The next question is based on the following data for a two-period binomial model.• The stock's price S is $100. After three months, it either goes up and gets multiplied by thefactor U = 1.14, or it goes down and gets multiplied by the factor D = 1/U.Options mature after T = 0.5 year and have a strike price of K = $96.• The continuously compounded risk-free interest rate r is 1.6 percent per year.Today's price of an American put option is: [round to two decimal places]

Information Provided: Stock price = $100 Up move factor = 1.14 Down move factor = 1/1.14 Maturity =…

Answered: Today's price of an American put option…

Business

Finance

Today's price of an American put option is: [round to two decimal places]

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose a one-year European put option on a stock has an exercise price of $30 and oneyear European call option on the same stock has the same exercise price of $30. The call is worth 3$ and the put is worth 2$. If the one-year interest rate is 1.5%, what is the price of the underlying stock, assuming no arbitrage opportunity?
The current spot exchange rate is $1.25/€ and the three-month forward rate is \$ 1.3 / epsilon . Consider a three-month European put option on €125,000 with a strike price of $ 1.2 / epsilon . If you pay an option premium of $5,000 to buy this put option, at what exchange rate will you break-even? Group of answer choices \$ 1.24 / epsilon $ 1.16/€ $1.20/€ $1.34/€
Suppose you bought a December British pound call option with an exercise price of $1.3000/£. The option price was $0.02/£. How much is your payoff if the spot price is $1.3500/£ at expiration? $0 $0.03 $0.04 $0.05 $0.06
?Q.19 Consider a European call option with the following parameters: Assuming a risk-free annual rate of 8%, what is the probability that the option will be exercised in a risk- neutral world? (If required, use the table at the beginning of the document for statistical calculations.) Strike price USD 48 Expiration 6 months Underlying's Price USD 50 Annual volatility 25% A B C 0.70 0.5761 0.6443 D 0.3668
Suppose that you are a speculator that anticipates a depreciation of the Singapore dollar (S$). You purchase a put option contract on Singapore dollars. Each contract represents S$45,000, with a strike price of $0.77 and an option premium of $0.03 per unit. Suppose that the spot price of the Singapore dollar is $0.73 just before the expiration of the put option contract. At this time, you exercise the option, while also purchasing S$45,000 in the spot market at the current spot rate. Assume the seller, after you exercise the put option, immediately sells the S$45,000 on the spot market. Now consider this scenario from the perspective of the individual or firm that sold you the put option. Note: Assume there are no brokerage fees. Use the drop-down selections to fill Transaction Selling Price of S$ - Purchase Price of S$ + Premium Paid for Option = Net Profit the following table from the sellers perspective. Per Unit $0.73 -$0.77 $0.03 Per Contract $32,850 $26,280 $39,420
am. 116.
We will derive a two-state put option value in this problem. Data: S0 = $180; X = $190; 1 + r = 1.10. The two possibilities for ST are $210 and $110.a. The range of S is $100 while that of P is $80 across the two states. What is the hedge ratio of the put? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) (The answer for this one is -.80) :)b. Form a portfolio of four shares of stock and five puts. What is the (nonrandom) payoff to this portfolio? (Round your answer to 2 decimal places.) c. What is the present value of the portfolio? (Round your answer to 2 decimal places.) d. Given that the stock currently is selling at $180, calculate the put value. (Do not round intermediate calculations and round your answer to 2 decimal places.)
am. 289.
A speculator has purchased United States dollar put options, with an exercise price of A$1.30and a premium of A$0.05 per unit.(a) Calculate the break-even price.(b) Calculate the profit or loss of the option for the speculator if the spot rate at the time the speculator considers exercising the options is : (1) A$1.20 (2) A$1.28 (3) A$1.34.(c) What is the maximum profit and maximum loss for the speculator?
Find the price of an American call option on a futures if the current spot price is 30, the exercise price is 25, the futures price is 33.70, the risk-free interest rate is 6 percent, the spot asset can go up by 10 percent or down by 8 percent per period and the call expires in two periods, which is also when the futures expires. Show your working. A. 9.98 B. 8.70 C. 7.73 D. 8.22
A European call option on the stock which expires at time 2 with strike price 6. a two-period binomial model with u = 2, d =1/2, r =1/4 and S0 = 4.
Calculate the European call and put option on the basis of the following data: Consider the following facts regarding Bank Windhoek, which is publicly traded on the Namibian Stock Exchange (NSX): The current stock price is N $18, the exercise price is N $16, the duration of the option is 180 days, the volatility is 35%, and the risk-free rate is 8%. Show all your calculations. 1. What is the value of the European call option? 2. What is the value of the European put option? 3. Comment on the Value for both the European call & put options. 4. Why is a Black Scholes Merton model used to price options

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