EBK ECONOMICS TODAY
EBK ECONOMICS TODAY
18th Edition
ISBN: 9780133920116
Author: Miller
Publisher: YUZU
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Chapter 23, Problem 23.1LO
To determine

The characteristics of a perfectly competitive market structure.

Expert Solution & Answer
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Explanation of Solution

Perfectly competitive market is the market in which there are a large number of buyers and sellers. Each buyer and seller individually has no control over the market. The market forces determine the market price and the individual firms are price takers.

Following are the features of a perfectly competitive market.

a. Free entry and exit: In a perfectly competitive market, there is no restriction on firm’s market entry and exit. If the existing firms make profits, then new firms will enter the market. On the other hand, a firm can freely exit the market if it incurs losses.

b. Large number of buyers and sellers: In a perfectly competitive market, there are a large number of buyers and sellers. Each buyer and seller has no influence over market price of the good.

c. Homogeneous goods: The products produced and sold by a perfectly competitive firm are identical. This means that products of a perfectly competitive firm are perfect substitutes for each other.

d. Perfect knowledge: The buyers and sellers in a perfectly competitive market have perfect market information. This means buyers and sellers have complete information about the price prevailing in the market.

e. Perfect mobility of factors of production: In a perfectly competitive market, factors of production are completely mobile leading to factor-price equalization throughout the market.

Economics Concept Introduction

Introduction:

Perfectly competitive market is the market in which there are a large number of buyers and sellers. Each buyer and seller individually has no control over the market. The price in this market is determined by demand and supply forces in the market and the individual firms are price takers.

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Consider a call option on a stock that does not pay dividends. The stock price is $100 per share, and the risk-free interest rate is 10%. The call strike is $100 (at the money). The stock moves randomly with u=2 and d=0.5. 1. Write the system of equations to replicate the option using A shares and B bonds. 2. Solve the system of equations and determine the number of shares and the number of bonds needed to replicate the option. Show your answer with 4 decimal places (x.xxxx); do not round intermediate calculations. This is easy to do in Excel. A = B = 3. Use A shares and B bonds from the prior question to calculate the premium on the option. Again, do not round intermediate calculations and show your answer with 4 decimal places. Call premium =
Answer these questions using replication or the risk neutral probability. Both methods will produce the same answer. Show your work to receive credit. 6. What is the premium of a call with a higher strike. Show your work to receive credit; do not round intermediate calculations. S0 = $100, u=2, d=0.5, r=10%, strike=$150
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