The following information is given about an Option on a stock: S(0)=$31, X-$34, rf-9%, variance (sigma squared)=20%, T=182.5 days, Dividend $1.75 in 45 days (1) Calculate the price of a European put option using the Black-Scholes pricing model (show all workings including d1, d2, N(d1), N(d2)) (2) Calculate the price of the corresponding European call option (hint: put call parity) (3) Suppose you feel that the put option is overpriced. What strategy should you use to exploit the apparent mispricing?
Q: she will earn the same annual effective interest rate as the zero-coupon bond. Calculate X.
A: To calculate the value of X, we need to equate the present value of the cash flows from the…
Q: Dr. Doe has been contributing $5,250 to her savings account twice a year every year for 22 years.…
A: Annuity is a series of equal cash flow payment at equal interval for a specified period of time.…
Q: The balance sheet for Quinn Corporation is shown here in market value terms. There are 10,000 shares…
A: Market value of equity=$404,200 No. of shares outstanding= 10,000 Dividend declared per share= $1.90…
Q: (a) Mr Adani invests in two risky securities with the following details: Security 1: r₁=0.16;…
A: I ) 40% in Security 1 and 60% in Security 2: Return Return of Portfolio = Return from Security 1 *…
Q: Ivanhoe, Inc., is considering investing in a new production line for eye drops. Other than investing…
A: NPV is also known as Net present value . It is a capital budgeting techniques which help in decision…
Q: Refer to the stock options on Microsoft in the Figure 2.10. Suppose you buy a November expiration…
A: The option represents a financial derivative that provides the right to buy or sell the underlying…
Q: Suppose intel stock has a beta of 0.80, whereas Boeing stock has a beta of 1.15. If the risk-free…
A: Intel Beta = ib = 0.89 Boeing Beta = bb = 1.15 Risk free rate = rf = 3.1% Market return = rm = 10.1%
Q: An electrician is 27 years old and starting a 401k. The employee plans to invest $350 per month with…
A: Future value refers to the value of current asset at some future date that is helpful in estimating…
Q: Kate and her brother Rustin own a piece of property in Dallas as tenants in common valued at…
A: Co-owners of a tenancy refers to multiple individuals or entities who jointly hold ownership rights…
Q: Suppose you have a stock market portfolio with a beta of 1.34 that is currently worth $261 million.…
A: An investor's collection of stocks, funds, and other market-traded instruments is known as their…
Q: A trader enters into a short position on a call and a long forward position on the same underlying…
A: Long position means we will buy futures now and sell them in future expecting the price increased.…
Q: DAK Plc. just constructed a manufacturing plant in India. The construction cost 9 billion Rupees.…
A: The Net Present Value method one of the most famous methods of making a capital budgeting decision.…
Q: If a trader developed a series of algorithms and bots to help her profit from predictable price…
A: In this algorithm trading, we need to look at each trade when the trade would get executed.
Q: A delivery company is looking at converting their fleet of gasoline vans to electric vehicles. The…
A: Electric van cost $75,000 Tax credit $7,500 Maintenaxe and fuel cost $5,000 Present value of…
Q: Roman Knoze is considering the following investment. The project will cost $20,000 initially, and…
A: Net present value is the modern method of capital budgeting that is used to determine the present…
Q: 1) Miguel is attending a 4-year college. As a freshman, he was approved for a 10-year, federal…
A: Principal Amount = $6800 Rate of Interest = 4.29% No. of years = 4.5
Q: What is the yield to maturity (expressed as a nominal, semi-annual
A: To calculate the yield to maturity (YTM) of the bond, we need to find the interest rate that…
Q: The following monthly data in contribution format are available for the Ross Company and its only…
A: The concept of leverage is associated risk measure . They are different kind of leverage that can…
Q: Find the lower bound of a European foreign currency put if the spot rate is $3.50, the domestic…
A: Spot Rate = $3.50 Domestic Interest Rate = 8% Foreign Interest Rate = 7% Exercise Price = $3.75
Q: A company buys a delivery vehicle today for R60 000 and assumes that the cost of replacing the…
A: Value of old vehicle decreases with time and value of new vehicle increases with time and this is…
Q: At the beginning of 2009, the price of a share in company X was £50, and the price of a share in…
A: To determine the year when the share prices of Company X and Company Y reached equal values, we can…
Q: Last year Harrington Inc. had sales of $325,000 and a net income of $19,000, and its year-end assets…
A: Sales = $325000 Net Income = $19000 Assets = $200000 Debt-to capital Ratio = 30%
Q: machinery costing $420,000. The Sisyphean Company expects cash inflows from this project as detailed…
A: Years Cash Inflow / Outflow PV Factor @ 17% PV of Cashflows 0 -4,20,000.00…
Q: Find the time-weighted rate of return for 2018 Find the exact (to five decimal points)…
A: To calculate the time-weighted rate of return for 2018, we need to divide the ending value of the…
Q: Based on the information below, if Jason starts saving immediately for the down payment on his…
A: The FV of an investment refers to the cumulative value of its cash flows at a future date assuming…
Q: Find the interest Thomas has started working, and he will be putting $100 aside, at the end of every…
A: When the lender lends a loan to the borrower, he charges a rate of interest on the borrowed amount.…
Q: Future Motors recently paid $3.30 a share annual dividend. Dividends are expected to increase by…
A: Dividend paid = $3.30 Growth rate = 2.75% Required rate of return = 15%
Q: 3) Imagine that you can borrow or lend at a risk-free rate of 3.20% in the US, and you can borrow or…
A: As per the Honor code of Bartleby we are bound to give the answer of first three sub part only,…
Q: Which of the following is an example of a capital expenditure? Select all that apply A- New…
A: Capital Expenditure is that expenses which is incurred by the company on long term assets such as…
Q: This answer was not correct.
