NOTE: ASSUME Ris free rate of 0; 252 trading days in a year; and Normal distribution for all questions Q1. Underlying is trading at $5200. Binary PUT with strike of $5000 expiring in 9 months is trading at 42c. What is the implied annual standard deviation?
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- What are the prices of a call option and a put option with the following characteristics? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stock price=$79Exercise price=$75Risk-free rate=3.50% per year, compounded continuouslyMaturity=5 monthsStandard deviation=58% per yearSuppose 1-year T-bills currently yield 7.00% and the future inflation rate is expected to be constant at 2.00% per year. What is the real risk-free rate of return, r*? The cross-product term should be considered , i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)Suppose a stock is currently (time t = 0) worth 100. Further, suppose the one year annually compounded interest rate is 2%, and the two year annually compounded rate is 3%. Find the following:a) The forward price for a forward contract on the stock with maturity year T1 = 1. b) The forward price for a forward contract on the stock with maturity year T2 = 2.c) The forward price for a forward contract with maturity T1 = 1 on a ZCB with maturity T2 = 2.d) The forward price for a forward contract with maturity T1 = 1 on a forward contract on the stock with maturity T2 = 2 and delivery price K = 101.
- Suppose you are attempting to value a 1-year expiration option on a stock with volatility (i.e., annualized standard deviation) of σ = 0.34. What would be the appropriate values for u and d if your binomial model is set up using: a. 1 period of 1 year. b. 4 subperiods, each 3 months. c. 12 subperiods, each 1 month. Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Subperiods At = T/n u = exp(σ√ At) d = exp(-σ√ At) a. 1 1/1 = 1 b. 4 1/4 = 0.25 C. 12 1/12 0.0833You have at hand the historical monthly excess returns of Strategy X over 12 months. In addition, you have the monthly excess returns to the market. The risk free rate is 2%. Excess returns (monthly) Strategy X Market 0.012 0.011 0.007 0.009 0.014 0.007 0.013 0.004 0.005 0.013 0.008 0.006 0.011 0.010 0.006 0.011 0.010 0.010 0.014 0.009 0.008 0.004 0.009 0.007 Required: Calculate the annualised CAPM alpha for Strategy X.Suppose the 6-month Mini S&P 500 futures price is 1,170.78, while the cash price is 1,158.57. What is the implied difference between the risk-free interest rate and the dividend yield on the S&P 500? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Implied difference %
- Suppose the 6-month Mini S&P 500 futures price is 1,345.99, while the cash price is 1,335.81. What is the implied difference between the risk-free interest rate and the dividend yield on the S&P 500? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Implied difference %Given the following quotes: FBM KLCI spot = 747 points, risk-free rate = 4.5% annualised, FBM KLCI dividend yield = 1.75% annualised. i) If the 90-day KLCI futures is quoted at 762 points, show that arbitrage is possible ii) Calculate the arbitrage profit if FBM KLCI is 10% higher by futures maturity.following questions: a. What is the mid-rate for each maturity? b. What is the annual forward premium for all maturities? (Click on the icon to import the table into a spreadsheet.) Period spot 1 month 2 months 3 months 6 months 12 months 24 months Period Bid Rate Spot 1.3267 1.3265 1.3263 1.3259 1.3250 1.3228 1.3179 a. What is the mid-rate for each maturity? Calculate the mid-rate for each maturity below: (Round to five decimal places.) Days Forward Ask Rate 0 1.3268 1.3266 1.3264 1.3262 1.3252 1.3233 1.3207 Bid Rate US$/€ 1.3267 Ask Rate US$/€ 1.3268 Mid-rate US$/€
- A stock has a price of $37 and an annual return volatility of 59 percent. The risk-free rate is 3.13 percent. Perform calculations in Excel. a. Calculate the European call and European put option prices with a strike price of $38.00 and a 90-day expiration. (Use 365 days in a year. Do not round Intermediate calculations. Round your answers to 2 decimal places.) Call premium Put premium b. Calculate the deltas of the European call and European put. (Use 365 days In a year. A negative value should be Indicated by a minus sign. Do not round Intermediate calculations. Round your answers to 4 decimal places.) Call delta Put deltaSuppose 1-year T-bills currently yield 7.40% and the future inflation rate is expected to be constant at 3.00% per year. What is the real risk-free rate of return, r*? Disregard any cross-product terms, i.e., if averaging is required, use the arithmetic average. a. 4.40% b. 7.40% c. 10.40% d. 7.62% e. 5.20%What are the prices of a call option and a put option with the following characteristics? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stock price Exercise price Risk-free rate Maturity Standard deviation Call price Put price = $81 = $75 3.60% per year, compounded continuously = 5 months = 57% per year