INVESTMENTS-CONNECT PLUS ACCESS
11th Edition
ISBN: 2810022611546
Author: Bodie
Publisher: MCG
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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.
In a financial market a stock is traded with a current price of 50. Next period the price of the stock can either go up with 30 per cent or go down with 25 per cent. Risk-free debt is available with an interest rate of 8 per cent. Also traded are European options on the stock with an exercise price of 45 and a time to maturity of 1, i.e. they mature next period.
Calculate the price of a put option by RNVR.
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…
Chapter 21 Solutions
INVESTMENTS-CONNECT PLUS ACCESS
Ch. 21 - Prob. 1PSCh. 21 - Prob. 2PSCh. 21 - Prob. 3PSCh. 21 - Prob. 4PSCh. 21 - Prob. 5PSCh. 21 - Prob. 6PSCh. 21 - Prob. 7PSCh. 21 - Prob. 8PSCh. 21 - Prob. 9PSCh. 21 - Prob. 10PS
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