A: Here, Expected Return of Complete Portfolio is 15%
Q: 14. Calculating Present Values (LO2) The first comic book featuring Superman was sold in 1938. In…
A: Price of Book in 2014 (FV)=$3,200,000 Rate of return (r)=25.53% Time period (n) =2014-1938…
Q: Depreciation is the decline in value of an asset over time due to normal wear and tear and to…
A: Depreciation is an accounting technique for spreading out an asset's cost over the course of its…
Q: Consider a project with free cash flows in one year of $90,000 in a weak economy or $117,000 in a…
A: A company's average after-tax cost of capital from all sources, including common stock, preferred…
Q: Briefly discuss the differences between Modigliani and Miller’s theory of capital structure and the…
A: According to the M&M theory, a company's worth is unaffected by its capital structure or the…
Q: You have $7000 to invest. The mutual fund you are considering offers two classes of shares. Class A…
A: Mutual funds are traded as unit of pooled fund from investors where funds are invested in different…
Q: Find the first payment and the interest portion of the first payment.
A: 4 / 4 To find the first payment (X) and the interest portion of the first payment, we can use…
Q: An anonymous donor wishes to give an endowment that will initially payout $50,000 per year forever.…
A: The PV of an investment refers to the cumulative value of its cash flows after they have been…
Q: Engr. Yakuzo started his own engineering firm to acquire different construction project. There is an…
A: Investment decision are based on rate of return if rate of return from investing in particular…
Q: 2) Chris had these daily balances on his credit card for his last billing period. He did not pay the…
A: The average daily balance refers to the balance that the credit card is assumed to have. It allows…
Q: Dawn has $10,000 to invest. She is considering OPQ Mutual Fund and RST Exchange-Traded Fund, both of…
A: Excess return is the return a fund is earning above the risk free rate or the minimum rate of…
Q: The risk-free rate is 6% and the expected rate of return on the market portfolio is 13%. a.…
A: Risk-free rate = 6% Return on market portfolio = 13% Beta = 1.25 Calculate the required rate of…
Q: Part 1 Under the current (leveraged) capital structure, how much does Lando receive in dividends…
A: Please note that under the guidelines only up to 3 sub-questions can be answered. Kindly repost the…
Q: In a binomial tree created to value an option on a stock, what is the expected return on the option?…
A: The binomial tree model is a commonly used method in finance for valuing options and other financial…
Q: Coore Manufacturing has the following two possible projects. The required return is 11 percent.…
A: Years Project Y 0 ($28,800) 1 $14,800 2 $13,200 3 $15,600 4 $11,200 Years Project…
Q: what is Thread Financial Analysis?
A: Financial reporting is a detailed record of all corporate activities, including costs and profits,…
Q: In other words, what will you be willing to pay in euro against receiving USD LIBOR?
