1) The stock price is $30, the strike price is $30, the risk free rate is 6% per annum, the volatility is 20% per annum and the time to maturity is 9 months. Assume a 3 stop binomial model a) What is the delta of the call? Delta of the put? a) What is the price of the call option?
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- 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.Assume that the risk-free and rate is 5.50% and the market risk premium is 7.75%. What is the expected return for the overall stock market (rm)?H2. Using the Black-Scholes model (BSOPM), compute the standard deviation that is implied by the following call option data as: the time to the option's maturity is 0.25 years, the price of the underlying option asset is RM30, the continuously compounded risk-free interest rate is 0.12. the exercise or striking price is RM30, and the cost or premium of the call is RM1.90.
- You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. a. What are the betas of Stocks X and Y? b. What are the required rates of return on Stocks X and Y? c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…
- 8. Assume the risk-free rate is 6.7% and the expected return on the market portfolio is 7.8%. Use the capital asset pricing model (CAPM) to find the required return for each of the securities in the table here, 7. Review On Click the icon to see the Worked Solution. The required return for investment A is %. (Round to one decimal place.) The required return for investment B is %. (Round to one decimal place.) The required return for investment C is %. (Round to one decimal place.) The required return for investment D is %. (Round to one decimal place.) The required return for investment E is %. (Round to one decimal place.) 7: Data Table (Click on the icon here in order to copy its contents of the data table below into a spreadsheet.) Security Beta A 1.34 в 0.93 0.13 0.96 E 0.67Consider an asset with a beta of 1.2, a risk-free rate of 4.3%, and a market return of 12%. What is the reward-to-risk ratio in equilibrium? What is the expected return on the asset?A. An option is trading at $5.03. If it has a delta of -.56, what would the price of the option be if the underlying increases by $.75? What would the price of the option be if the underlying decreases by $.55? B. What type of option is this and how? C. With a delta of -.56, is this option ITM, ATM or OTM and how?
- 6) Stock ABC has a market beta of 1.2. The risk-free rate is 3%, and the market risk premium equals 4%. a. Compute the expected return for stock ABC. b. Assume the true expected return is 6%. What is stock ABC's alpha? (Assume that the CAPM is the correct asset pricing model.) c. Is stock ABC fairly priced, underpriced, or overpriced? Please explain your answer for full credit. E Focus MacBook ProAssume a security follows a geometric Brownian motion with volatility parameter = 0.2. Assume the initial price of the security is 21 and the interest rate is 0. It is known that the price of a down-and-in barrier option and a down-and-out barrier option with strike price 19 and expiration 30 days have equal risk-neutral prices. Compute this common risk-neutral price.c) Assume that using the Security Market Line (SML) the required rate of return (Ra) on stock A is found to be half of the required return (Rs) on stock B. The risk-free rate (R:) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (Ba) to beta of B (B).
