Finance question: delta confidence interval

In summary, a delta confidence interval is a statistical measure used to estimate the range of values within which the true population parameter is likely to fall. It is calculated by adding or subtracting a certain amount (delta) from the point estimate of the parameter. This delta value is determined by the sample size, standard deviation, and desired level of confidence. The "delta" in a delta confidence interval represents the amount added or subtracted from the point estimate, often expressed as a percentage. This type of confidence interval differs from a regular confidence interval as it takes into account a specific delta value for a more precise estimation. The significance of choosing a delta value lies in its impact on the width and precision of the interval.
  • #1
mkkrnfoo85
50
0
Hi, if I have the confidence interval for the point estimate of an option price A which was found through simulation, can I also find a confidence interval for delta (dA/dS), where S is underlying asset price, without further simulation?

thanks,

sl
 
Physics news on Phys.org
  • #2
You can approximate dA(t)/dS(t) as (ΔA/Δt)/(ΔS/Δt), e.g. (A(t)-A(t-1))/(S(t)-S(t-1)) where t indexes successive simulation outputs.
 

Related to Finance question: delta confidence interval

What is a delta confidence interval?

A delta confidence interval is a statistical measure that represents the range of values within which the true value of a population parameter is likely to fall. It is calculated by adding or subtracting a certain amount (delta) from the point estimate of the parameter.

How is a delta confidence interval calculated?

A delta confidence interval is calculated by taking the point estimate of the population parameter and adding or subtracting the margin of error from it. The margin of error is determined by the sample size, standard deviation, and desired level of confidence.

What does the "delta" in delta confidence interval represent?

The "delta" in delta confidence interval represents the amount that is added or subtracted from the point estimate to determine the upper and lower bounds of the confidence interval. It is often expressed as a percentage of the point estimate.

How is a delta confidence interval different from a regular confidence interval?

A delta confidence interval differs from a regular confidence interval in that it takes into account a specific amount (delta) to be added or subtracted from the point estimate. This allows for a more precise estimation of the true population parameter.

What is the significance of choosing a delta value for a confidence interval?

The choice of delta value for a confidence interval is significant because it affects the width of the interval and the level of precision in the estimation of the population parameter. A larger delta value will result in a wider interval and a smaller delta value will result in a narrower interval.

Similar threads

  • Set Theory, Logic, Probability, Statistics
Replies
22
Views
3K
  • Set Theory, Logic, Probability, Statistics
Replies
2
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
1
Views
2K
  • Set Theory, Logic, Probability, Statistics
Replies
22
Views
5K
  • Set Theory, Logic, Probability, Statistics
Replies
7
Views
2K
  • Set Theory, Logic, Probability, Statistics
Replies
6
Views
2K
  • Set Theory, Logic, Probability, Statistics
Replies
2
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
1
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
7
Views
15K
  • Set Theory, Logic, Probability, Statistics
Replies
4
Views
2K
Back
Top