A stock price is $100. Volatility is estimated to be 20% per year. What is the an estimate of the standard deviation of the change in the stock price in one week?

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Answer: if I’m correct the answer is $0.38

Step-by-step explanation:

The estimate of the standard deviation of the change in the stock price in one week is $2.77.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Stock price = $100

Volatility = 20% ⇒ 0.20

We know the standard deviation of change in the stock price is given by:

[tex]\rm = \frac{stock \ price \times implied \ volatility \times \sqrt{days \ to \ change} }{\sqrt{365} }[/tex]

[tex]\rm = \frac{100\times 0.20\times\sqrt{7} }{\sqrt{365} }[/tex]   (1 week = 7 days)

= 5.2343×0.20×2.646

= 2.7699 ≈ $2.77

Thus, the estimate of the standard deviation of the change in the stock price in one week is $2.77.

Learn more about the standard deviation here:

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