Question

In: Finance

You know that the one-year call on Rump Gumb stock with a strike price of $65...

You know that the one-year call on Rump Gumb stock with a strike price of $65 is priced at $2.20 while the one-year put on the Rumb Gumb stock with a strike price of $65 is priced at $11.18. The annual risk-free rate is 3.8 percent, compounded continuously.

Can you find the current price of Rumb Gumb stock? What is it?

Solutions

Expert Solution

As per put call parity
Call price + PV of exercise price = Spot price + Put price
2.2+65*e^(-0.038*1)=Spot price+11.18
Spot price = 53.6

Related Solutions

The current price of a stock is $84. A one-month call option with a strike price...
The current price of a stock is $84. A one-month call option with a strike price of $87 currently sells for $2.80. An investor who feels that the price of the stock will increase is trying to decide between two strategies that require the same upfront cost: Buying 100 shares or buying 3,000 call options (30 call option contracts). How high does the stock price have to rise for the option strategy to be more profitable?
You buy one call and one put with a strike price of $60 for both.  The call...
You buy one call and one put with a strike price of $60 for both.  The call premium is $5 and the put premium is $6. What is the maximum loss from this strategy? [Using positive number for profit, and negative number for loss]
Consider a call option on a stock, the stock price is $23, the strike price is...
Consider a call option on a stock, the stock price is $23, the strike price is $20, the continuously risk-free interest rate is 9% per annum, the volatility is 39% per annum and the time to maturity is 0.5. (i) What is the price of the option? (6 points). (ii) What is the price of the option if it is a put? (6 points) (iii) What is the price of the call option if a dividend of $2 is expected...
A call option with a strike price of $65 costs $8. A put option with a...
A call option with a strike price of $65 costs $8. A put option with a strike price of $58 costs $9. 1) How can a strangle be created? 2) With the strangle created above, what is the profit/loss if the stock price is $41? 3) With the strangle created above, when would the investor gain a positive profit?
17. An one-year European call option has the strike price of $60. The underlying stock pays...
17. An one-year European call option has the strike price of $60. The underlying stock pays no dividend and currently sells for $70. One time step is six months long, and the stock price may move up or down by 10% in each step. The risk-free rate is 3% per annum. (a) What is the risk-neutral probability of an increase in the stock price in each step? (b) What is the time-0 current price of the call? (c) Find the...
The price of a stock is $40. The price of a one-year put with strike price...
The price of a stock is $40. The price of a one-year put with strike price $30 is $0.70 and a call with the same time to maturity and a strike of $50 costs $0.50. Both options are European. (a) An investor buys one share, shorts one call and buys one put. Draw and comment upon the payoff of this portfolio at maturity as a function of the underlying price. (b) How would your answer to (a) change if the...
2) The current price of a stock is $84. A one-month call option with a strike...
2) The current price of a stock is $84. A one-month call option with a strike price of $87 currently sells for $2.80. An investor who feels that the price of the stock will increase is trying to decide between two strategies that require the same upfront cost: Buying 100 shares or buying 3,000 call options (30 call option contracts). How high does the stock price have to rise for the option strategy to be more profitable?
You purchased a call option for an Apple stock with the strike price of $110. The...
You purchased a call option for an Apple stock with the strike price of $110. The option premium was $1. You held the option until maturity, when the price for each share of Apple was $111. Your payoff at maturity was_____. -$2. $-1 $1 $0
You buy a call with a strike price of $100 on stock that you have shorted...
You buy a call with a strike price of $100 on stock that you have shorted at $100 (this is a “protective call”). What are the expiration date profits to this position for stock prices of $90, $95, $100, $105, and $110 if the call premium is $6.50? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your call profit and...
A call on a stock with stock price $25.93 has a strike price $22 and expiration...
A call on a stock with stock price $25.93 has a strike price $22 and expiration 230 days from today, available for a premium of $7. The stock also has a put with the same strike price and expiration as the above call, available for a put premium of $3.56. Both options are European, there are no dividends paid on the stock, and the interest rate for the expiration period is 8% per year. How much could you make per...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT