Two stocks (Stock J and Stock K) have the same current stock price, and the same

Question

Two stocks (Stock J and Stock K) have the same current stock price, and the same standard deviation. There exists a call option on 100 shares of Stock J, a call option on 100 shares of Stock K, and a call option on a portfolio of 50 shares of J and 50 shares of K. All three call options have the same expiration date, and all three options are trading "at the money." Rank the three options based upon the size of the call premium (from highest call premium to lowest) in each of the following (independent) cases (explain briefly): A. The correlation between the returns of the two stocks is +1| B. The correlation between the returns of the two stocks is 0

Explanation / Answer

If correlation is +1 means the two stocks are moving in perfectively same direction, which results in optimum outflows as perfectively positive or perfectively negative.

The portfolio with two stocks are having low call premium than the individual stock call option.

Ranking:

Correlation coefficient between the two stocks is zero means, two stocks are moving in a random direction, which results in neutral outflow with individual stocks.

Ranking:

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