A. You have a $30,000 to invest in a portfolio. You want to put $12,000 investment into Pioneer (Pi) and an $18000 investment into Newton (N). Probability E(Rp) E(RN) State of the Economy Wi Boom Normal Recession Depression 0.15 0.55 0.15 0.15 6.00 10.00 13.00 14.00 14.00 9.00 0.00 -5.00 a. Calculate the portfolio expected return, E(Rp). b. Calculate the portfolio standard deviation, Op. c. Calculate the correlation coefficient. How does the correlation coefficient explain the results? d. Assume the correlations of -5,0,.5 and 1. Recalculate the portfolio risk measures with these correlations. Explain how your results change