Suppose that there are two possible states of the economy, A and B, in year T....
Suppose that there are two possible states of the economy, A and
B, in year T. A stock's price in year
T will depend on the economic state as in the table below. A
risk-free bond currently sells for $8 and
it will pay $10 in year T in every state.
| State A | State B | |
| stock | $150 | $80 |
| bond | $10 | $10 |
In addition, we also see a year-T European call option on the stock
above. The call has the strike price
of $100 and currently sells for $20. What is the current stock
price?
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Suppose that there are two possible states of the economy, A and B, in year T....
Suppose that there are two possible states of the economy, A and B, in year T....
Suppose that there are two possible states of the economy, A and B, in year T. A stock’s price in year T will depend on the economic state as in the table below. A risk-free bond currently sells for $8 and it will pay $10 in year T in every state. state a state b stock $150 $80 bond $10 $10 In addition, we also see a year-T European call option on the stock above. The call has the strike...
In time 0, an investor takes a calendar spread by selling two-year European call option and...
In time 0, an investor takes a calendar spread by selling two-year European call option and buying three-year European call option. These two options have the same strike price of $80 and are for the same stock that pays no dividends. The two-year option sells for $5 and the three-year option sells for $7. Two years later, the stock price turns out to be $90. The risk-free rate is 2% per annum. What is the minimum of the profit from...
In time 0, an investor takes a calendar spread by selling two-year European call option and...
In time 0, an investor takes a calendar spread by selling two-year European call option and buying three-year European call option. These two options have the same strike price of $80 and are for the same stock that pays no dividends. The two-year option sells for $5 and the three-year option sells for $7. Two years later, the stock price turns out to be $90. The risk-free rate is 2% per annum. What is the minimum of the profit from...
A one-year European call option on Stanley Industries stock with a strike price of $55 is...
A one-year European call option on Stanley Industries stock with a strike price of $55 is currently trading for $75 per share. The stock pays no dividends. A one-year European put option on the stock with a strike price of $55 is currently trading for $100. If the risk-free interest rate is 10 percent per year, then what is the current price on one share of Stanley stock assuming no arbitrage?
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...
4) A nine-month European call option is written on a stock that provides a continuous dividend...
4) A nine-month European call option is written on a stock that provides a continuous dividend yield of 4%; the strike price is $110, the risk-free rate is 2% and the stock's volatility is 30%. Assume that the stock is currently selling for $115. What is the price of the call?
1. A stock price is currently $100. Over each of the next two six-month periods it...
1. A stock price is currently $100. Over each of the next two six-month periods it is expected to go up by 10% or down by 10%. The risk-free rate is 8% per annum with continuous compounding. (a) What is the value of a one-year European call option with a strike price of $100? (b) What is the value of a one year European put option with a strike price of $100? (c) What is the value of a one-year...
Problem1 A stock is currently trading at S $40, during next 6 months stock price will increase to $44 or decrease to $32-6-month risk-free rate is rf-2%. a. [4pts) What positions in stock and T-...
Problem1 A stock is currently trading at S $40, during next 6 months stock price will increase to $44 or decrease to $32-6-month risk-free rate is rf-2%. a. [4pts) What positions in stock and T-bills will you put to replicate the pay off of a European call option with K = $38 and maturing in 6 months. b. 1pt What is the value of this European call option? Problem 2 Suppose that stock price will increase 5% and decrease 5%...
Consider a three-year European call option with the strike price of $150. The underlying stock will...
Consider a three-year European call option with the strike price of $150. The underlying stock will pay $10-dividend two years later from now. The current stock price is $170. The risk-free rate is 3% per annum. Find the range of the call prices that do not allow any arbitrage.
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...
4) A nine-month European call option is written on a stock that provides a continuous dividend yield of 4%; the strike price is $110, the risk-free rate is 2% and the stock's volatility is 30%. Assume that the stock is currently selling for $115. What is the price of the call?
Problem1 A stock is currently trading at S $40, during next 6 months stock price will increase to $44 or decrease to $32-6-month risk-free rate is rf-2%. a. [4pts) What positions in stock and T-bills will you put to replicate the pay off of a European call option with K = $38 and maturing in 6 months. b. 1pt What is the value of this European call option? Problem 2 Suppose that stock price will increase 5% and decrease 5%...
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