A: To calculate the bid price of a euro swap against flat USD LIBOR, we need to determine the fixed…
Q: Hansi is promised to receive $89 in 9 years. Hansi, being profligate, prefers to spend this promised…
A: Future value = fv = $89 Time = t = 9 years Interest rate = r = 6%
Q: A Company has decided to finance $50 million by issuing 10-year bonds that pay a 10% coupon…
A: Bonds refer to the financial instrument issued by the government against allocating funds for…
Q: A telephone company purchased a microwave radio equipment for P 6M. Freight and installation charges…
A: As per the given information: Microwave radio equipment purchased for - P6MFreight and installation…
Q: The current price of Natasha Corporation stock is $6.39. In each of the next two years, this stock…
A: An option is a type of financial instrument that is based on the value of underlying securities,…
Step by step
Solved in 4 steps with 1 images
- You are evaluating a put option based on the following information: P = Ke-H•N(-d,) – S-N(-d,) Stock price, So Exercise price, k = RM 11 = RM 10 = 0.10 Maturity, T= 90 days = 0.25 Standard deviation, o = 0.5 Interest rate, r Calculate the fair value of the put based on Black-Scholes pricing model. Cumulative normal distribution table is provided at the back.Suppose you want to price an American style put option for a stock being traded on theKuispad Stock Exchange having the following parameters: s = 18, t = 0.25, K = 20, σ = 0.2, r = 0.07. Using n = 5, calculate the value of V0(0). Provide all necessary detailsSuppose you want to price an American style put option for a stock being traded on theDryfontein Stock Exchange having the following parameters: s = 18, t = 0.25, K = 20, σ =0.2 and r = 0.07. Using n = 5, calculate the value of V2(2). Provide all necessary details.
- Let S = $100, K = $95, \sigma = 30%, r = 8%, T = 1, and \delta = 0. For simplicity, let u = 1.3, d = 0.8 and n = 2 (that is, 2 periods). When constructing the binomial tree for the European call option, what is A (Stock Share Purchased in the replicating portfolio) at the first node (Time 0)? Question 11 options: 0.1789 0.3886 1.0000 0.2550 0.6912Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation,= 0.5 a. What is correct of the call options using Black-Scholes model? * Look for N(d1) and N(d2) from the cumulative standard normal distribution table:1. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, � = 0.5 The Call option value is 3.77. and put option value is 1.99 Suppose a European put options has a price higher than that dictated by the putcall parity. a. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless. Note: Use the call and put options prices above)b. Name the options/stock strategy used to proof the put-call parity. explainc. What would be the extent of your profit in (a) depend on? explain
- Write down the formula for: fa) price of an European put option f6) price of a European calli option Koth on a non-dividend paying stock and Koth derived from the Black-Scholes-Merton Differential Equations Define every symbol in the formulae. Given that, with the usual notation, S, = 42, K = 40, r3D0.1, о %3D0.2, Т%3D0.5 N(0.7693) N(0.6298) = 0.7340 0.7791 4.79 Calculate the price of a European call option on the stock. Consider an option on a dividend paying stock with the following characteristics s, = $30 Going ex-dividend in 1.5 months. Expected Dividend is $0.5 Exercise Price is $29. Risk free rate is 5% per annum Volatility is 25% per annum Time to maturity is 4 months Calculate price if (a) European Call (b) European Put 2.52 2.52 Given further N (.3068) = 0.6205 N (.1625) = 0.56452. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, = 0.5a. What is correct of the call options using Black-Scholes model? b. Compute the put options price using Black-Scholes model. 3Suppose a European put options has a price higher than that dictated by the putcall parity.a. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless.Note: Use the call and put options prices you have computed in the previous question 2 above.b. Name the options/stock strategy used to proof the put-call parity. c. What would be the extent of your profit in (a) depend on?2. Derive the single - period binomial model for a put option. Include a single - period example where: u = 1.10, d = 0.95, Rf = 0.05, SO = $100, X = $100. 3. Assume ABC stock's price follows a binomial process, is trading at SO = $100, has u 1.10, d = 0.95, and probability of its price increasing in one period is 0.5 (q = 0.5). a. Show with a binomial tree ABC's possible stock prices, logarithmic returns, and probabilities after one period and two periods. . b. What are the stock's expected logarithmic return and variance for 2 periods and 3 periods? c. Define the properties of a binomial distribution.
- Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value GA $ $ $ 48 60 0.07 0.04 0.50 0.26You are pricing options with the following characteristics: •Current stock price (St): $35.60 •Exercise price (X): $50 •Time to expiration (T-t): 9 months •Risk-free rate (rf): 3.25% •Volatility (0): 45% (a): What is the Black-Scholes value of call option? In your hand-written solution, provide the calculations of d1,d2, and the final call price. Use Excel or another spreadsheet program to compute the values of N(d1) and N(d2). See the notes for details. (b): Using put-call parity, what is the value of a put option? For this case, assume continuous compounding, which implies that PVt(X)=e-r(T-t).X.II. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, = 0.5 a. What is correct of the call options using Black-Scholes model? b. Compute the put options price using Black-Scholes model? c. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless.Note: Use the call and put options prices you have computed in the previous question (a) and (b) above.b. Name the options/stock strategy used to proof the put-call parity. c. What would be the extent of your profit in (a) depend on?