Suppose you think WW stock is going to appreciate substantially in value over the next six months. The stock's current price is $30 and the call option expiring in six months has an exercise price, X, of $35 and is selling at a premium (option price), C, of $12. You invest $12,000 on 1,000 options (10 contracts, each for 100 shares). What is the rate of return if the stock price six months from now is $50? Show your work.
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- Consider a stock currently priced at $60. Assume that in each period of one month, the stock could either appreciate or depreciate by 10%. The risk free rate is 2% per period. What would be the value of a 3-month 60 European call if a dividend of $1 would be paid and the ex - dividend date is at the end of the second period? Justify your answer.Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock's current price, Sø. is $75, and a call option expiring in one year has an exercise price, X, of $75 and is selling at a price, C, of $21. With $21,000 to invest, you are considering three alternatives. a. Invest all $21,000 in the stock, buying 280 shares. b. Invest all $21,000 in 1,000 options (10 contracts). c. Buy 100 options (one contract) for $2,100, and invest the remaining $18,900 in a money market fund paying 6% in interest over 6 months (12% per year). What is your rate of return for each alternative for the following four stock prices in 6 months? (Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round the "Percentage return of your portfolio (Bills + 100 options)" answers to 2 decimal places.) The total value of your portfolio in six months for each of the following stock prices is: Stock Price All…The current price of a non-dividend paying stock is $30. Use a two-step tree to value a put option on the stock with a strike price of $32 that expires in 6 months. Each step is 3 months, and in each step the stock price either moves up by 10% or moves down by 10%. Suppose that the risk free rate is 8% per annum with continuous compounding. 1) What should be the EUROPEAN put option price today? 2) If the option was an AMERICAN put option, what should be the price today? 3) If the volatility was given as 30%, how would the AMERICAN put option price change? Volatility is 30%,
- Suppose that you are willing to pay $450.33 today for a share of stock which you expect to sell at the end of one year for $500.25. If you require an annual rate of return of 15 percent, what should be the estimate of the amount of the annual dividend which you expect to receive by the end of Year 1 prior to the sale of the stock? Assume that the estimated return equals the required rate of return. Options: a. $17.63 b. $1.60 c. $10.99 d. $19.25 e. $3.60A stock has a current price of $67. An option on this stock that expires in six months has an exercise price of $65. The stock will pay a dividend of $5 in three months. Assume an annualized volatility of 30% and a continuously compounded risk - free rate of 5% per annum. Use the Black - Sholes - Merton model to price this option. 1) Suppose the option is a European put. Calculate the value of the put. 2) Suppose this option is an American call. Use Black's approximation to calculate the value of this call.You are considering issuing a stock that will pay a dividend of $1.00 a year from today. Thebase case assumption is that the dividend will grow at an annual rate of 10% for two years afterthat, then at 6% for another five years and then will grow at 4% annually for ever. If the requiredrate of return on similar stocks is 12% what should be the price of the stock?
- Consider a European call option on a stock with current price $100 and volatility 25%. The stock pays a $1 dividend in 1 month. Assume that the strike price is $100 and the time to expiration is 3 months. The risk free rate is 5%. Calculate the price of the the call option.Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock's current price, So, is $80, and a call option expiring in one year has an exercise price, X, of $80 and is selling at a price, Co, of $24. With $24,000 to invest, you are considering three alternatives. a. Invest all $24,000 in the stock, buying 300 shares. b. Invest all $24,000 in 1,000 options (24 contracts). c. Buy 100 options (one contract) for $2,400, and invest the remaining $21,600 in a money market fund paying 6% annual interest. What is your rate of return for each alternative for the following four stock prices in one year? Complete this question by entering your answers in the tabs below. In terms of dollar returns In terms of rate of return What is your rate of return for each alternative for the following four stock prices in one year? The total value of your portfolio in one year for each of the following stock prices is: Note: Leave no cells blank be certain to…TreeOlivia's stock price is $180 and could halve or double in each six-month period. The interest rate is 12% a year. What is the value of a six-month call option on TreeOlivia with an exercise price of $120? What is the option delta for the six-month call with an exercise of $120? The payoffs of the six-month call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock and what amount must be borrowed? Assume the exercise price is $120. What is the value of the one-year call option on TreeOlivia with an exercise of $150? (Hint: use the two-step binominal tree) What is the value of the one-year put option on TreeOlivia with an exercise of $150?
- Suppose Carol's stock price is currently $20. If the standard deviation of the continuously compounded returns (σ) on a stock is 60 percent per year. The annual risk-free rate is 12%, compounded every 6 months. A. Using one-step binomial tree, what is the current value of a six-month call option with an exercise price of $25?B. Using two-step binomial tree, what is the current value of a one-year put option with an exercise price of $25?You expect the price of a stock to increase by 20% in the following year, with a standard deviation of 30%. The stock currently trades at $50. You pursue a strategy of buying 100 shares of the stock on margin. The initial margin requirement is 50%. The annual interest on margin debt is 5% per year. (a) What is the expected return and standard deviation of your strategy? (assume there is no margin call.) (b) The maintenance margin is 30%. Six months after you establish your trade, you receive a margin call. What is the price of the stock when this happens?You have found the following information: Stock Price = $90.00 Exercise price = $96.00 Call price = $5.00 Put price = $10.00 Expiration is in 6 months What is the risk-free rate implied by these prices?