Question

In: Finance

What is the option delta? Delta = Spread of Option Price / Spread of Stock price...

What is the option delta? Delta = Spread of Option Price / Spread of Stock price Spread of Option Price = (40 * 1.2) – 40 = 8 Spread of Stock price = (40 * 1.2) – (40 * 0.833) = 14.7 Delta = 8 / 14.7 Delta = 0.544 What is (1,2) and (0.833) it this calculation?

Solutions

Expert Solution

The factors of 1.2 and 0.833 are the upward and downward price movement factors for the stock price, In simpler words, in a risk-neutral two state setup, any upward price movement will be equal to 1.2 times the existing price and any downward price move will be equal to 0.833 times the existing price.

The upward price factor u can be calculated using the following formula:

u = e^[Standard Deviation x (Time)^(1/2)] where standard deviation is the deviation of the returns of the underlying asset and time is the time to maturity of the option.

The downward price factor d equals the reciprocal of u or d = 1/u

As is observable in the example given above: u = 1.2 and d = 1/u = 1/1.2 ~ 0.833


Related Solutions

(Delta-Hedge / No Rebalancing) Suppose a stock price is $50, a call option has a strike...
(Delta-Hedge / No Rebalancing) Suppose a stock price is $50, a call option has a strike price of $50 and the call’s market price is $4. A dealer sells 10 call option contracts (for 1000 option-shares).   The original Delta is .55 (a) What does our basic hedging logic say is the Dealers’ real risk and what should be generally done. (b) To start a Delta Hedge, what should the dealer do NOW, and what should it cost ? (Hint-550 shares)....
Question 4 (a) What is meant by the delta of a stock option? (b) Explain the...
Question 4 (a) What is meant by the delta of a stock option? (b) Explain the no-arbitrage and risk-neutral valuation approaches to valuing a European option using a one-step binomial tree. (c) What does gamma measure? Can the gamma of a derivatives portfolio be changed by taking a position in the underlying asset? Explain your answer. (d) Explain why margin accounts are required when clients write options but not when they buy options.
Bull call spread strategy: The current stock price of is $78.91, you buy a call option...
Bull call spread strategy: The current stock price of is $78.91, you buy a call option with the expiration of August 21, with the strike price of 72.50$ with ask $11.30, then sell a call for 82.50$ with bid $5.40. You buy a 44 contracts of each call option, with a multiplier of 100. Net Debit: paying $49,720(1,130*44 contracts) and receiving $23,760(540*44)= $25,960 You liquidate the options before expiration on May 20. The stock price on May 20 is 98$....
What is an option delta? If delta is 0.5 what does this mean? How does delta...
What is an option delta? If delta is 0.5 what does this mean? How does delta change when the option is in-the-money, at-the-money, and out-of-the-money
What is the price of a European call option in a non-dividend-paying stock when stock price...
What is the price of a European call option in a non-dividend-paying stock when stock price is $52, the strike price is $50, the risk-free interest rate is 12% per annum, the volatility is 30% per annum, and the time to maturity is three months? What is the price of the call option? (No need to show work, but you need to report values of N(d1),n(d2) and price of the call option)
If the option adjusted spread is above the z spread, what type of bond are we...
If the option adjusted spread is above the z spread, what type of bond are we looking at? a) callable b) puttable c) government issued
A bull spread strategy is created by buying a European call option on a stock with...
A bull spread strategy is created by buying a European call option on a stock with a certain strike price and selling a European call option on the same stock with a higher strike price. Both options have the same expiration date. Suppose that an investor buys for £3 a 3-month European call with a strike price of £29 and sells for £1 a 3-month European call with a strike price of £34. What is the total payoff of this...
Assume that the stock price is $56, call option price is $9, the put option price...
Assume that the stock price is $56, call option price is $9, the put option price is $5,   risk-free rate is 5%, the maturity of both options is 1 year , and the strike price of both options is 58. An investor  can __the put option, ___the call option, ___the stock, and ______ to explore the arbitrage opportunity.   A. sell, buy, short-sell, lend B. buy, sell, buy, borrow C. sell, buy, short-sell, borrow D. buy, sell, buy, lend
Option and Strike Price Price of the Option Price of the Stock Calls: LMN, Inc., 60...
Option and Strike Price Price of the Option Price of the Stock Calls: LMN, Inc., 60            LMN, Inc., 70 $11.00 $1.50 $68 $68 Puts: LMN, Inc., 60 LMN, Inc., 70 $1.00 $4.50 $68 $68 1) Calculate the Intrinsic Value of each call option. 2) Calculate the Time Value of each call option. 3) Calculate the Intrinsic Value of each put option. 4) Calculate the Time Value of each put option. 5) If the stock sells for $72 at the...
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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT