(A)
To calculate:
Theoritical future price in accordance with sport future partity
Introduction:
Future price refers to the price pertaining to which two parties transact the commodity at a predeteromed price at a specific date in the future. It represents the price of commodity or stock on future contract in comparison to the current or spot price.
(B)
To determine:
The strategy that can be taken into consideration by investor to ascertain benefit out of the mispricing in future, if any
Introduction:
The future contract refers to the financial contract which is standardized in nature and is made between two parties wherein one party provide consent to sell or purchase the commodity at a particular date in the future and at a particular price to the other party which provide consent to purchase or sell the same. In the futures contract the physical delivery of the commodity does not take place.
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Investments
- An option is trading at $3.45. If it has a delta of .78, what would the price of the option be if the underlying increases by $.75? A. What would the price of the option be if the underlying decreases by $.55? B. What makes this a call option? C. With a delta of .78, is this option ITM, ATM or OTM and how?arrow_forwardBoth call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. When the exercise price increases, option prices increase. 2. An option is more valuable the longer the maturity. 3. The effect of the time to maturity on the option prices is indeterminate. 4. As the risk-free rate increases, the value of the option increases.arrow_forward1. An option is trading at $5.26, has a delta of .52, and a gamma of .11. what would the delta of the option be if the underlying increases by $.75? What would the delta of the option be if the underlying decreases by $1.05? Explain.arrow_forward
- Consider a call option whose maturity date is T and strike price is K. At any time t < T, is it always the case that the call option's price must be greater than or equal to max(St – K,0), where St is the stock price at t? (Your answer cannot be more than 30 words. Answers with more than 30 words will not be graded.)arrow_forwardIn 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). What assumptions underlie the OPM? Write out the three equations that constitute the model. According to the OPM, what is the value of a call option with the following characteristics? Stock price = $27.00 Strike price = $25.00 Time to expiration = 6 months = 0.5 years Risk-free rate = 6.0% Stock return standard deviation = 0.49arrow_forwardBoth call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. An option is more valuable the longer the maturity. 2. A longer maturity in-the-money option on a risky stock is more valuable than the same shorter maturity option. 3. When the exercise price increases, option prices increase. 4. As the risk-free rate increases, the value of the option increases.arrow_forward
- D3) Finance Consider an option with α being a non-negative parameter and the option pays ((S(T))α − K)+ at maturity date T. Let Cα(S(0), σ, r) be the risk neutral price of the option (with interest rate r and volatility σ) when the initial price is S(0). Obviously, C1(S(0), σ, r) = C(S(0), σ, r) is the price of an ordinary call option. Show that, Cα(S(0), σ, r) = e(α−1)(r+ασ2/2)TC((S(0))α, ασ, rα), where rα = α(r − σ2/2) + α2σ2/2.arrow_forward4. Consider an exchange option. Suppose the initial prices (time 0) of the two stocks are S =S2 = 100 and a =0.40,. Suppose also that the returns on the stocks are uncorrelated. Assume no dividends and final maturity of the option is T = 2 year: (a) Using the closed-form expressions for the price of these options, identify the price of the exchange option when o = 0, a2 =0.20, ag =0.40, and @2 =0.60. (b) Is there a trend in the price? Intuitively, why is this the case?arrow_forwardIn the Black-Scholes option pricing model, the value of a call is inversely related to: a. the risk-free interest stock b. the volatility of the stock c. its time to expiration date d. its stock price e. its strike pricearrow_forward
- Which of the following is not a determinant of the value of a call option in the Black-Scholes model? A. The interest rate. B. The exercise price of the stock. C. The price of the underlying stock. D. The beta of the underlying stock. Need typed answer only.Please give answer within 45 minutesarrow_forwardConsider the following options, which have the same two-year maturity and are written on the same stock. The firm does not pay dividends. Put option P1 has a strike price Xp1 = $50 Put option P2 has a strike price Xp2 = $100 Call option C1 has a strike price Xc1 = $100 Call option C2 has strike price Xc2 = $50 Your broker offers two trading strategies that can be derived from the options above. Strategy A: Long two puts P1 and long two calls C1 Strategy B: Long two calls C2 and long two puts P2 A. Which strategy would you choose if the two strategies have the same costs? Explain your answer. You now collect more information about the available securities. The stock has an implied volatility of 45% p.a.. The current risk-free rate is 1% p.a. The current stock price is $56. B. Calculate the value of the call option C1 using the Black-Scholes formula. Explain why such a deep out-of-the-money option still has a positive valuere: C. Calculate the cost of strategy B using the Black-Scholes…arrow_forwardYou are evaluating a put option based on the following information: P = Ke-H•N(-d,) – S-N(-d,) Stock price, So Exercise price, k = RM 11 = RM 10 = 0.10 Maturity, T= 90 days = 0.25 Standard deviation, o = 0.5 Interest rate, r Calculate the fair value of the put based on Black-Scholes pricing model. Cumulative normal distribution table is provided at the back.arrow_forward
- Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning