A financial institution has the following portfolio of over-the-counter options on GBP (sterling, UK currency): Type Position Delta of Option Gamma of Option Vega of Option Call -1,000 0.5 2.2 1.8 Call -500 0.8 0.6 0.2 Put -2,000 Call -500 -0.40 0.70 1.3 0.7 1.8 1.4 A traded option is available with a delta of 0.3, a gamma of 1.7, and a vega of 0.8. To make the portfolio both gamma-neutral and delta-neutral, you will take a (long/short) position in the traded option. You will also take a (long/short) position in GBP. How many GBP (i.e. don't worry about L/S, just write how many GBP)? Assume that all implied volatilities change by the same amount so that vegas can be aggregated. Enter your answer rounded to the nearest integer, skip the currency sign. For example, if your calculation results in GBP 9,876.1234567, you only need to enter 9876

A financial institution has the following portfolio of over-the-counter options on GBP (sterling, UK currency): Type Position Delta of Option Gamma of Option Vega of Option Call -1,000 0.5 2.2 1.8 Call -500 0.8 0.6 0.2 Put -2,000 Call -500 -0.40 0.70 1.3 0.7 1.8 1.4 A traded option is available with a delta of 0.3, a gamma of 1.7, and a vega of 0.8. To make the portfolio both gamma-neutral and delta-neutral, you will take a (long/short) position in the traded option. You will also take a (long/short) position in GBP. How many GBP (i.e. don't worry about L/S, just write how many GBP)? Assume that all implied volatilities change by the same amount so that vegas can be aggregated. Enter your answer rounded to the nearest integer, skip the currency sign. For example, if your calculation results in GBP 9,876.1234567, you only need to enter 9876

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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Assume that the value of a call option using the Black-Scholes model is $8.94. The interest rate is 8 percent, and the time to maturity is 90 days. The price of the underlying stock is $47.38, and the exercise price is $45. Calculate the price of a put using the put-call parity relationship.
i)identify, analyze and discuss the following characteristics of an American put option: maximum value, intrinsic value, time value, lower bound, and payoff at expiration. ii) analyze and discuss the following factors on an American put option: time to expiration, exercise price, interest rate, volatility, and dividends. iii) identify, analyze, and discuss the following characteristics of a European call option: maximum value, intrinsic value, time value, lower bound, and payoff at expiration. iv) analyze and discuss the following factors on a European call option: time to expiration, exercise price, interest rate,
Answer the following two questions with respect to the table below. A financial institution has the following portfolio of over-the-counter options on a stock: Vega of Option Туре Рosition Delta of Gamma of Option Option 0.50 Call -1,000 -500 2.2 1.8 Call 0.80 0.6 0.2 Put -2,000 -500 -0.40 1.3 0.7 Call 0.70 1.8 1.4 A traded option is available with a delta of 0.6, a gamma of 1.5, and a vega of 0.8. What position in this option and the underlying will make the portfolio delta and gamma neutral?
1. An option is trading at $5.26, has a delta of .52, and a gamma of .11. what would the delta of the option be if the underlying increases by $.75? What would the delta of the option be if the underlying decreases by $1.05? Explain.
i need the answer quickly
Interest Rate Swap: A company that expects interest rates to rise and wishes to exchange its floating interest rate for a fixed rate would: Select one OA. Enter into a payer swap B. Enter into a receiver swap C. Sell interest rate futures OD. Buy interest rate futures
Both call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. An option is more valuable the longer the maturity. 2. A longer maturity in-the-money option on a risky stock is more valuable than the same shorter maturity option. 3. When the exercise price increases, option prices increase. 4. As the risk-free rate increases, the value of the option increases.
A European call option can be exercised a. any time in the future b. only on the expiration date c. if the price of the underlying asset declines below the exerciase price d. immediately after dividends are paid e. none of these.
Consider a portfolio consisting of one share and several European call options with the same expiry, but different strike prices. The payoff diagram of the portfolio is given by the following figure. Find the strike prices and the positions of each call option. Portfolio payoff 25 20 15 10 15 20 25 30 Stock price Payoff
Does at the money ,in the money, out of the money is used to tell about position of strike price in the market when buy or sell the option only (judge by comparing srike price and the spot price in market at that moment,Is it used to tell status of the option on expiration date by comparing srike price and the market price at expiration date or not, if not please explain to me by using some example to explain it.
Finance (a) Consider a portfolio with a Delta of 100, a Gamma of -20, and a Vega of -10. There are two traded options available: Traded options 1 Traded options 2 Delta 0.2 -0.1 Gamma Vega 0.01 0.05 0.5 0.3 What position in the traded option and/or underlying stock would make the portfolio Gamma and Vega neutral? (Required: Show your work step by step)
a. Constructa portfolio of European put oplions with the payoff at maturity as in the picture. The portfolio can include both long (buy) and short (sell) positions. Describe how (specify clearly who exercise and how many they buy or sell at each price level and number of options, strike price, etc.) 2/3 70 60 50 40 30 20 10 20 40 60 80 100 Price at maturitydate b. An investor, with the expectation of an increase in P for stock A, can buy a option with strike price £50 or sell a put option with strike price £50. These actions have the same outcome for the investor with an expectation of price increase. True or False. Explain. call

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