a.
To determine: The range of values for the ending price of stock and call option.
Introduction:
A type of security in a company that denotes ownership is termed as stock. Every company can raise capital funds by issuing stocks.
b.
To determine: The range of payoff for option and stock.
Introduction:
Option is a contract to purchase a financial asset from one party and sell it to another party on an agreed price for a future date.
c.
To determine: The value of portfolio in one year by creating a riskless hedged investment.
Introduction:
A set of financial investments owned by the investor is termed as Portfolio.
d.
To determine: The cost of the stock in the riskless portfolio.
e.
To determine: The
f.
To determine: The value of call option of the firm.
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Fundamentals of Financial Management (MindTap Course List)
- Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.56. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option?arrow_forwardConsider a stock with a current price of P $27 Suppose that over the next 6 months the stock price will either go up by a factor of 1.41 or down by a factor of 071. Consider a call option on the stock with a strike price of $25 that expires in 6 months. The nsk-free rate is 6%. (1) Using the binomial model, what are the ending values of the stock price? What are the payoffs of the call option? (2) Suppose you write one call option and buy N shares of stock How many shares must you buy to create a portfolo with a riskless payoff Ge, a hedge portfolio)? What is the payoff of the portfolio? 13)What.is the.present.value of the hedge port- Tolot What &the value of phe calt.option? (4) What s a teplieatirg portfolio What is 2otrage?arrow_forwardSuppose a stock is currently (time t = 0) worth 100. Further, suppose the one year annually compounded interest rate is 2%, and the two year annually compounded rate is 3%. Find the following:a) The forward price for a forward contract on the stock with maturity year T1 = 1. b) The forward price for a forward contract on the stock with maturity year T2 = 2.c) The forward price for a forward contract with maturity T1 = 1 on a ZCB with maturity T2 = 2.d) The forward price for a forward contract with maturity T1 = 1 on a forward contract on the stock with maturity T2 = 2 and delivery price K = 101.arrow_forward
- Suppose you are attempting to value a 1-year expiration option on a stock with volatility (i.e., annualized standard deviation) of σ = .40. What would be the appropriate values for u and d if your binomial model is set up using:a. 1 period of 1 year.b. 4 subperiods, each 3 months.c. 12 subperiods, each 1 month.arrow_forwardConsider a stock with a current price of P = $27.Suppose that over the next 6 months the stockprice will either go up by a factor of 1.41 or downby a factor of 0.71. Consider a call option on thestock with a strike price of $25 that expires in6 months. The risk-free rate is 6%.(1) Using the binomial model, what are the endingvalues of the stock price? What are the payoffsof the call option?arrow_forwardCalculate the risk neutral probabilityarrow_forward
- In a one-period binomial model, assume that the current stock price is $100 and that it will rise by 10% with a probability of 45% or fall by 15% with a probability of 55% after one month. The annual risk-free rate of 2%. The call option price with an exercise price of $102 is equal to: O a $5.88 O b. $8.60 OC $5.33 Od $8.57 0.56.25arrow_forwardBinomial Trees Consider a stock which currently sells for 40. Assume that during each two-month period for the next four months this share price is expected to increase by 2% or decrease by 2% and the risk-free Interest rate is 2.5% per annum (cont. comp.). Consider an exotic derivative that has a payoff given by the formula (max[(42.50-ST),0])2 where ST is the stock price in four months. a. Draw a two-step binomial tree and populate the individual nodes with the share price values at each node. b. If this derivative is of European-style, value the derivative using no-arbitrage arguments. c. If this derivative is of European-style, value the derivative using risk-neutral valuation. d. Verify whether both approaches lead to the same result. e. If the derivative is of American style, should it be exercised early if the payoff at time t is given by the formula (max[(42.50 - St),0])2? Note: When you use no-arbitrage arguments, you need to show in detail how to set up the riskless…arrow_forwardSuppose that a call option with a strike price of $48 expires in one year and has a current market price of $5.17. The market price of the underlying stock is $46.25, and the risk-free rate is 1%. Use put-call parity to calculate the price of a put option on the same underlying stock with a strike of $48 and an expiration of one year. The price of a put option on the same underlying stock with a strike of $48 and an expiration of one year is $. (Round to the nearest cent.)arrow_forward
- Subject:- financearrow_forwardConsider the following information on a particular stock: Stock price = $89 Exercise price = $85 Risk-free rate = 3% per year, compounded continuously Maturity = 8 months Standard deviation = 59% per year 1. What is the delta of a call option? 2. What is the delta of a put option?arrow_forwardGiven the maturity of an American put option 2 years, riskfree rate 10%, volatility of the stock 40%, current spot price of stock $50, strike price $50, what is the value of option when stock price is 26.019 in step 2, considering a 3-step binomial tree?arrow_forward
- Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage LearningEBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT