​(a) Find the value at risk​ (VaR) for an investment of​ $100,000 at 3 ​%. ​(That is, find out how low the value of this investment could be if the worst ​3% of outcomes are ruled​ out.) The...

​(a) Find the value at risk​ (VaR) for an investment of​ $100,000 at 3 ​%. ​(That is, find out how low the value of this investment could be if the worst ​3% of outcomes are ruled​ out.) The investment is expected to grow during the year by ​8% with SD ​20%. Assume a normal model for the change in value. ​(b) To reduce the VaR to ​17000$​, how much more expected growth would be​ necessary? Assume that the SD of the growth remains ​20%. ​(a) The value at risk​ (VaR) for an investment of​ $100,000 at ​3% is ​$ nothing. ​(Round to the nearest thousand dollars as​ needed.) ​(b) The necessary expected growth to reduce the VaR to ​$ is to 17000​%. ​(Round to the nearest percent as​ needed.)