INVESTMENTS-CONNECT PLUS ACCESS
11th Edition
ISBN: 2810022611546
Author: Bodie
Publisher: MCG
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Chapter 20, Problem 28PS
Summary Introduction
To create: A Portfolio which includes both calls and put options at a stock price of $53.
Introduction:
Volatility: Volatility can be defined as debt or liability which changes instantly and is unpredictable. In financial terminology, volatility is supposed to be the range or degree of trading price series variation over a said period when measured by the standard deviation of return in logarithm. Normally, the measure of time series of old market prices is measured in historic volatility.
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Students have asked these similar questions
A stock has a price of $73, which can later be
$77 or $69 with equal probabilities. The
options with exercise price $77 are valued at
$1.53 for the call and $1.73 for the put.
a. Calculate the gains/losses/returns for the
stock.
b. Calculate the gain/losses/returns for a
covered call and protective put portfolio.
A stock has a price of $73, which can later be $77 or $69 with equal probabilities. The options with exercise price $77 are valued at $1.53 for the call and $1.73 for the put.
Calculate the gains/losses/returns for the stock.
Calculate the gain/losses/returns for a covered call and protective put portfolio.
If you must choose only two stocks to your investment portfolio, what would be your
choice?
Chapter 20 Solutions
INVESTMENTS-CONNECT PLUS ACCESS
Ch. 20 - Prob. 1PSCh. 20 - Prob. 2PSCh. 20 - Prob. 3PSCh. 20 - Prob. 4PSCh. 20 - Prob. 5PSCh. 20 - Prob. 6PSCh. 20 - Prob. 7PSCh. 20 - Prob. 8PSCh. 20 - Prob. 9PSCh. 20 - Prob. 10PS
Ch. 20 - Prob. 11PSCh. 20 - Prob. 12PSCh. 20 - Prob. 13PSCh. 20 - Prob. 14PSCh. 20 - Prob. 15PSCh. 20 - Prob. 16PSCh. 20 - Prob. 17PSCh. 20 - Prob. 18PSCh. 20 - Prob. 19PSCh. 20 - Prob. 20PSCh. 20 - Prob. 21PSCh. 20 - Prob. 22PSCh. 20 - Prob. 23PSCh. 20 - Prob. 24PSCh. 20 - Prob. 25PSCh. 20 - Prob. 26PSCh. 20 - Prob. 27PSCh. 20 - Prob. 28PSCh. 20 - Prob. 29PSCh. 20 - Prob. 30PSCh. 20 - Prob. 31PSCh. 20 - Prob. 1CPCh. 20 - Prob. 2CPCh. 20 - Prob. 3CPCh. 20 - Prob. 4CPCh. 20 - Prob. 5CP
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- V3. By looking at the sensivities of your portfolio to δs = -$2 and δσ = -1%, you decide to hedge delta, gamma and Vega risk of your portfolio with the underlying stock and two different options on the same asset with below data. Calculate the units of stock you need to trade to hedge away all delta, gamma and Vega risks of your portfolio.(Note that here you have to calculate the units of stock, Option A and Option B, but you will only submit the units of stock.)arrow_forwardA close family friend has approached you to help her determine which of the two common stocksshe should invest in. Common Stock A Common Stock BProbability Return Probability Return 0.3 11% 0.2 -5% 0.4 15% 0.3 6% 0.3 19% 0.3 14% 0.2 22%Required:a) Calculate the expected returns of stock A b) Determine the risk (standard deviation) and return of stock Ac) Calculate the expected returns of stock B d) Determine the risk (standard deviation) and return of stock Be) Which investment should your friend invest in?arrow_forwardIn 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). What assumptions underlie the OPM? Write out the three equations that constitute the model. According to the OPM, what is the value of a call option with the following characteristics? Stock price = $27.00 Strike price = $25.00 Time to expiration = 6 months = 0.5 years Risk-free rate = 6.0% Stock return standard deviation = 0.49arrow_forward
- Suppose an investor starts with a portfolio consisting of one randomly selected stock. As moreand more randomly selected stocks are added tothe portfolio, what happens to the portfolio’s risk?arrow_forwardDraw the profit diagram (profit not payoff) of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. Clearly state any assumptions made. Is the cost of the portfolio positive?arrow_forwardFinance (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)arrow_forward
- Construct a hedge portfolio and by using the binomial option pricing model and find the values of Pu and Pd; and P. Explain the answer and describe the hedge portfolio. A stock currently priced at $100. One period later it can go up to $125, an increase of 25 percent, or down to $80, a decrease of 20 percent. Assume a put option is available with an exercise price of $100. Consider the example in a two-period world. The risk-free rate is 7 percent. The inputs are summarized as follows S = 100 d = 0.80 u = 1.25 X= 100 r = 0.07arrow_forwardConsider a world that only consists of the three stocks shown in the following table: a. Calculate the total value of all shares outstanding currently. b. What fraction of the total value outstanding does each stock make up? c. You hold the market portfolio, that is, you have picked portfolio weights equal to the answer the total value of all stocks. What is the expected return of your portfolio? Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Total Number Current Price per of Shares Outstanding Share Stock First Bank Fast Mover Funny Bone 107 million 46 million 207 million $111 $120 $30 part with each stock's weight is equal to its contribution to the fraction of Expected Return 17% 11% 16% Xarrow_forwardAssume that an investor holds the following portfolio: short stock bought at a price 90$, long one 3- month maturity call option on the same stock with an exercise price of $88. a) Show the payoff structure of this portfolio at option expiration both numerically and graphically. b) Calculate the profit/loss on this position if stocks are selling at $80 on the option maturity date. Calculate the profit/loss on the position if the stocks are selling at $110. Call option premium is $5, while put option premium is $3. Ignore the transaction costs. c) Explain what kind of "bet" the investor is making. What must the investor in such a portfolio believe about the stock price to justify this position?arrow_forward
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