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You plan to invest​ $1,000 in a corporate bond fund or in a common stock fund. The information to the right about the annual return​ (per $1,000) of each of these investments under different economic conditions is​ available, along with the probability that each of these economic conditions will occur. Complete parts​ (a) through​ (d) below.   Probability Economic ConditionCorporate Bond Fund Common Stock Fund0.01 Extreme recession−200−9990.09 Recession−70−3000.15 Stagnation30−1000.35 Slow growth801000.30 Moderate growth901500.10 High growth100350a. Compute the expected return for the corporate bond fund and for the common stock fund.The expected return for the corporate bond fund is nothing.​(Round to two decimal places as​ needed.)The expected return for the common stock fund is nothing. ​(Round to two decimal places as​ needed.)b. Compute the standard deviation for the corporate bond fund and for the common stock fund.The standard deviation for the corporate bond fund is nothing.​(Round to two decimal places as​ needed.)The standard deviation for the common stock fund is nothing.​(Round to two decimal places as​ needed.)c. Would you invest in the corporate bond fund or the common stock​ fund? Explain.Based on the expected​ value, the  a. corporate bondb. common stock fund should be chosen. Since the standard deviation for the common stock fund is  a. less than half as much asb. about the same asc. more than three times greater than that for the corporate bond​ fund, the common stock fund  a. is safer thanb. is riskier thanc. has the same risk as the corporate bond fund and an investor  a. doesn’t need to considerb. should carefully weighc. the risk when making a decision.d. If you chose to invest in the common stock fund in​ (c), what do you think about the possibility of losing ​$999 of every​ $1,000 invested if there is an extreme​ recession?A.If you chose the common stock​ fund, you would need to assess your reaction to the high possibility that you could lose​ 50% of your entire investment.B.If you chose the common stock​ fund, you would need to assess your reaction to the high possibility that you could lose virtually all of your entire investment.C.If you chose the common stock​ fund, you would need to assess your reaction to the small possibility that you could lose virtually all of your entire investment.D.If you chose the common stock​ fund, you would need to assess your reaction to the small possibility that you could lose​ 50% of your entire investment. Math Statistics and Probability BUS 30.2