A. Your employer is offering you stock options on the firm as part of your pay package. You know the following about this offer: $23 $28 | Current Stock Price Exercise Price | Maturity (yrs) Risk-free Rate | Stock Volatility 2.25% 23% What is the value of the option? Suppose the Fed reduces Treasury rates to 2.0%, what is the new price of the option? After the rate reduction, your company's share price rises to $25, what is the new price of the option?
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- Suppose you are bullish on stock SPYR. It is trading at $388.55 on September 19,2022, but you believe the price will rise in the near future. You put $20,000 towards thepurchase of 100 shares of stock SPYR and borrow the remaining cost from your broker. Yourbroker requires a maintenance margin level of 15%. What is the range of stock prices suchthat you receive a margin call? Assume the borrowing rate is zero regardless of the actualholding period. Round your answer to two decimal places. Detailed explanation using formulas, not excel. A. $221.82 or lowerB. $163.96 or lowerC. $235.29 or lowerD. $173.91 or lowerSuppose that call options on ExxonMobil stock with time to expiration 3 months and strike price $90 are selling at an implied volatility of 30%. ExxonMobil stock currently is $90 per share, and the risk-free rate is 4%.a. If you believe the true volatility of the stock is 32%, would you want to buy or sell call options?b. Now you need to hedge your option position against changes in the stock price. How many shares of stock will you hold for each option contract purchased or sold?Suppose that JPMorgan Chase sells call options on $2.40 million worth of a stock portfolio with beta = 1.50. The option delta is 0.55. It wishes to hedge its resultant exposure to a market advance by buying a market-index portfolio. Suppose it use market index puts to hedge its exposure. The index at current prices represents $2,000 worth of stock and the contract multiplier is 400. Required: How many dollars’ worth of the market-index portfolio should it purchase? What is the delta of a put option? Complete the following:
- Suppose the rate of return on short-term government securities (perceived to be risk-free) is about 7%. Suppose also that the expected rate of return required by the market for a portfolio with a beta of 1 is 13%. According to the capital asset pricing model: a. What is the expected rate of return on the market portfolio? (Round your answer to 2 decimal places.) b. What would be the expected rate of return on a stock with β = 0? (Round your answer to 2 decimal places.) c. Suppose you consider buying a share of stock at $47. The stock is expected to pay $3.5 dividends next year and you expect it to sell then for $49. The stock risk has been evaluated at β = –.5. Is the stock overpriced or underpriced? A. Underpriced B. OverpricedConsider a European put and a European call option which are both written on a non-dividend paying stock, have the same strike price K = £80 and expire in T = 2 months. These options are trading for p = £21 and c = £30.80, respectively. The underlying stock price is S0 = £90. The continuously compounded risk-free rate of interest is r = 10% per annum. What is the present value of the arbitrage profit? Please explain your answer and show your workings. In your response, please show all cash flows (both today and at expiration) and explain why this is an arbitrage (i.e. risk-less) profit.Suppose that call options on ExxonMobil stock with time to expiration 6 months and strike price $87 are selling at an implied volatility of 27%. ExxonMobil stock price is $87 per share, and the risk-free rate is 6%. Required: If you believe the true volatility of the stock is 31%, would you want to buy or sell call options? Now you want to hedge your option position against changes in the stock price. How many shares of stock will you hold for each option contract purchased or sold?
- Suppose that JPMorgan Chase sells call options on $1.25 million worth of a stock portfolio with beta = 1.5. The option delta is .8. It wishes to hedge its resultant exposure to a market advance by buying a market-index portfolio.a. How many dollars’ worth of the market-index portfolio should it purchase to hedge its position?b. Now it decides to use market index puts to hedge its exposure. Should it buy or sell puts? How many? The index at current prices represents $1,000 worth of stock.1. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, � = 0.5 The Call option value is 3.77. and put option value is 1.99 Suppose a European put options has a price higher than that dictated by the putcall parity. a. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless. Note: Use the call and put options prices above)b. Name the options/stock strategy used to proof the put-call parity. explainc. What would be the extent of your profit in (a) depend on? explainSuppose the 1-year futures price on a stock-index portfolio is 1,914, the stock index currently is 1,900, the 1-year risk-free interest rate is 3%, and the year-end dividend that will be paid on a $1,900 investment in the market index portfolio is $40.a. By how much is the contract mispriced?b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing.c. Now assume (as is true for small investors) that if you short sell the stocks in the market index, the proceeds of the short sale are kept with the broker, and you do not receive any interest income on the funds. Is there still an arbitrage opportunity (assuming that you don’t already own the shares in the index)? Explain.d. Given the short-sale rules, what is the no-arbitrage band for the stock-futures price relation-ship? That is, given a stock index of 1,900, how high and how low can the futures price be without giving rise to arbitrage opportunities?
- Consider a two period economy. You can buy stocks in period 0, and then sell them in period 1. You can also enter into futures contracts in period 0, which expire in period 1. Suppose a stock has a β of 0.5. The stock pays no dividends, and is trading at $100. The market has an expected return of 10%. The interest rate is 2%. Suppose the CAPM holds. What is the stock’s expected return? What is the expected price of the stock in period 1? Consider a futures contract on the stock, expiring at t = 1. What is the fair price of the futures contract, in t = 1 dollars? Suppose you take a long position in the futures contract in period 0 (so, you promise to pay money, in exchange for getting the stock in period 1). When the futures contract expires in period 1, you receive the stock and immediately sell it. What is the expected amount you will pay in money for the stock? What is the expected amount you get from selling the stock? Since buying single-stock futures appears to be a fairly…Currently you own no stock or options. Today's data for Green Corporation, where the call and put have the same exercise price and expire in one year: Strike Price Put Price Call Price Stock Price $32.50 $2.85 $1.65 $30.00 a. If you construct a protective put strategy, which securities will you buy or sell, and what is your total investment today? If the stock price is $20 on the expiration date, what will be the value of your portfolio (payoff) on that day, and your net profit? b. If you construct a covered call strategy, which securities will you buy or sell, and what is your total investment today? If the stock price is $45 on the expiration date, what will be the value of your portfolio (payoff) on that day, and your net profit?Your broker has recommended that you purchase stock in Alacan, Inc. She estimates that the 1-year target price is $76.00, and Alacan consistently pays an annual dividend of $17.00. Analysts estimate that the stock has a beta of 0.91. The current risk-free rate is 2.70% and the market risk premium (RM - RF) is 9.50%. Assuming that CAPM holds, what is the intrinsic value of this stock?