Question
As the Head of Investment for your company you are expected to compute the 10% value-at-risk for your companys portfolio containing two categories of assets.
As the Head of Investment for your company you are expected to compute the 10% value-at-risk for your companys portfolio containing two categories of assets. The first category includes stocks which are traded on the Ghana Stock Exchange (GSE) with an expected return of 12% and Standard Deviation (SD) of 10% per annum. The second category contains GoG Bonds with an expected return of 15% and Standard Deviation (SD) of 3% per annum. The annual correlation between the two categories of assets is 70% or .7. The total portfolio value is US$5 million. The total investment in the Ghana stock exchange is US$3 million and US$2 invested in bonds. The Z-value for a normal distribution curve for 90% confidential level is 1.282. The formula for computing Expected Rp= Wg (Xg) + Wb(Xb) and variance is SDp2 = (Wg)(Wg)(SDg)(SDg) + (Wb)(Wb)(SDb)(SDb)+ (Wb)(Wb)(SDb)(SDb)+2(Wg)(Wb)(SDg)(SDb)(p) and to compute VaR = E(R)-Z-value(SDp) (Total Invested Amount)
iv. Compute the portfolio expected rate of rate
v. standard deviation
vi. the value at risk
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