Price Lower Bounds and Option Valuations in Finance
Explore lower bounds for pricing call and put options on non-dividend-paying stocks in various scenarios along with determining implied risk-free rates based on European option prices. Delve into option valuation concepts and calculations for different stock prices, strike prices, and interest rates in finance.
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Presentation Transcript
Problem 1 What is a lower bound for the price of a six-month call option on a non-dividend-paying stock when the stock price is $80, the strike price is $75, and the risk-free interest rate is 10% per annum?
Problem 2 What is a lower bound for the price of a two-month European put option on a non-dividend-paying stock when the stock price is $58, the strike price is $65, and the risk-free interest rate is 5% per annum?
Problem 3 The price of a non-dividend paying stock is $19 and the price of a three-month European call option on the stock with a strike price of $20 is $1. The risk-free rate is 4% per annum. What is the price of a three-month European put option with a strike price of $20?
Problem 4 The prices of European call and put options on a non-dividend-paying stock with 12 months to maturity, a strike price of $120, and an expiration date in 12 months are $20 and $5, respectively. The current stock price is $130. What is the implied risk-free rate?
