Info Heh
Design a swap that will net a bank, acting as intermediary, 50 basis points per annum. Make the swap appear equally attractive to the two companies and ensure that all foreign exchange risk is assumed by the bank. 5.3. A 100 million interest rate swap has a remaining life of 10 months. Under the terms of the swap, 6-month LIBOR is exchanged for 12 per annum compounded semiannually . The average of the bid and ask rate being exchanged for 6-month LIBOR in swaps of all maturities is currently 10...
Questions And Problems Muq
6.1. Explain why brokers require margins from clients when they write options, but not when they buy options. 6.2. A stock option is on a February, May, August, November cycle. What options trade on a April 1 and b May 30 6.3. A company declares a 3-for-l stock split. Explain how the terms of a call option with a strike price of 60 change. 6.4. Explain the difference between the specialist system and the market maker order book official system for the organization of trading at an exchange....
Questions And Problems Ecs
11.1. A portfolio is currently worth 10 million and has a beta of 1.0. The S amp P 100 is currently standing at 250. Explain how a put option on the S amp P 100 with a strike of 240 can be used to provide portfolio insurance. 11.2. Once we know how to value options on a stock paying a continuous dividend yield, we know how to value options on stock indices, currencies, and futures. Explain this statement. 11.3. Explain the difference between a call option on yen and a call option on yen...
Questions And Problems Wdf
13.1. What does it mean to assert that the delta of a call option is 0.7 How can a short position in 1,000 call options be made delta neutral when the delta of each option is 0.7 13.2. Calculate the delta of an at-the-money 6-month European call option on a non-dividend-paying stock when the risk-free interest rate is 10 per annum and the stock price volatility is 25 per annum. 13.3. What does it mean to assert that the theta of an option position is -0.1 when time is measured in years If a...
The Lognormal Property Of Stock Prices Rrl
A variable has a lognormal distribution if the natural logarithm of the variable is normally distributed. It has just been shown that the model of stock price behavior developed in Chapter 9 implies that In ST - In S lt p ji - T - t , ojT -t 10.6 where St is the stock price at a future time T S is the stock price at the current time, t and 4 gt m, s denotes a normal distribution with mean m and standard deviation s. From the properties of the normal distribution, it follows from Equation 10.6...
Rho
The rho of a portfolio of derivative securities is the rate of change of the value of the portfolio with respect to the interest rate.14 It measures the sensitivity of the value of a portfolio to interest rates. For a European call option on a non-dividend-paying stock, and for a European put option on the stock, where d2 is defined as in Equation 10.27 . These same formulas apply to European call and put options on stocks and stock indices paying a dividend yield at rate q, and to European...
Info Wtm
Calculate forward interest rates for the second, third, fourth, fifth, and sixth quarters. 4.10. The cash prices of 6-month and 1-year Treasury bills are 94.0 and 89.0. A lj-year, bond that will pay coupons of 4 every 6 months currently sells for 94.84. A 2-year bond that will pay coupons of 5 every 6 months currently sells for 97.12. Calculate the 6-month, 1-year, 1 j-year, and 2-year spot rates. 4.11. A 10-year 8 coupon bond currently sells for 90. A 10-year 4 coupon bond currently sells for...
Questions And Problems Sps
10.1. What does the Black-Scholes stock option pricing model assume about the probability distribution of the stock price in 1 year 10.2. The volatility of a stock price is 30 per annum. What is the standard deviation of the proportional price change in one trading day 10.3. A stock price is currently 40. It is known that at the end of 1 month it will be either 42 or 38. The risk-free rate of interest is 8 per annum. What is the value of a European call option with a strike price of 39 10.4....
Info Lxm
Company X requires a floating rate loan company Y requires a fixed rate loan. Design a swap that will net a bank, acting as intermediary, 0.2 per annum and which will appear equally attractive to X and Y. 5.9. Company A, a British manufacturer, wishes to borrow U.S. dollars at a fixed rate of interest. Company B, a U.S. multinational, wishes to borrow sterling at a fixed rate of interest. They have been quoted the following rates per annum Design a swap that will net a bank, acting as...
Questions And Problems Ybh
8.1. What is meant by a protective put What position in call options is equivalent to a protective put 8.2. Explain two ways in which a bear spread can be created. 8.3. When is it appropriate for an investor to purchase a butterfly spread 8.4. Call options on a stock are available with strike prices of 15, 17j, and 20 and expiration dates in 3 months. Their prices are 4, 2, and j, respectively. Explain how the options can be used to create a butterfly spread. Construct a table showing how...
