The Mathematics of Money

(Darren Dugan) #1

Copyright © 2008, The McGraw-Hill Companies, