MGMT 6150 Creating Sustainable Solutions Through Systems Thinking
Suppose the current value of a popular stock index is 653.50 and the dividend yield on the index is 2.8%. Also, the yield curve is flat at a continuously compounded rate of 5.5%.
- If you estimate the volatility factor for the index to be 16%, calculate the value of an index call option with an exercise price of 670 and an expiration date in exactly three months.
Current value without dividend = $653.5*100% / (100%-2.8%) = $672.33
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Write My Essay For MeAt compounded of 5.5%, $672.33 gives 670
One standard move = 670 * 16% * [(90/360)]^(1/2) = ± $26.8
Volatility lies between $643.2 (670 – 26.8) and $696.8 (670 + 26.8)
b. If the actual market price of this option is $17.40, calculate its implied volatility coefficient.
One standard move = $17.4 * 16% * [(90/360)]^(1/2) = ± $0.7
Volatility lies between $16.8 (17.5 – 0.7) and $18.2 (17.5 +0.7)
c. Besides volatility estimation error, explain why your valuation and the option’s traded price might differ from one another.
The difference is due to changes in the time that may affect the one standard move of the given price of options.
MGMT 6150 Creating Sustainable Solutions Through Systems Thinking MGMT 6150 Creating Sustainable Solutions Through Systems Thinking
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