A put option and a call option with an exercise price of $55 and three months to expiration sell for $1.15 and $5.30, respectively. If the risk-free rate is 4.2 percent per year, compounded continuously, what is the current stock price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current stock price

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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### Option Pricing Problem

In this exercise, you are given the following conditions for options pricing:

- A **put option** and a **call option** both have an exercise price of **$55** and three months until expiration.
- The put option sells for **$1.15**, while the call option sells for **$5.30**.
- The **risk-free rate** is **4.2% per year**, compounded continuously.

**Task:**  
Calculate the current stock price.

**Instructions:**  
- Do not round intermediate calculations.
- Round your final answer to **two decimal places** (e.g., 32.16).

**Input Field:**  
- **Current stock price**: [Input Box]
Transcribed Image Text:### Option Pricing Problem In this exercise, you are given the following conditions for options pricing: - A **put option** and a **call option** both have an exercise price of **$55** and three months until expiration. - The put option sells for **$1.15**, while the call option sells for **$5.30**. - The **risk-free rate** is **4.2% per year**, compounded continuously. **Task:** Calculate the current stock price. **Instructions:** - Do not round intermediate calculations. - Round your final answer to **two decimal places** (e.g., 32.16). **Input Field:** - **Current stock price**: [Input Box]
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