Investment Options like to invest it while she continues her fund-raising in hopes of starting to bere company one year from now. She wants to do due diligence and wasterstand the risk of each of her investment options. After speaking with her chare a $30,000 finance, she believes that she has three choices: (1) she can parchase a s30, in payback but also has greater volatility. Each of her options will yield a differene payback on her $30,000, depending on the state of the economy. During the next year, she knows that the CD yields a constant annual per. centage rate, regardless of the state of the economy. If she invests in a balanced mutual fund, she estimates that she will earn as much as 12% if the economy remains strong, but could possibly lose as much as 4% if the economy takes downturn. Finally, if she invests all $30,000 in a growth stock, experienced investors tell her that she can earn as much as 40% in a strong economy, but may lose as much as 40% in a poor economy. Estimating these returns, along with the likelihood of a strong economy, is challenging. Therefore, a "sensitivity analysis" is often conducted, where fig. ures are computed using a range of values for each of the uncertain parameters in the problem. Following this advice, this investor decides to compute measures for a range of interest rates for CDs, a range of returns for the mutull fund, and a range of returns for the growth stock. In addition, the likelihood of a strong economy is unknown, so she will vary these probabilities as well. Assume that the probability of a strong economy over the next year is 0.3, 0.5, or 0.7. To help this investor make an informed decision, evaluate the epected value and volatility of each of her investments using the following rangs of rates of growth: CD: Look up the current annual rate for the return on a 3-year CD and use this value 0.5%. Mutual Fund: Use values of 8%,10%, and 12% for a strong economy and values of 0%,2%, and 4% for a weak economy. Growth Stock: Use values of 10%,25%, and 40% in a strong economy and values of 10%,25%, and 40% in a weak economy. Discuss the expected returns and uncertainty of each of the alternative in vestment options for this investor in each of the scenarios you analyzed. Be surte to compare the volatility of each of her options