Question

Assume rf = 0 for all questions below. Underling at 100. Annual stdev of $20. 3 months left for the option. What is the...

Assume rf = 0 for all questions below. Underling at 100. Annual stdev of $20. 3 months left for the option.

What is the gamma value of a 90-110 call debit spread (long 90 call and short 110 call)?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Gamma of a call option or a put option is given by the formula:

e(d)2 Γ. -1 Sσ2π

where In (r = p

Please see the attached snapshot from my model.

Gamma of 90 call

P Q R 1 Inputs 100.00 0.25 3 months 20.00% 20/100 90 90 call 2 S 3 t 4 a 5 K 0.00% r 7 Output Values Formula Used 1.1036052 =

Gamma of 110 Call

P R 1 Inputs 100.00 0.25 3 months 20.00% 20/100 110 90 call 0.00% Values 2 S 3t 4 o 5 K 6 r Formula Used 7 Output -0.9031018(

Hence, the gamma value of a 90-110 call debit spread (long 90 call and short 110 call) = Gamma of 90 call - Gamma of 110 call = 0.0217 - 0.0265 = - 0.0048

Add a comment
Know the answer?
Add Answer to:
Assume rf = 0 for all questions below. Underling at 100. Annual stdev of $20. 3 months left for the option. What is the...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • please just do question 7. thank you Silicon MicroSystems, Inc. (SMSI) stock is currently selling for...

    please just do question 7. thank you Silicon MicroSystems, Inc. (SMSI) stock is currently selling for $100 and the firm pays no dividends. The stock's volatility is 0.30 and the risk-free rate is 8%. Consider the following 6-month call and put options on SMSI stock (assume that contract size is 1 share): 6. Call 1 Call 2 Call 3 Strike $90 Price $12.817 $6.999 $3.380 Delta Gamma $100$110 0.7690.548 0.333 ma 0.0180.024 0.022 Put 1 90 Put 2 Put 3...

  • 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%...

  • Based on the following information for a call option on a stock, S-$90 X=$80 RF=.05 T-3...

    Based on the following information for a call option on a stock, S-$90 X=$80 RF=.05 T-3 months 6 20 What is the call premium based on the Black/Scholes model? Select one: a. $11,37 b. $10.12 c. $13.11 d. $12.54 e. $9.34

  • Q4. Option Greeks of a call back ratio under NORMAL DISTRIBUTION Underlying is at $200 Rt...

    Q4. Option Greeks of a call back ratio under NORMAL DISTRIBUTION Underlying is at $200 Rt 0. Annual standard deviation of $80.3 mont You want to construct a CALL back ratio spread Long 2 CALLS at Q4a What is the delta ol the position? (2 points) 220 strike, and short 1 CALL at 200 strike. 04b. What is the gamma value of the spread (2 points) Q4c What is the one day theta value of the spread (2 points) oad...

  • Refers to the information below: S&R index level today (t=0) 900 Forward price (T=3 months) 918...

    Refers to the information below: S&R index level today (t=0) 900 Forward price (T=3 months) 918 Annualized 3-month interest rate 8% p.a. Call option Premium (Strike = 900) 62.57 Put option Premium (Strike = 900) 44.92 Dividend Yield 0% S&R index level 3 months later 930 (i) What is your profit 3 months later if you have taken a long position on the stock at t=0? (ii) What is your profit 3 months later if you have taken a short...

  • Question 13 (1 point) Suppose SO = 100 and stock tree is below, rf=0, p=0.45 t=0...

    Question 13 (1 point) Suppose SO = 100 and stock tree is below, rf=0, p=0.45 t=0 t=1 t=2 110.25 105.0 100.0 100.0 95.3 90.7 b) Compute payoffs for a call (with $105 strike, expires t=2) if S-100 at t-2? 0 1 0-5 Question 14 (1 point) Suppose SO = 100 and stock tree is below, rf=0 (risk free rate), p=0.45 (risk-neutral probability). Call option with strike 105. t=0 t=1 t=2 110.25 105.0 100.0 95.3 90.7 100.0 c) Compute C_u (call...

  • You Just  a TD stock at $100 and a put option on the TD stock at $5....

    You Just  a TD stock at $100 and a put option on the TD stock at $5. The put has exercise price of $108 and expiration date is 6 months from now. Assume that the spot price of the TD stock on expiration date turned to as follows (consider each case separately): Spot price at expiration $85 $90 $95 $100 $105 $110 $115 $120 $125 $130 i. What will be value of put option expiration date under each scenario. ii. What...

  • The diagram below represents the payoff of a European call option on the stock with a...

    The diagram below represents the payoff of a European call option on the stock with a strike price (K)= $100, initial cost (option premium) =$10, and option life of 6 months. The market price of the underlying stock reaches ($115) at the maturity date of the option, explains in detail whether the holder of this option will exercise his option and achieve profit knowing that the profit is the final payoff minus the initial cost? 30 20 10 0 -10...

  • Opion Raitr Call Option sold has the following details. The stock price is $49, the 100,000...

    Opion Raitr Call Option sold has the following details. The stock price is $49, the 100,000 Stocks the nsk-free rate is 5%, the stock price volatility is 20%, and the time 20 weeks or 20/52 year. Table below shows Delta, Gamma, Vega, Theta, position in one option) to and Rho for the option (i e, for a long Single Option Value (S) Delta (per $) Gamma (per S) Vega (per %) Theta (per day) Rho (per %) $2.40 0.522 0.066...

  • A combination of Long 1 Put at K1, Short 2 Puts at K2, Short 100 shares...

    A combination of Long 1 Put at K1, Short 2 Puts at K2, Short 100 shares of Stock at K2 and Long 1 Call at K(3) is an example of: O A Strangle O B Straddle C Bull Spread O D Butterfly Given: S(0) 50; r 0.05; T 6 months; K49. What is a lower bound for an American Call Option on non-dividend paying stock? O A C<or 50 O B Cor 2.21 c c>or=1

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT