28 Assume the following: Stock Price (S) Strike Price (X) Volatility (6) Risk-free Rate $12.00 $10.00 40.00% 3.00% Time to expiration (T) 1 What is the Black-Scholes price of the call option?
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Q: required
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- A non-dividend-paying stock has a current price of 800 ngwee. In any unit of time (t, t + 1) the price of the stock either increases by 25% or decreases by 20%. K1 held in cash between times t and t + 1 receives interest to become K1.04 at time t + 1. The stock price after t time units is denoted by St.Required:I. Calculate the risk-neutral probability measure for the model.II. Calculate the price (at t = 0) of a derivative contract written on the stock with expiry date t = 2 which pays 1,000 ngwee if and only if S2 is not 800 ngwee (and otherwise pays 0).Assume that the risk-free rate is 6.00% and the market risk premium is 6.75%. What is the expected return for the overall stock market (rM) ? (Answer as a percent with 2 decimal places. For example, 10 percent should be entered as 10.00. Do not use the % sign.)The expected risk premium on a stock is equal to the expected return on the stock minus the: Group of answer choices inflation rate. expected market rate of return. standard deviation. risk-free rate. A stock just paid a dividend of P1.50. The expected rate of return is 10.1%, and the constant growth rate is 4.0%. What is the current stock price? Group of answer choices P23.11 P25.57 P24.31 P23.70
- The reward-to-risk ratio for Stock X, in decimal form, is ______. Round your answer to 3 decimal places (example: if your answer is .04567, you should enter .046). Margin of error for correct responses: +/- .002. expected return (implied by market price) Beta Stock X 9.7% 0.87 S&P500 10% ? T-bonds 3% ?Please show step by step work (not in excel): What is the call option premium given the following information? What would happen to the call price if the company initiated and paid a dividend before the expiration of the option? What would happen to the call premium if the expiration of the option expanded beyond the current 9 months? Stock price $36.00 Strike price $30.00 Volatility 16% Dividend Yield 0.00 Time 0.75 Riskfree Rate 2.70%The risk-free rate is 1.13% and the market risk premium is 6.26%. A stock with a β of 0.84 will have an expected return of ____%. Answer format: Percentage Round to: 2 decimal places (Example: 9.24%, % sign required. Will accept decimal format rounded to 4 decimal places (ex: 0.0924))
- Market Data Risk-Free Rate (Annualized) 0.025 Vokinar Corporation Stock Price $55.00 Dividend Yield 0.03 Standard Deviation 0.45 Exercise Price $50.00 Maturity (Years) 0.25 Required: Using the Black-Scholes option pricing formula and the data above, please calculate the price of the European call and put for this share of stock. (Use cells A3 to B10 from the given information to complete this question.) Vokinar Corporation d1 d2 N(d1) N(d2) Call Price Put PriceQ9 to Q10 below is based on the following information.Current Stock Price (S0) 80Strike/Exercise Price (K) 75Time to Maturity (T) of 1 year 1Risk-free Rate (r) 0.04Volatility 40%N(d1) 0.6777N(d2) 0.5245N(d1) 0.3223N(d2) 0.4755 Q9. Based on the above information and the Black-Scholes-Merton model, which of thefollowing is the correct Delta () of the European Put option?(A) 0.6777 (positive)(B) 0.5245 (positive)(C) -0.6777 (negative)(D) -0.3223 (negative)Answer: _______________ Q10. Based on the above information and the Black-Scholes-Merton model, which ofthe following is closest to the correct no-arbitrage Put Option price?(A) 8.4852(B) 16.4259(C) 11.3392(D) -16.4259Answer: _______________Assume that a $60 strike call has a 2.0% continuous dividend, r = 5%, the stock price is $61.00, and the volatility is 20%. What is the theta of the option as the expiration time declines from 60 to 50 days? Answer to 2 decimal places. Correct Answers Between -0.2 and -0.18
- Assume that a $55 strike call has a 1.5% continuous dividend, r = 0.05 and the stock price is $50.00. If the option has 45 days until expiration, what is the vega, given a shift in volatility from 33.0% to 34.0%? (show details) A) 0.20 B) 0.15 C) 0.10 D) 0.05 Please show calculation work.If Stock I is correctly priced right now, its Beta must be ______ . Round your answer to 2 decimal places (example: if your answer is 1.2357, you should enter 1.24). Margin of error for correct responses: +/- .02. expected return (implied by market price) Beta Stock I 12.5% ?? S&P500 11% T-bonds 4%Let the standard deviation of the continuously compounded return on the stock is 21 percent. Ignore dividends. Respond to the following. a) What is the theoretical fair value of the October 165 call? b) Based on your answer in part a, recommend a riskless strategy. c) If the stock price decreases by $1, how will the option position offset the loss on the stock