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A one-year call option on a stock with a strike price of $30 costs $3; a one-year put option on the stock with a strike price of $30 costs $4. Suppose that a trader buys two call options and one put option. The breakeven stock price above which the trader makes a profit is:$35$40$30$36

Question

A one-year call option on a stock with a strike price of 30costs30 costs 3; a one-year put option on the stock with a strike price of 30costs30 costs 4. Suppose that a trader buys two call options and one put option. The breakeven stock price above which the trader makes a profit is:353540303036

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Solution

To calculate the breakeven stock price, we need to consider the cost of the options and the strike price.

The trader buys two call options, each costing 3,foratotalcostof23, for a total cost of 2 * 3 = 6.Thetraderalsobuysoneputoption,costing6. The trader also buys one put option, costing 4.

The total cost of the options is 6+6 + 4 = $10.

The breakeven stock price for the trader can be calculated as the sum of the strike price and the total cost of the options divided by the number of options.

Breakeven stock price = (Strike price + Total cost of options) / Number of options Breakeven stock price = (30+30 + 10) / 3 Breakeven stock price = 40/3Breakevenstockprice=40 / 3 Breakeven stock price = 13.33

However, since the trader bought two call options, the breakeven price is twice this amount, or $26.67.

But this is not the final answer. The trader will start making a profit only when the stock price is above the breakeven price plus the cost of one call option (since the trader bought two call options).

So, the breakeven stock price above which the trader makes a profit is 26.67+26.67 + 3 = $29.67.

Rounding up to the nearest dollar, the breakeven stock price above which the trader makes a profit is $30.

Therefore, the correct answer is $30.

This problem has been solved

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