The simple (annualized) interest rate for borrowing and lending between now and one year from now is 3% for each 6 month period (6.09% per year). Assume that there are no arbitrage opportunities. Is there...
28) 28) For a U.S.trader working in American quotes, if the forward price is higher than...
28) 28) For a U.S.trader working in American quotes, if the forward price is higher than the spot price A) then you should buy at the spot, hold on to it and sell at the forward it's a built-in arbitrage. B) the currency is trading at a discount in the forward market. the currency is trading at a premium in the forward market. D) All of the options it really depends if you're talking American or European quotes. 29) 29)...
3. (10 pts) For each k e [0, 1,2,..., 301 the symbol S(k) denotes the price of the stock at time k. A European call option with strike 90 and expiration n- 30 costs 15. A European put option with strike 100 and expiration 30 costs 11. Both options have the same stock as their underlying security. What is the price of the security whose payoff structure is 7S (30) 630, if S(30) 100, S(30)-30, if 90 S(30) S 100,...
Problem 12. A European call and put option on a stock both have a strike price of $30 and an expiration date in three months. The price of the call is $3, and the price of the put is $2.25. The risk free interest rate is 10% per annum, the current stock price is $31. Indentify the arbitrage opportunity open to a trader.
2. The market price of a 100-share European call option contract is $560. The expiration date of the call option is one year from today. On that date, the price of the underlying stock will be either $50 or $32. The two states are equally likely to occur. Currently, the stock sells for $40; its strike price is $41, Suppose you are able to borrow money at 10 percent per annum. Is there an arbitrage chance? How can you make...
2. The market price of a 100-share European call option contract is $560. The expiration date of the call option is one year from today. On that date, the price of the underlying stock will be either $50 or $32. The two states are equally likely to occur. Currently, the stock sells for $40; its strike price is $41, Suppose you are able to borrow money at 10 percent per annum. Is there an arbitrage chance? How can you make...
28) 28) For a U.S.trader working in American quotes, if the forward price is higher than the spot price A) then you should buy at the spot, hold on to it and sell at the forward it's a built-in arbitrage. B) the currency is trading at a discount in the forward market. the currency is trading at a premium in the forward market. D) All of the options it really depends if you're talking American or European quotes. 29) 29)...
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