Contemporary Engineering Economics Plus MyLab Engineering with eText -- Access Card Package (6th Edition)
6th Edition
ISBN: 9780134162690
Author: Chan S. Park
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 13, Problem 1P
To determine
Calculate the price.
Expert Solution & Answer
Explanation of Solution
Price of six month European call option can be calculated by using the Black-Scholes equation as follow.
Table 1
| Stock price (S0) | 120 |
| Investment cost (K) | 150 |
| Volatility | 0.45 |
| Time to investment decision (T) | 0.5 |
| Risk free rate (r) | 0.06 |
| Dividend yield (w) | 0 |
| Call value | 6.97 |
| Put value | 32.53 |
| d1 | -0.447892596 |
| d2 | -0.766090647 |
| N(d1) | 0.327115356 |
| N(d2) | 0.221811184 |
| N(-d1) | 0.672884644 |
| N(-d2) | 0.778788816 |
The value of the call option is $6.97 that obtained by using black-Scholes equations.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
The price of a non-dividend paying stock is currently S = 100. Over the next year, it is expected to go up by 25% or down by 20%. The risk-free interest rate is r = 5% per annum with continuous compounding. How many units of the stock should you include in a portfolio containing a European Put option that gives the right to sell 100 units of the stock at a strike price K = 100 each, for the result of this portfolio to be independent of the price of the stock in 1-year time? Select one.
a. 0
b. 22
c. 44
d. 33
e. 11
Which of the following statements is incorrect?(a) Holding on to cash is the most risk-free investment option.(b) To maximize your return on total assets (ignoring financial risk), you mustput all your money into the same type of investment category.(c) Diversification among well-chosen investments can reduce market volatility.(d) Broader diversification among well-chosen assets always leads to a higherreturn without increasing additional risk.
Suppose that a new machine tool having a useful life of only one year costs $80,000. Suppose, also, that the net additional revenue resulting from buying this tool is expected to be $92,000. The expected rate of return on this tool is
15 percent.
85 percent.
20 percent.
10 percent.
Chapter 13 Solutions
Contemporary Engineering Economics Plus MyLab Engineering with eText -- Access Card Package (6th Edition)
Ch. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10P
Ch. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 25PCh. 13 - Prob. 1STCh. 13 - Prob. 2STCh. 13 - Prob. 3STCh. 13 - Prob. 4ST
Knowledge Booster
Similar questions
- The table below shows information for 3 stocks. Security Beta Risk-free rate Expected market return Stock 1 1.9 0.02 0.09 Stock 2 1.2 0.035 0.09 Stock 3 0.2 0.015 0.09 The risk-free rates are different because they were measured in different years. Calculate the expected (or required) return for each stock, using the Capital Asset Pricing Model (CAPM). What is the required return for stock 1? What is the required return for stock 2? What is the required return for stock 3?arrow_forwardWhat is the current price of Tummy Ache stock if it is expected to pay a dividend of $1.26 every quarter forever, the stock's expected return is 11.63% per year, and the next dividend is expected in 3 months? $43.34 (plus or minus 10 cents) $130.01 (plus or minus 10 cents) $10.83 (plus or minus 10 cents) $38.82 (plus or minus 10 cents) the answer cannot be obtained based on the given informationarrow_forward"A corporation is trying to decide whether to buy the patent for a product designed by another company. The decision to buy will mean an investment of $9.6 million, and the demand for the product is not known. If demand is light, the company expects a return of $2 million each year for the first three years and no return in the fourth year. If demand is moderate, the return will be $2.73 million each year for four years, and high demand means a return of $5.4 million each year for four years. It is estimated the probability of a high demand is 0.47, and the probability of a light demand is 0.21. The firm's interest rate is 15.7%.Calculate the expected present worth of the patent. Express your answer in millions of dollars. For example, if the answer is $12.3 million, enter 12.3. (All figures represent after-tax values.)"arrow_forward
