Question

In: Finance

A stock price is currently $50. It is known that at the end of two months...

A stock price is currently $50. It is known that at the end of two months it will be either $53 or $48. The risk-free interest rate is 10% per annum with continuous compounding. Use no arbitrage arguments. a) Whatisthevalueofatwo-monthEuropeanputoptionwithastrikepriceof$50? b) How would you hedge a short position in the option?

Solutions

Expert Solution

b) This risk can be mitigated by using call options to hedge the risk of a runaway advance in the shorted stock.Hedging refers to buying an investment designed to reduce the risk of losses from another investment. Investors will often buy an opposite investment to do this, such as by using a put option to hedge against losses in a stock position, since a loss in the stock will be somewhat offset by a gain in the option By using this way we can hedge a short position in the option.

(note-Most of the symbols can not type in this word. So that I made a handwritten note...)

ThankYou....


Related Solutions

A stock price is currently $50. It is known that at the end of two months...
A stock price is currently $50. It is known that at the end of two months it will be either $53 or $48. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a two-month European call option with a strike price of $49?
:A stock price is currently $50. It is known that at the end of six months...
:A stock price is currently $50. It is known that at the end of six months it will be either $52 or $48. The risk-free interest rate is 5% per annum with continuous compounding. What is the value of a six-month European call option with a strike price of $50? Verify that no-arbitrage arguments and risk-neutral valuation arguments give the same answers. .
The stock price is currently $70. It is known that at the end of three months...
The stock price is currently $70. It is known that at the end of three months it will be either $72 or $68. The risk-free interest rate is 10% per annum with continuously compounding. 1. What is the value of a three-month European call option with a strike price of $70 using the no-arbitrage argument? 2. What is the value of a three-month European call option with a strike price of $70 using the risk-neutral valuation?
A stock price is currently $80. It is known that at the end of four months...
A stock price is currently $80. It is known that at the end of four months it will be either $75 or $88. The risk free rate is 6 percent per annum with continuous compounding. What is the value of a four–month European put option that is currently $1 out-of-the-money? Use no-arbitrage arguments.
A stock price is currently $50. It is known that at the end of one year...
A stock price is currently $50. It is known that at the end of one year it will be either $40 and $60. The exercise price of a one-year European call option is $55. The risk-free interest rate is 5% per annum. Construct a binomial tree to show the payoff of the call option at the expiration date. (5%) Based on the binomial tree model, what is the value of the call option? (15%) Address the relation between the binomial...
A stock price is currently $50. It is known that at the end of one year...
A stock price is currently $50. It is known that at the end of one year it will be either $40 and $60. The exercise price of a one-year European call option is $55. The risk-free interest rate is 5% per annum. a. Construct a binomial tree to show the payoff of the call option at the expiration date. b. Based on the binomial tree model, what is the value of the call option? c. Address the relation between the...
A stock price is currently $50. It is known that at the end ofone year...
A stock price is currently $50. It is known that at the end of one year it will be either $40 and $60. The exercise price of a one-year European call option is $55. The risk-free interest rate is 5% per annum. Construct a binoamial tree to show the payoff of the call option at the expiration date. (5%) Based on the binomial tree model, what is the value of the call option? (15%) Address the relation between the binomial...
A stock price is currently $50. It is known that at the end of one year...
A stock price is currently $50. It is known that at the end of one year it will be either $40 and $60. The exercise price of a one-year European call option is $55. The risk free interest rate is 5% per annum. a. construct a binomial tree to show the payoff of the call option at the expiration date. b. based on the binomial tree model, what is the value of the call option? c. Address the relation between...
A stock price is currently $50. It is known that at the end of one month...
A stock price is currently $50. It is known that at the end of one month it will be either $55 or $45. The risk-free interest rate is 6% per annum with continuous compounding. What is the value of a one-month European call option with a strike price of $48?
A futures price is currently 120. It is known that at the end of three months...
A futures price is currently 120. It is known that at the end of three months the price will be either 100 or 140. What is the value of a three-month European call option on the futures with a strike price of 122 if the risk-free interest rate is 5% per annum (continuously compounded)? How would you hedge this option if you sold it? please show all work
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT