Determine the optimal strike prices and exiration dates

Reference no: EM133617036

Problem

You have inherited a portfolio of stocks from a wealthy relative, comprising several companies across different sectors. Among these, one stock (let us call it Herencia Corp) has been underperforming. Financial analysts predict limited growth potential for Herencia Corp due to declining market demand and increasing competition in its industry.

Despite its poor performance, the stock has sentimental value, and the will of your relative explicitly states that you cannot sell any shares of Herencia Corp unless you face a personal financial emergency. This condition has led you to consider writing covered calls against Herencia Corp's stock to generate income. However, you want to minimize the risk of these options being exercised, as you wish to retain the stock.

Additional Considerations

1. Diverse Portfolio with Correlation Considerations: Your inherited portfolio also includes stocks that are either positively or negatively correlated with Herencia Corp. This correlation affects the overall volatility of your portfolio.

2. Varying Option Maturities: You consider writing covered calls with different expiration dates, ranging from short-term (1-3 months) to longer-term (6-12 months) to see how time impacts the likelihood of exercise.

3. Changing Market Volatility: The market is entering a period of high volatility, influenced by economic uncertainties and global events, which affects option pricing and the likelihood of exercise.

4. Dividend Payments: Herencia Corp pays dividends quarterly, and the next dividend is higher than usual due to a one-time special distribution.

5. Tax Implications: Capital gains tax considerations apply to any profits made from the options, and there might be tax implications for dividends received.

Task

Optimizing Covered Call Strategy: Determine the optimal strike prices and exiration dates for the covered calls on Herencia Corp to maximize income while minimizing the risk of exercise. Consider the impact of the overall market volatility and the specific volatility of Herencia Corp.

Reference no: EM133617036

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