Stock in Cheezy-Poofs Manufacturing is currently priced at $85 per share. A call
ID: 451347 • Letter: S
Question
Stock in Cheezy-Poofs Manufacturing is currently priced at $85 per share. A call option with a $85 strike and 90 days to maturity is quoted at $4.25. Compare the percentage gains and losses from a $36,125 investment in the stock versus the option in 90 days for stock prices of $75, $85, and $95. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Leave no cells blank - be certain to enter "0" and select "None" wherever required. Input all amounts as positive values. Omit the "%" sign in your response.)
Stock in Cheezy-Poofs Manufacturing is currently priced at $85 per share. A call option with a $85 strike and 90 days to maturity is quoted at $4.25. Compare the percentage gains and losses from a $36,125 investment in the stock versus the option in 90 days for stock prices of $75, $85, and $95. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Leave no cells blank - be certain to enter "0" and select "None" wherever required. Input all amounts as positive values. Omit the "%" sign in your response.)
Explanation / Answer
Answer: Duration of call option = 3 months
strike price = $85
call price = $4.25
Alternative-1 Stock investment:
Invested money = $36125
Current price = $85
Number of share bought = $36125/$85 = 425
After three months the price is: $75
So loss = $85 - $75 = $10 per share
Total loss = $4250
After three months the price is: $85
So loss = $85 - $85 = $0 per share
Total loss = $0
After three months the price is: $95
So Gain = $95 - $85 = $10 per share
Total Gain = $4250
Alternative-2 Call Option:
Invested money = $36125
call price = $4.25
Number of calls bought = $36125/$4.25 = 8500
After three months the price is: $75
So Notional loss = $85 - $75 = $10 per share
Total loss = $36125 the invested money
After three months the price is: $85
So loss = $85 - $85 = $0 per share
Total loss = $36125
After three months the price is: $95
So Gain = $95 - $85 = $10 per option
Total Gain = ($10 - $4.25) x 8500 = $48875
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