- You are considering the purchase of a certain stock. You expect to own the stock for the next four years. The stock's current market price is $24.50, and you expect to sell it for $55 in four years. You also expect the stock to pay an annual dividend of $1.25 at the end of Year 1, $1.35 at the end of Year 2, $1.45 at the end of Year 3, and $1.55 at the end of Year 4. What is your expected return from this investment? Please show all the steps, including the equation(s).arrow_forwardConsider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: • Stock A has and expected return of 22% and a beta of 2. • Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. (a) Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium.arrow_forwardConsider six mutually exclusive and indivisible investment alternatives under evaluation by TranSystems in their bridge and structure design group. At any time TranSystems chooses to exit the investment, their initial financial outlay will be refunded, in addition to the annual returns earned. Based on the data shown below and a MARR of 10 percent, determine the preferred alternative. (Note: There is no planning horizon specified, so pick any number of years you like—the optimum portfolio and the IRR will remain the same, since the ‘‘initial investment’’ and the ‘‘salvage value’’ are the same, and the annual returns are constant each year. The PW will differ depending upon number of years selected, and yet will be a consistent measure.) Alternative 1 2 3 4 5 6 Initial Investment $25,000 $35,000 $30,000 $40,000 $60,000 $50,000 Annual Return $2,600 $3,750 $3,050 $4,775 $6,750 $5,850 a. Which alternative should TranSystems select? Use the IRR method to determine the preferred alternative.…arrow_forward
- Stock ABC has a Forward for December at: $450, Is it reasonable that A PUT option on ABC, with a strike of $500, costs $45? A. No because the minimum intrinsic is $50. B. No, because $35 feels low for a stock with such a high price per share. C. Yes because Intrinsic is $40, Extrinsic is $5 D. Yes because it depends on the distribution; that is defined by the volatility and time to maturityarrow_forwardStephanie Carter has been gifted a sum of $50,000 by her grandparents on completing her graduation successfully. She is a fresh finance graduate and is excited to invest some money in the capital market, for which she intends to use the gifted sum of $50,000. However, instead of committing this money to the market immediately, she decides to wait for some time, work in the field and acquire some experience before proceeding with her intended investment. She thus contemplates an extremely conservative investment in a portfolio of stocks and bonds, at the start of year 5 from now. For now, she will leave the $50,000 in a fixed deposit with the bank which promises an interest rate of 6% per annum. She will require a return of at least 9% on her stock investments and 4% on bond investments. Stephanie would have to pay 25% taxes on any interest income. Dividends will be tax-free. Stephanie’s research has allowed her to narrow down on the following investment candidates: Stocks:…arrow_forwardWhich of the following statements about the current value of a short European call option on Warwick plc stock, a non-dividend-paying stock, is/are true? (a) The current value of a short European call option is less than or equal to zero. (b) The current value of a short European call option decreases as the volatility of returns on Warwick plc stock increases, holding all else constant. (c) The current value of a short European call option decreases as the price of Warwick plc stock increases, holding all else constant.arrow_forward
- Suppose that you invest $50,000 into a downpayment on a $250,000 house, which has a price appreciation of 3% per year. Your mortgage is fixed at $ 36,000 per year, and your tenants pay you $24,000 per year. Property taxes, maintenance, and other expenses cost $5,000 per year. Suppose that after 25 years, you sell your property. Would it have been better to invest $ 50,000 in the stock market, assuming it has returns of 9% per year over the same time period (25 years)? Why? Show your calculations and justify your answer. For the purposes of this question, suppose that inflation is zero.arrow_forwardThe discount rate should be chosen when analyzing an investment project using Net Present Value criteria to be a. equal to the rate of return on the next best project. b. equal to the Federal Reserve’s current federal funds rate. c. equal to the market rate of new issue bonds. d. most likely to accepting the project.arrow_forwardData point X value is 110 and has an assigned weight of 3 Data point Y value is 290 and has an assigned weight of 13 Data point Z value is 260 and has an assigned weight of 7 What is the percentage weight of the total for data point Y? Enter your answer as a percent and round to 1 decimal place.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning