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value at risk

Jjudezz9111y ago
kindly explain how we derive 1.65 value for a 95% confidence level? how to use the standard normal distribution table to find this.
Qquestforknowledge11y ago#1
i will try to explain it to you in simple english. 95% confidence level means there is a 5% chance of making a loss. from the shape of the normal diagram there is a 50% chance that some will be above the mean and 50% chance that some will be below. those above the mean are the positive ones and those below are the negative ones. since we a looking at the negative side of things ie if things go wrong, thus subract 5% from 50 and you will get 45% which is 0.45 go to your normal distribution table and look for the figure that will give you 0.45. you will find that it lies between 1.64 will give you 0.04495 and 1.65 wil give you 0.4505. i hope it helps NOW I WILL ADD THIS TO THE QUESTION IF ANYONE CAN HELP WHAT IS THE SIGNIFICANCE OF THIS 1.65
Jjudezz9111y ago#2
Thanks mate!! that was a well brief explanation :)
John MoffatJohn MoffatTutor11y ago#3
The significance of the 1.65 is that the 'cut-off' (the amount that there is a 5% chance of being below) is 1.65 x the standard deviation below the average.
Qquestforknowledge11y ago#4
so if the mean was say 50000 and standard deviation say 15%
John MoffatJohn MoffatTutor11y ago#5
The standard deviation need to be in $'s
Qquestforknowledge11y ago#6
so if the mean is 50000 and the standard devaition is say 5000 it means with a 95% confidence level, there is a 5% chance that the maximum loss will be 1.65 x 5000 = 8250. am i right?
John MoffatJohn MoffatTutor11y ago#7
Almost. There is a 5% chance of it being below 50,000 - 8250 = 41750
Qquestforknowledge11y ago#8
thank you John for the time you have granted me
John MoffatJohn MoffatTutor11y ago#9
You are welcome :-)
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