T8 100 146 165 04 32 42
22 .01. .06 .14 2.90 2.88 Est. vol. 20,783 Frl vol. 7,517 calls 7,279 puts Op. Int. Frl 122,927 calls 144,651 puts HEATING OIL No.2 NYM 42,888 Hi. per gal. Strike Calls-Settle Puts-Settle Price Mar Apr May Mar Apr May 50 .0372 .0384 .0366 .0020 .0077 .0105 51 .0213 .0243 .0243 .0100 .0135 .0180 M .0093 .0140 .0155 .0060 .0232 .0291 56 .0030 .0075 .0095 .0270 .0366 58 .0010 .0035.0050.0456 .0525 80 .0004 .0020 .0003 .0650 .0709 Est. vol. 1,524 Frl vol. 886 calls 1,073 puts Op. Int. Frl 28,567...
Questions And Problems Rdo
9.1. What would it mean to assert that the temperature at a certain place follows a Markov process Do you think that temperatures do, in fact, follow a Markov process 9.2. Can a trading rule based on the past history of a stock's price ever produce returns which are consistently above average Discuss. 9.3. A company's cash position, measured in millions of dollars, follows a generalized Wiener process with a drift rate of 0.1 per month and a variance rate of 0.16 per month. The initial cash...
Summary Kmz
There are six factors affecting the value of a stock option the current stock price, the strike price, the expiration date, the stock price volatility, the risk-free interest rate, and the dividends expected during the life of the option. The value of a call generally increases as the current stock price, the time to expiration, the volatility, and the risk-free interest rate increase. The value of a call decreases as the strike price and expected dividends increase. The value of a put...
A Company S Cash Position Measured In Millions Of Dollars Follows A Generalized
where the e,- i 1,2, , N are random drawings from a standardized normal distribution. From property 2 the e, 's are independent of each other. It follows from Equation 9.2 that z T z 0 is normally distributed with2 mean of z T - z 0 0 variance of z T - z 0 N At T standard deviation of z T z 0 Vt Thus in any time interval of length T, the increase in the value of a variable that follows a Wiener process is normally distributed with a mean of zero and a standard deviation of lt JT. It should now...
Convergence Of Futures Price To Spot Price Gsk
As the delivery month of a futures contract is approached, the futures price converges to the spot price of the underlying asset. When the delivery period is reached, the futures price equals or is very close to the spot price. To show why this is so, suppose first that the futures price is above the spot price during the delivery period. This gives rise to a clear arbitrage opportunity for traders This is certain to lead to a profit equal to the amount by which the futures price exceeds the...
Questions And Problems Yyt
3.1. A bank quotes you a rate of interest of 14 per annum with quarterly compounding. What is the equivalent rate with a continuous compounding and b annual compounding 3.2. Explain what happens when an investor shorts a certain share. 3.3. Suppose that you enter into a 6-month forward contract on a non-dividend-paying stock when the stock price is 30 and the risk-free interest rate with continuous compounding is 12 per annum. What is the forward price 3.4. A stock index currently stands at...
Questions And Problems
1.1. What is the difference between a long forward position and a short forward position 1.2. Explain carefully the difference between a hedging b speculation and c arbitrage. 1.3. What is the difference between a entering into a long forward contract when the forward price is 50 and b taking a long position in a call option with a strike price of 50 1.4. An investor enters into a short cotton futures contract when the futures price is 50 cents per pound. The contract is for the delivery of...
Newspaper Quotes
Many newspapers carry futures quotations. In The Wall Street Journal, futures quotations can currently be found under the headings Commodities, Interest Rate Instruments, Index Trading, and Foreign Exchange in the Money and Investing section. Table 2.2 shows the quotations for commodities as they appeared in The Wall Street Journal on Friday, October 18, 1991. These refer to the trading that took place on the previous day Thursday, October 17, 1991 . The quotations for index futures and...
Questions And Problems Dfl
2.1. Distinguish between the terms open interest and trading volume. 2.2. What is the difference between a local and a commission broker 2.3. What is the difference between the operation of the margin accounts administered by the clearinghouse and those administered by a broker 2.4. What are the most important aspects of the design of a new futures contract 2.5. Explain how margins protect investors against the possibility of default. 2.6. Under what circumstances are a a short hedge and b a...
John Hull
Library of Congress Cataloging-in-Publication Data Options, futures, and other derivative securities John C. Hull. 2nd ed. p. cm. Includes bibliographical references and index. ISBN 0-13-639014-5 1. Futures. 2. Stock options. I. Title. HG6024.A3H85 1993 332.63'2 dc20 92-25111 Acquisitions editor Leah Jewell Editorial production supervision Edie Riker Cover design Anne Ricigliano Cover illustration is a sketch of the future and options trading floor Prepress buyer Patrice Fraccio Manufacturing...