The Case You have recently graduated from college, and your job search led you to East Coat Yachts. Since you left the companys business was seaworthy, you accepted a job offer. The first day on the job, while you are finishing your employment paperwork, Dan Ervin, who works in Finance, stops by to inform you about the companys 401(k) plan. A 401(k) plan is a retirement plan offered by many companies. Such plans are tax-deferred savings vehicles, meaning that any deposits you make into the plan are deducted from your current pretax income, so no current taxes are paid on the money. For example, assume your salary will be $50,000 per year. If you contribute $3,000 to the 401(k) plan, you will only pay taxes on $47,000 in income. There are also no taxes paid on any capital gains or income while you are invested in the plan, but you do pay taxes when you withdraw money at retirement. As is fairly common, the company also has a 5% match. This means that the company will match your contribution up to 5% of your salary, but you must contribute to get the match. The 401 (k) plan has several options for investments, most of which are mutual funds. A mutual fund is a portfolio of assets. When you purchase shares in a mutual fund, you are actually purchasing partial ownership of the funds assets. The return of the fund is the weighted average of the return of the assets owned by the fund, minus any expense. The largest expense is typically the management fee, paid the fund manager. The management fee is compensation for the manager, who makes all of the investment decisions for the fund. East Coast Yachts uses Bledose Financial Services as its 401(k) plan administrator. The investment options offered for employees are discussed below. Company Stock: One option in the 401(k) plan is stock in East Coast Yachts. The company is currently privately held. However, when you have interviewed with the owner, Ms. Larissa Warren, she informed you the company stock was expected to go public in the next three to four years. Until then, a company stock price is a simple set each year by the board of directors.

Bledose S&P 500 Index Fund: This mutual fund tracks the S&P 500. Stocks in the fund are weighted exactly the same was the S&P 500. This means the fund return is approximately the return on the S&P 500, minus expenses. Since an index fund purchases assets based on the composition of the index it is following, the fund manager is not required to research stocks and make investment decisions. The result is that the fund expenses are usually low. The Bledose S&P 500 Index Fund charges expenses of 0.15% of assets per year. Bledose Small Cap Fund: This fund primarily invests in small-capitalization stocks. As such, the returns of the fund are more volatile. The fund can also invest 10% of its assets in companies based outside the United States. This fund charges 1.70% in expenses. Bledose Large Company Stock Fund: This fund invests primarily in large-capitalization stocks of companies based in the United States. The fund is managed by Evan Bledose and has outperformed the market in six of the last eight years. The fund charges 1.50% in expenses. Bledose Bond Fund: This fund invests in long-term corporate bonds issued by U.S. domiciled companies. The fund is restricted to investments in bonds with an investment-grade credit rating. This fund charges 1.40% in expenses. Bledose Money Market Fund: This fund invests in short-term, high credit quality debt instruments, which include Treasury bills. As such, the return on the money market fund is only slightly higher than the return on Treasury bills. Because of the credit quality and short-term nature of the investments, there is only a very slight risk of negative return. The fund charges 0.60% in expenses.

A measure of risk-adjusted performance that is often used is the Sharpe Ratio. The Sharpe Ratio is calculated as the risk premium of an asset divided by its standard deviation. The standard deviation and return of the funds over the past 10 years are listed below. Calculate the Sharpe ratio for each of these funds. You may assume the risk-free rate at 3%.