Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Chapter 16, Problem 5PS

In each of the following questions, you are asked to compare two options with parameters as given. The risk-free interest rate for all cases should be assumed to be 6 % . Assume the stocks on which these options are written pay no dividends. LO 16 1
a.

    Put T X 0 Price of Put
    A 0.5 50 0.20 10
    B 0.5 50 0.25 10

Which put option is written on the stock with the lower price?
(1) A
(2) B
(3) Not enough information
b.

    Put T X 0 Price of Put
    A 0.5 50 0.2 10
    B 0.5 50 0.2 12

Which put option must be written on the stock with the lower price?
(1) A
(2) B
(3) Not enough information
c.

    Put T X 0 Price of Put
    A 50 50 0.2 12
    B 55 50 0.2 10

Which call option must have the lower time to expiration?
(1) A
(2) B
(3) Not enough information
d.

    Call T X 0 Price of Call
    A 0.5 50 55 10
    B 0.5 50 55 12

Which call option is written on the stock with higher volatility?
(1) A
(2) B
(3) Not enough information
e.

    Call T X 0 Price of Call
    A 0.5 50 55 10
    B 0.5 55 55 7

Which call option is written on the stock with higher volatility?
(1) A
(2) B
(3) Net enough information

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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.
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?
A call option with X = $55 on a stock priced at S = $60 is sells for $12. Using a volatility estimate of σ = 0.35, you find that N(d1) = 0.7163 and N(d2) = 0.6543. The risk-free interest rate is zero. Is the implied volatility based on the option price more or less than 0.35?
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