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Calate the stock nice of Cam for both possible to the both Pike there Price here Stockice Parotta Pay Investors and store based on the range in stock is to go up or down to the portion that the gener des payoffs Tous led creating a hedge portfolio Supaya sentia corporate anks helped portfol Your Heageport will be of anda cavabod on the literates Based on your understanding and portfolio ang 5 day- Becomunicate with all of ption ( Please root of domes Step 1 The total number of shares Soin the porto Step 2 The pay from the portion if the stock down Step 3: If the free at the current of the port the stock down wit tep 4. The curre of the option if the woke down After you find the war of your con, you can it with a rand. She says he was then you go to the one The replicating portfolio Belyour treating porto the following soment trust
nege parlo Suppose you sell one call option on Learn Corps stock to create an dess hedgind portfolieYour hedge portfolio will have a commenter of shares and a certain wal tased on the payoff it gener Based on your understanding of a nedoe portfolio and assuming 365 daybed compounding complete the following steps to the value of the car ni (Hint: Please round aware to four decimal places) Step The total number of shares of C's stock in the portfoliis step 2The paper from the portfoto the stock down as Step 3: If the annual free rates the current value of the porto the stock is down will be Step 11 The current value of the option the stock is down is After you find the value of your option, you discuss with a friend. She says she will use the information you were to replace the options This is called a replicating portfolio Based on your understanding or replicating portfolior, is the following statement te or fobie? The cost of the replicating portfolio will be equal to the value of the call to or else we will drive the prices to the true Fo
9. Put-call parity and the value of a put option Consider two portfolios A and . At the expiration date, both portfolios have identical payoffs. Portfolio A consists of a put option and one share of stuck Portfolio has a call option (with the same strike price and expiration date as the put option) and cash in the amount to the present value (PV) of the strike price discounted at the continuously compounded risk-freerite, which is Xe At expiration, the stock prices and the value of this cash will equal the strike price, X As defined in the Black-Scholes model, et Nd) stand for probability that a deviation less than will occur in a standard normal distribution and Ndi) Nda) represents under a standard normal distribution function Complete the equbon for the value of a put option Put Option Now consider the stock of Grotesque Enterprise (GE) traded at the price P-535 per share. A put option written on Gestock has an exercise price x - 525 and 6 months remaining until exigion. The risk-free rate is TA call option written on GE as the exercise price and expiration date as the put option if the call option has a price of Ve = $12.05, then the price of the put options (Note2.7180 as the approadmate value of e.)
1. option pricing model - Binomial approach Learn Corp. (Ticker: LC), an education technology company, is considered to be one of the least risky companies in the education sector. Investors trade call options for Learn Corp., whose stock is currently trading at $42.00. Suppose you are interested in buying a call option with a strike price of $58.80 that expires in 6 months. (Assume that you get the option for free!) Based on speculations and probability analysis, you compute and collect the following information for your price analysis of the option • For LC's options, time until expiration ( is taken as 0.50 year (6 months 12 months). • LC's stock could go up by a factor of 2.00 (0) • LC's stock could decline by a factor of 0.85 (d). At this time, LC's stock price is is out-of-the-money, you and if you exercised the option your payoff would be exercise the option Therefore, it the option Calculate the ending stock price of Learn Corp for both possible outcomes and the payor in both situations. Price Increases Stock price Ptu) Payoff Price Decreases Stock price Pd) Payoff Investors use options and stocks, based on the range in which a stock is likely to go up or go down, to create portfolios that help them generate riskless payoffs. This is called creating a hedge portfolio
calculate the ending stock price of Learn Corp. for both possible outcomes and the payoff in both situations. Price Increases Stock price Plu) Payoff Price Decreases Stock price Pa) Payoff Investors use options and stocks, based on the range in which a stock is likely to go up or go down, to creste portfolios that help them generate riskless payoffs. This is called creating a hedge portfolio Suppose you sell one call option on Lesen Corp.'s stock to create a riskless hedged portfolioYour hedge portico will have a certain number of shares and a certain value based on the payoff it generates a Based on your understanding of a hedge portfolio and assuming 365 day-based compounding, complete the following steps to find the value of the call option. (Hint: Mease round all answers to four decimal places.) Step 1 The total number of shares of lets stock in the portfolio is Step 2: The payor from the portfolio if the stock is down is $ Step 3: If the annual risk tree rate is 3%, the current value of the portfolio of the stock is down will be Step 4: The current value of the option if the stock is down is $ After you find the value of your option, you discuss it with a friend. She says she will use the information you gave her to replicate the option payoffs This is called a replicating portfolio. Based on your understanding of replicating portfolios, is the following statement true or talse?
de acess hedged portfolio. Your hedge portfolio will have a certain number of shares and a certain value based on the payoff it generates Based on your understanding of a hedge portfolio and assuming 365 day-based compounding, complete the following steps to find the value of the cold option. (Hint: Please round all answers to four decimal places) Step 1: The total number of shares of LC's stock in the portfolio is Step 2: The payoff from the portfolio of the stock is down is 5 Step 3: If the annual risk-free rate is 3%, the current value of the portfolio of the stock is down will be s Step 4: The current value of the option if the stock is down is s After you find the value of your option, you discuss it with a friend. says she will use the information you gave her to replicate the option payoffs. This is called a replicating portfolio Based on your understanding of replicating portfolios, is the following statement true or false? The cost of the replicating portfolio wil be equal to the value of the call option or else arbitrage will drive the prices to be equat. O True O False