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1 Mary and Nick Stalcheck have an investment portfolio containing 4 investments. It was developed to provide them with a balance between current income and capital appreciation. Rather than acquire mutual fund shares or diversify within a given class of investments, they developed their portfolio with the idea of diversifying across various asset classes. The portfolio currently contains common stock, industrial bonds, mutual fund shares, and options. They acquired each of these investments during the past 3 years, and they plan to purchase other investments sometime in the future. Currently, the Stalchecks are interested in measuring the return on their investment and assessing how well they have done relative to the market. They hope that the return earned over the past calendar year is in excess of what they would have earned by investing in a portfolio consisting of the S&P 500 Stock Composite Index. Their research has indicated that the risk-free rate was 7.2% and that the (before-tax) return on the S&P 500 portfolio was 10.1% during the past year. With the aid of a friend, they have been able to estimate the beta of their portfolio, which was 1.20. In their analysis, they have planned to ignore taxes because they feel their earnings have been adequately sheltered. Because they did not make any portfolio transactions during the past year, all of the Stalchecks's investments have been held more than 12 months, and they would have to consider only unrealized capital gains, if any. To make the necessary calculations, the Stalchecks have gathered the following information on each investment in their portfolio. Common stock. They own 400 shares of KJ Enterprises common stock. KJ is a diversified manufacturer of metal pipe and is known for its unbroken stream of dividends. Over the past few years, it has entered new markets and, as a result, has offered moderate capital appreciation potential. Its share price has risen from $17.25 at the start of the last calendar year to $18.75 at the end of the year. During the year, quarterly cash dividends of $0.20, $0.20, $0.25, and $0.25 were paid. Industrial bonds. The Stalchecks own 8 Cal Industries bonds. The bonds have a $1,000 par value, have a 9.250% coupon, and are due in 2024. They are A-rated by Moody's. The bonds were quoted at 97.000 at the beginning of the year and ended the calendar year at 96.375%. Mutual fund. The Stalchecks hold 500 shares in the Holt Fund, a balanced, no-load mutual fund. The dividend distributions on the fund during the year consisted of $0.60 in investment income and $0.50 in capital gains. The fund's NAV at the beginning of the calendar year was $19.45, and it ended the year at $20.02. Options. The Stalchecks own 100 options contracts on the stock of a company they follow. The value of these contracts totaled $26,000 at the beginning of the calendar year. At year-end the total value of the options contracts was $29,000. Questions a. Calculate the holding period return on a before-tax basis for each of these 4 investments. b. Assuming that the Stalchecks's ordinary income is currently being taxed at a combined (federal and state) tax rate of 38% and that they would pay a 15% capital gains tax on dividends and capital gains for holding periods longer than 12 months, determine the after-tax HPR for each of their 4 investments. c. Recognizing that all gains on the Stalchecks's investments were unrealized, calculate the beforetax portfolio HPR for their 4-investment portfolio during the past calendar year. Evaluate this return relative to its current income and capital gain components. d. Use the HPR calculated in question c to compute Jensen's measure (Jensen's alpha). Use that measure to analyze the performance of the Stalchecks's portfolio on a risk-adjusted, marketadjusted basis. Comment on your finding. Is it reasonable to use Jensen's measure to evaluate a 4-investment portfolio? Why or why not? e. On the basis of your analysis in questions a, c, and d, what, if any, recommendations might you offer the Stalchecks relative to the revision of their portfolio? Explain your recommendations. 2 Hector Francisco is a successful businessman in Atlanta. The box-manufacturing firm he and his wife, Judy, founded several years ago has prospered. Because he is self-employed, Hector is building his own retirement fund. So far, he has accumulated a substantial sum in his investment account, mostly by following an aggressive investment posture. He does this because, as he puts it, \"In this business, you never know when the bottom's gonna fall out.\" Hector has been following the stock of Rembrandt Paper Products (RPP), and after conducting extensive analysis, he feels the stock is about ready to move. Specifically, he believes that within the next 6 months, RPP could go to about $80 per share, from its current level of $57.50. The stock pays annual dividends of $2.40 per share. Hector figures he would receive 2 quarterly dividend payments over his 6-month investment horizon. In studying RPP, Hector has learned that the company has 6-month call options (with $50 and $60 strike prices) listed on the CBOE. The CBOE calls are quoted at $8 for the options with $50 strike prices and at $5 for the $60 options. Questions a. How many alternative investments does Hector have if he wants to invest in RPP for no more than 6 months? What if he has a 2-year investment horizon? b. Using a 6-month holding period and assuming the stock does indeed rise to $80 over this time frame: 1. Find the value of both calls, given that at the end of the holding period neither contains any investment premium. 2. Determine the holding period return for each of the 3 investment alternatives open to Hector Francisco. c. Which course of action would you recommend if Hector simply wants to maximize profit? Would your answer change if other factors (e.g., comparative risk exposure) were considered along with return? Explain