Suppose the stock price is $40 and the effective annual interest rate is 8%. 1. Draw on a single graph payoff and profit diagrams for the following options: • 35-strike call with a premium of $9.12. 40-strike call with a premium of $6.22. • 45-strike call with a premium of $4.08. . 2. Consider your payoff diagram with all three options graphed together. Intuitively, why should the option premium decrease with the strike price?

Suppose the stock price is $40 and the effective annual interest rate is 8%. 1. Draw on a single graph payoff and profit diagrams for the following options: • 35-strike call with a premium of $9.12. 40-strike call with a premium of $6.22. • 45-strike call with a premium of $4.08. . 2. Consider your payoff diagram with all three options graphed together. Intuitively, why should the option premium decrease with the strike price?

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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Please use Excel to evaluate the following three strategies: 1) short a straddle; 2) short a strangle; 3) long a butterfly spread. The current stock price is $100, the risk- free interest rate is 4.5% p.a. (continuous compounding), and the volatility of the stock is 42%. For straddles, set the exercise price X at $100. For strangles and butterflies, please examine three sets of exercise prices: ($70, $130), ($80, $120) and ($90, $110). For instance, for the exercise prices ($80, $120), the strangle would involve shorting a put with exercise price $80 and shorting a call with exercise price $120; the butterfly would involve buying calls with exercise prices $80 and $120 and shorting two calls with exercise price $100. Please calculate the net dollar position at maturity (i.e., payoff plus the future value of either investments - in the case of butterfly - or proceeds received from selling options) for each future stock price in the range of $60 to $140 with a $4 interval (i.e., $60,…
Consider the three stocks in the following table. Pt represents price at time t, Qt represents shares outstanding at time t. Stock C splits two for one in the second period from t=1 to t=2. Calculate the rate of return on a price-weighted index consisting of the three stocks for the first period from t=0 to t=1. Answer in percentage. Answer options: 0.00% 2.49% 6.06% 8.95% 1.30%
There are various ways to calculate the price of a call option using the Black-Scholes model. Below is a spreadsheet that breaks the required formulas into pieces to make it easy to work with. Column (1) shows the various inputs. The first five cells are the required inputs for a non-dividend paying stock. The remainder of the cells are the formula parts. Column (2) shows a solved problem for a stock selling for $50, with an exercise price of $45, an interest rate of 6 percent, 90 days (one-quarter of a year), and a standard deviation of .235. Column (3) shows how the cell values in Column (2) were calculated. Once you have this set up in the spreadsheet, you can calculate the price of any call option by substituting the correct values in the first five cells of column (2). Spreadsheet begins in row 2. Calculating a Call Price Using the Black-Scholes Model S 50 45 R 0.06 T 0.25 S 0.235 In(S/X) 0.105361 LN(B2/B3) r+0.50? 0.087613 B4+(,5)*(B6)^2 o(t)½ 0.1175 В6*((B5)^0.5) dl 1.083095…
Only typing. ...all ques
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 0.26
b) Suppose you are given the following information: Current market price of a share= R200 000 Option’s exercise price = R300 000 Time until the option expires= 5 yrs Risk free rate =4% Standard deviation of the returns on the share= 0.35 Required: i. Calculate d1 and d2 ii. Suppose N(d1) =0.7517 and N(d2) =0.4602; calculate the price of the call option on the share
Consider the 1-period binomial model with a bond with A(0) = 60 and A(1) = 70 and a stock with S(0) = 4X and S^u(1) 6Y and S^d(1) = 3Z. = 1. What is the price (payoff) C(1) of a call option with strike price 28? 2. same... with strike price 45? 3. same... with strike price 72? 4. Set up a system of linear equations to determine a replicating portfolio for the call option from part 2 (strike price 45). 5. Solve it and determine the price C(O). 6. Compute, tabulate, and plot the price C(O) as you vary the strike price of the option from 28, 29, ..., 71, 72.
Consider shorting a call option c on a stock S where S = 24 is the value of the stock, K = 30 is the strike price, T = ½ is the expiration date, r = 0.04 is the continuously compounded interest rate per year, and  = 0.3 is the volatility of the price of the stock. Determine the delta ratio Δ .
A butterfly spread is a position in three options on the same underlying stock with different strikes. An investor buys one call with a strike K1 = 22, sells two calls with a strike K2 = 24 and buys one call with a strike K3 = 26. What is the payoff of the butterfly spread, if the stock price equals $26 at maturity?
A. An option is trading at $5.03. If it has a delta of -.56, what would the price of the option be if the underlying increases by $.75? What would the price of the option be if the underlying decreases by $.55? B. What type of option is this and how? C. With a delta of -.56, is this option ITM, ATM or OTM and how?
Assume now that in our usual setting the stock has continuous dividends. If the interest rate is r = 0.06 and the dividends rate is q = 0.03, will the option A be greater or smaller than 0.5?
Assume that there are three different put options on a stock available and that all of them have the same expiration date. These three options have the following market prices $6, $3, and $1, and strike prices $40, $35, and $30, respectively. Construct a butterfly spread and show the relevant profits and losses. The use of graph is essential.

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