In: Finance
You are analyzing the returns of a mutual fund portfolio for the past 5 years.
Year |
Return |
2014 |
-30% |
2015 |
-25% |
2016 |
40% |
2017 |
-10% |
2018 |
15% |
Question 6: What is the standard deviation of the returns? 29.28%
Question 7: Use Excel to compute the VaR at the 1% level (you can write the Excel formula as your work).
Answer Question 7 plz
Value at risk (VaR) is a measure of the risk of loss for investments. It estimates how much a set of investments might lose (with a given probability). For example, if a portfolio of stocks has a one-day 10% VaR of $5 million, that means that there is a 0.1 probability that the portfolio will fall in value by more than $5 million over a one-day period if there is no trading.
For the calculating VaR using excel follow the steps given below:
For calculating VaR we'll be requiring mean , standard deviation and confidence level.
1. First add the given data of historical returns on excel sheet:
Year | Return |
2014 | -30% |
2015 | -25% |
2016 | 40% |
2017 | -10% |
2018 | 15% |
2. Calculate the mean of the returns over the year using AVERAGE function, put the following formula in cell E1 :
Mean | -2% |
=AVERAGE(B2:B6) (see the image given below for better understanding)
3. Calculate the standard deviatiion of the
returns over the year using STDEV function, put
the following formula in cell E2 :
Stdev | 29.28% |
=stdev(B2:B6)
4. Finally, we calculate VaR for various confidence levels using NORM.INV function.This function has three parameters: confidence level, mean, and standard deviation. Put the following formula in cell E3 :
=NORMINV(1-D5/100,$E$1,$E$2)
Confidence level | VaR |
1 | 66.12% |
50 | -2.00% |
99 | -70.12% |
5. Thus, for 1% level the VaR value is 66.12%.