EBK INVESTMENTS
EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 21, Problem 4CP
Summary Introduction

Adequate information:

The required maintenance margin = $2500

Initial margin posted by Jerry Harris = $6000

Price per July silver futures contract = $28/ounce

Total amount of silver a silver contract includes = 5000 ounces

To construct:

First price per ounce at which Harris would receive a maintenance margin call.

Introduction:

A maintenance margin at 25% means that there must be a minimum amount of equity valued at 25% or more of the total value of the margin account. If one or more securities in the account falls below a certain price and these requirements are not met, the investor receives a margin call, sometimes known as a "fed call."

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A stock index is currently trading at 50. Paul Tripp, CFA, wants to value 2-year index options using the binomial model. The stock will either increase in value by 20% or fall in value by 20%. The annual risk-free interest rate is 6%. No dividends are paid on any of the underlying securities in the index.a. Construct a two-period binomial tree for the value of the stock index.b. Calculate the value of a European call option on the index with an exercise price of 60.c. Calculate the value of a European put option on the index with an exercise price of 60.d. Confirm that your solutions for the values of the call and the put satisfy put-call parity.
Optival’s stock is currently trading at $60 per share with a historical volatility of 20%. The risk-free rate is 4%. Consider a European call and put option on Optival’s stock with an exercise price of $55 that expires in 2 years. Use excel or a similar program to determine the option price using the Black-Scholes formula.   (a): What is the value the European call and put option on Optival’s stock with a strike price of $60?  (b): To the nearest cent, how much does the option value change for the following adjustments to the input values:  ∆ in Call Value ∆ in Put Value  ↑ stock price by $1 to $61  ↑ strike price by $1 to $56  ↑ the rF by 1% to 5%  ↑ volatility by 1% to 21%  ↑ time to maturity by 1 yr  (c): Why does the value of the call increase by less than $1 when the stock price increases by $1?  (d): To the nearest percent and holding all else constant, how high would the risk-free rate need to be for a 1 year increase in time to maturity to have a negative impact on the value of…
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