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What is the break-even stock price for the protective put? R
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- Pick up the one(s) that can be contracted as OTC product. Choose all the correct answers. V Equity Forward O Currency Futures Interest Rate Swap Commodity Options VFRASuppose you combine two option contracts as follows. You buy a call option on a stock with an exercise price of $65 for a premium of 9$. At the same time you sell a call option on the same stock with an exercise price of $75 for a premium of $4. Both calls expire at the same time. The stock sells currently at $72. Answer the following questions about this investment strategy: 1. Determinethevalueatexpiration(thepayoffs)andtheprofitunderthefollowingoutcomes: a. The price of the stock at expiration is $78b. The price of the stock at expiration is $69c. Thepriceofthestockatexpirationis$62 2. Determine the following:a. The maximum profit b. The maximum loss 3. Determinethebreakevenstockpriceatexpiration(thestockpriceforwhichyourstrategydeliversno profit and no loss). 4. Depictthepayoffandprofitdiagramsofyourinvestmentstrategy.Suppose you are a seller . At time t = 0 you get £C from the buyer where C is the risk-neutral price of the option. You then have to design a hedging strategy which would allow you to meet your financial obligation in one year’s time. Your portfolio should consist of two investments: you are allowed to buy the underlying shares and to deposit money in the bank. The price of the share evolves according to a geometric Brownian motion. State the formulae you will need to compute the number of shares in the portfolio and the capital deposited in the bank at any time t, 0 ≤ t ≤ 1.
- You are interested to value a put option with an exercise price of $100 and one year to expiration. The underlying stock pays no dividends, its current price is $100, and you believe it either increases to $120 or decreases to $80. The risk-free rate of interest is 10%. Calculate the put option's value using the binomial pricing model, presenting your calculations and explanations as follows: a. Draw tree-diagrams to show the possible paths of the share price and put payoffs over one year period. (Note: Show the numbers that are known and use letter(s) for what is unknown in your diagrams.) b. Compute the hedge ratio. c. Find the put option price. Explain your calculations clearly. d. Use put-call parity, find the price of a call option with the same exercise price and the same expiration date.Consider a put option on a stock that curretly sclls for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (a) Calculate the value of the put option using the risk-neutral valuation relationship (RNVR). Explain the reasoning behind your calculations. (b) Calculate the value of the put option by using first principles (No Arbitrage prin- ciples). Explain the reasoning behind your calculations. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your calculations.A trader buys a call option on a share for K2. The stock price is K25 and the strike price is K20. State the circumstances under which the trader will make a profit. State the circumstances under which the option will be exercised. Draw a diagram in support of your answers above, showing the variation of the trader’s profit with the stock price at the maturity of the option.
- A) Assume that you have some shares of stock in ABC Inc. Why do we say that if you also purchase a put option on the same stock, the price paid to buy the put option is like paying an insurance premium? B) We understand standard deviation of returns as a measure of risk and rational investors would like to minimize risk. Notwithstanding this, you may have read that as the standard deviation of returns of the underlying asset increases the value of an option rises. If standard deviation is a measure of risk and investors do not particularly like it, why does it lead to an increase in an option's value?Suppose that a European call option to buy a share for $ 90.00 costs a . Under what circumstances will the SELLER of the option make a profit ? \$4.00 and is held until maturity . ( DRAW the GRAPH to show ALL answers ) b . when will the option be exercised ( at what price , show on graph ) ? c . What is the Maximum profit for SELLER and at what stock price ? d . What is the Maximum loss for SELLER and at what stock price ? e . What will be profit / loss for SELLER if St is 150 ?As an option trader, you are constantly looking for opportunities to make an arbitrage transaction (that is, a trade in which you do not need to commit your own capital or take any risk but can still make a profit). Suppose you observe the following prices for options on DRKC Co. stock: $3.18 for a call with an exercise price of $60, and $3.38 for a put with an exercise price of $60. Both options expire in exactly six months, and the price of a six-month T-bill is $97.00 (for face value of $100). a. Using the put-call-spot parity condition, demonstrate graphically how you could synthetically re-create the payoff structure of a share of DRKC stock in six months, using a combination of puts, calls, and T-bills transacted today. b. Given the current market prices for the two options and the T-bill, calculate the no-arbitrage price of a share of DRKC stock. c. If the actual market price of DRKC stock is $60, demonstrate the arbitrage transaction you could create to…
- parts c, d, e Suppose an investor is considering a multi option strategy on a stock with a currentprice of $100. The following strategy is called a strangle. The investor purchases a call optionwith a strike price of $110 for a premium of $5 and purchases a put option with a strike priceof $90 for a premium of $3.a) Draw a payout diagram for the strangle option strategy at expiration.b) Determine the breakeven points for the strangle option strategy.c) Suppose the stock price at expiration is $120. What is the profit for the strangle optionstrategy?d) Suppose the stock price at expiration is $85. What is the profit for the strangle optionstrategy?e) What is the investor speculating on with her option strategy?Calculate the profit or loss per share of stock to an investor who buys a call option on a stock whose price is K90 but a call option exercise price if K100 if the stock price at expiration is K105. Calculate the profit or loss for a purchaser of a put option with the same exercise price and expiration?You think that there is an arbitrage opportunity on the market. The current stock price of Wesley corp. is $20 per share. A one- year put option on Wesley corp. with a strike price of $18 sells for $3.33, while the identical call sells for $7. The one-year risk- free interest rate is 8%. Assuming that the put option is fairly priced, compute the fair price of the call option and explain what you must do to exploit this arbitrage opportunity and what will be your gain.