FIN 4504 Homework 1

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Florida State University *

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4504

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Finance

Date

Apr 3, 2024

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pdf

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2

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FIN 4504 Investments Homework Assignment 1 The grade received on a homework submission will depend upon whether you submitted the Homework on time, the effort put forth, and the correctness of the answers to the questions that are asked. Be sure to respond to all questions. 1. Consider a stock index comprised of three stocks: A, B, and C. Information pertaining to the three stocks is provided below: Security # of Shares Initial Price Price in 1 Year A 2,750,000 $34 $42 B 3,100,000 $66 $80 C 3,800,000 $118 $110 Compute the return on the index over the year: a. for a price-weighted average like the Dow. b. for a value-weighted index like the S&P 500 Index. c. for an equally-weighted index. 2. XYZ stock traded last at $30.00 per share. a. Provide an example of a buy limit order that you might place, and indicate how it would work. b. Suppose you bought XYZ's stock at $30.00 per share. Explain the stop order that you would place if you wanted to limit any loss in XYZ to a maximum of $5 per share. 3. You sell 100 shares of a stock short at a price of $70 per share. a. Provide an example of a limit order you might place right after you took the position and indicate how it would work. b. Provide an example of a stop order you might place right after you took the position and indicate how it would work. c. After three months, the stock is selling for $64 per share. During the three months you have had the short position the stock paid a dividend of 50 cents per share. What is your total dollar gain or loss on the short position over the three months? (Don't worry about any margin interest.) 4. You execute a margin purchase of 200 shares of a stock at $62 per share. The initial margin requirement is 60% and the maintenance margin is 40%. a. On a per share basis, what is the minimum amount you must you put up and how much can you borrow from the brokerage house? b. If the price of the stock increases to $65 per share, what is the actual margin in your account? Assume you borrowed the maximum amount possible when taking the position initially.
c. How far can the stock price fall prior to your receiving a margin call? (Note, ignore any interest expense when calculating actual margins.) d. Suppose you hold your initial position for one year, at which time the stock is selling for $70 per share. During the year the stock paid a dividend of fifty cents. The interest rate on your loan was 8% annually. Calculate the percentage return on your investment. Then calculate the percentage return on your investment if you had made a cash purchase originally instead of a margin purchase. Explain the difference in the returns. e. Repeat part d leaving everything as before except now assume an ending stock price of $55 per share. Explain why the two returns differ as they do. Use the end of year price and dividend data (dividend paid during year) provided below for the common stocks of Norvell and Napier to respond to the questions 5 through 9. Norvell Napier Date Close Price Dividend Close Price Dividend 12/31/2018 32.00 30.00 12/31/2019 37.45 1.02 33.45 0.98 12/31/2020 34.35 1.22 28.87 1.10 12/31/2021 42.15 1.42 37.93 1.22 12/31/2022 38.70 1.62 42.26 1.34 12/31/2023 45.23 1.82 39.41 1.46 5. Compute the annual holding period returns for 2019 through 2023 for each stock. 6. Compute the arithmetic mean annual return and the geometric mean annual return over the five year period for each stock. 7. Compute the standard deviation of the annual returns over the five-year period for each stock. 8. Assuming that the inflation rate was 6.85% in 2023, what was the "real rate of return" on Norvell ’s common stock in 2023? 9. Given that the annual yield on a one-year Treasury Note in 2023 was 4.96%, what was the ex post risk premium on Napier s common stock in 2023? 10. Direct your browser to Yahoo!Finance or some other similar site and pull up the company report for Apple Inc. (AAPL). a. What is Apple ’s average daily trade volume? b. What is Apple ’s Market Capitalization? c. What is Apple ’s Profit Margin? d. What were Apple ’s latest diluted earnings per share (EPS)? e. What is Apple ’s Forward P/E? What is the interpretation of this number?
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