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- For each of the following option positions state the risk profile, draw the profit and loss area and show the breakeven price on each graph. a) Long 7.00 call @ 0.30 b) Short 7.00 call @ 0.30 Risk profile: Risk profile: c) Long 7.00 put @ 0.20 d) Short 7.00 put @ 0.20 Risk profile: Risk profile:Consider a two-factor Arbitrage Pricing Theory (APT) model, T; = a; + b1,ifı + b2.i f2 + €i, with the following information Asset i Asset 1 0.07 0.50 0.25 Asset 2 0.15 1.10 0.75 Asset 3 0.20 b1,3 Hi b1i b2i 1.0 and the risk-free rate rp is 0.025. (a) Find the value of b13 to preclude arbitrage opportunity. (b) is an Asset 4 with 4 = 0.13, b14 = 0.8, and b2.4 = 0.4. Explain how you would exploit an arbitrage opportunity if there(Advanced Analysis) The demand for commodity X is represented by the equation P=100-2Q and supply by the equation P=10+4Q. If demand changed from P=100-2Q to P=130-Q, the new equilibrium price is?
- Calculate the Black-Scholes price of a Call option where: S = $50 K = $45 T-t=.25 O = .20 r= .03 Show your work.You 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.A call option has a strike price of MYR3.00/SGD. If the option is exercised before maturity, what price in the followings would maximize gain? a. MYR3.00/SGD. b. MYR2.90/SGD. c. MYR3.05/SGD. d. MYR2.95/SGD.
- Black-Scholes Model Assume that you have been given the following information on Purcell Industries call options: According to the Black-Scholes option pricing model, what is the option’s value?Use the Black-Scholes model to value a call option with the following data: Price $34 Exercise price 30 Risk-free rate 0.04 time to expiry 0.5 0.31557 0.099584 0.762113 0.538972 0.777004 0.705047 Post your answer with 2 decimal places 5 0² d1= d2= Nd1= Nd2=Assume that price of a USDINR call option is quoted as INR 0.25 / 0.27 (bid price / ask price). Given this quote, at what price could a company buy the call option?
- Use the required return-beta equation from the CAPM What is the required return if the risk-free rate is 4%, beta 1.5 and the expected market return 8%? What is the risk-free rate if beta is 1.1, the required return 8.4% and the expected market return 8%? What is beta if the risk-free rate is 4%, the required return 12% and the expected market return 8%? What is the expected market return if the risk-free rate is 4%, beta 1.5 and the required return 12%?Suppose you want to establish a bullish spread strategy. The are two call options. The first one has X1=$50 and C1=$5. The second one has X2=$42 and C2=$6. When the underlying asset price is S(t)=$45, what is the profit from the strategy? What is the maximum profit of the strategy? What is the minimum payoff of the strategy?2. Derive the single - period binomial model for a put option. Include a single - period example where: u = 1.10, d = 0.95, Rf = 0.05, SO = $100, X = $100. 3. Assume ABC stock's price follows a binomial process, is trading at SO = $100, has u 1.10, d = 0.95, and probability of its price increasing in one period is 0.5 (q = 0.5). a. Show with a binomial tree ABC's possible stock prices, logarithmic returns, and probabilities after one period and two periods. . b. What are the stock's expected logarithmic return and variance for 2 periods and 3 periods? c. Define the properties of a binomial distribution.
