Your next-door neighbor, Scott Jansen, has a 12-year-old daughter, and he wants to pay the tuition for her first year of college 6 years from now. The tuition for the first year will be $17,500. Scott has gone through his budget and finds that he can invest $200 per month for the next 6 years. Scott has opened accounts at two mutual funds.The first fund follows an investment strategy designed to match the return of the S&P 500. The second fund invests in short-term Treasury bills. Both funds have very low fees. Scott has decided to follow a strategy in which he contributes a fixed fraction of the $200 to each fund.
An adviser from the first fund suggested that each month he invest 80% of the $200 in the S&P 500 fund and the other 20% in the T-bill fund. The adviser explained that the S&P 500 has averaged much larger returns than the T-bill fund. Even though stock returns are risky investments in the short run, the risk would be fairly minimal over the longer 6-year period. An adviser from the second fund recommended just the opposite: invest 20% in the S&P 500 fund and 80% in T-bills, he said. Treasury bills are backed by the U.S. government. If you follow this allocation, he said, your average return will be lower, but at least you will have enough to reach your $17,500 target in 6 years. Not knowing which adviser to believe, Scott has come to you for help.
Questions
1. The file College.xlsx contains 261 monthly returns of the S&P 500 and Treasury bills from January 1970 through September 1991. (If you can find more recent data on the Web, feel free to use it.) Suppose that in each of the next 72 months (6 years), it is equally likely that any of the historical returns will occur. Develop a spreadsheet model to simulate the two suggested investment strategies over the 6-year period. Plot the value of each strategy over time for a single iteration of the simulation. What is the total value of each strategy after 6 years? Does either of the strategies reach the target?
2. Simulate 1000 iterations of the two strategies over the 6-year period. Create a histogram of the final fund values. Based on your simulation results, which of the two strategies would you recommend? Why?
3. Suppose that Scott needs to have $19,500 to pay for the first year’s tuition. Based on the same simulation results, which of the two strategies would you recommend now? Why?
4. What other real-world factors might be important to consider in designing the simulation and making a recommendation? ■