Question

A call and a put are held in a portfolio, having an exercise price of $150,...

A call and a put are held in a portfolio, having an exercise price of $150, the premium for the call is $5.00, the premium for the put is $2.00, and the risk free rate is 6%.

A. Using continuous compounding what is the Spot price of the stock if both options expire in 3 years

B. Using monthly compounding, what is the Spot price of the stock if both options expire in 3 years?

Show formula

Homework Answers

Answer #1

A. Continuous compounding:

We can compute the spot price of the stock using Put-Call Parity equation:

where,

S = spot price of the stock

C = Call premium

X = exercise price

P = Put premium

r = risk free rate

t = maturity

B. Monthly compounding:

We can compute the spot price of the stock using Put-Call Parity equation:

where,

S = spot price of the stock

C = Call premium

X = exercise price

P = Put premium

r = risk free rate

t = maturity

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A call and a put are held in a portfolio, both have an exercise price of...
A call and a put are held in a portfolio, both have an exercise price of $140 Premium for the call is $5.00 Spot price of the stock is $145, and the risk free rate is 4%. A. Using continuous compounding, what is the Premium of the Put if both options expire in 2.5 years? B. Using monthly compounding, what is the Premium of the Put if both options expire in 2.5years? C. Does the Put-Call Parity equation work when...
A call and a put are held in a diversed portfolio & they both have an...
A call and a put are held in a diversed portfolio & they both have an exercise price of $140 The Spot price of the stock is $100 Risk free rate is 6%. Use Put-Call Parity for A& B A. The premium for the Call is $15.00, what is the Premium for the Put, given both options expire in 1.5 years? B. The Premium for the Put is $3.00 and both options expire in 3.5 years, then how much is...
Exercise price $150 Spot Price $110 Risk rate is 5% Using Put-Call Parity & continuous compounding...
Exercise price $150 Spot Price $110 Risk rate is 5% Using Put-Call Parity & continuous compounding A. If the premium for the Call is $12.00,what is the Premium for the Put, given both options expire in 1.5 years? B If the Premium for the Put is $3.00 and both options expire in 3.5 years, then how much is the Premium for the Call option? Using excel!
A stock sells for $60 and the risk free rate of interest is 5 percent. A...
A stock sells for $60 and the risk free rate of interest is 5 percent. A call and a put on this stock expire in one year and both options have an exercise price of $55. How would you trade to create a synthetic call option? If the put sells for $3, how much is the call option worth ? Assume continuous compounding?
A call and put expire in 0.41 year and have an exercise price of $100. The...
A call and put expire in 0.41 year and have an exercise price of $100. The underlying stock is worth $90 and has a standard deviation of 0.25. The annual risk-free rate is 11 percent. The annual dividend yield (q) on the stock is 2%. The put option price from the three-period binomial model is: 8.67 9.467 9.207 7.593
A call and put expire in 0.41 year and have an exercise price of $100. The...
A call and put expire in 0.41 year and have an exercise price of $100. The underlying stock is worth $90 and has a standard deviation of 0.25. The annual risk-free rate is 11 percent. The annual dividend yield (q) on the stock is 2%. The put option price from the three-period binomial model is: 8.67 9.467 9.207 7.593
You purchase 100 put options on a stock with exercise price of $52 at a premium...
You purchase 100 put options on a stock with exercise price of $52 at a premium of $4.30 per put. You also purchase 100 call options on the same stock with exercise price of $54 and call premium of $5.10 per call. If at expiration of the options (the options expire on the same date), the stock's price is $52.79, calculate your profit. According to put-call parity, the present value of the exercise price is equal to the: A. Stock...
Portfolio of options on shares of a non-dividend paying stock. The portfolio consists of: Long call...
Portfolio of options on shares of a non-dividend paying stock. The portfolio consists of: Long call with a strike price of 50 Short call with a strike price of 55 Long put with a strike price of 55 Short put with a strike price of 50 All options expire in 2 months.The current price of one share of stock is 48.00. The risk-free interest rate is 3%. 1. Determine the cost of the portfolio? 2. Determine the maximum and minimum...
For a European call option and a European put option on the same stock, with the...
For a European call option and a European put option on the same stock, with the same strike price and time to maturity, which of the following is true? A) Before expiration, only in-the-money options can have positive time premium. B) If you have a portfolio of protected put, you can replicate that portfolio by long a call and hold certain amount of risk-free bond. C) Since both the call and the put are risky assets, the risk-free interest rate...
For a European call option and a European put option on the same stock, with the...
For a European call option and a European put option on the same stock, with the same strike price and time to maturity, which of the following is true? A) When the call option is in-the-money and the put option is out-of-the-money, the stock price must be lower than the strike price. B) The buyer of the call option receives the same premium as the writer of the put option. C) Since both the call and the put are risky...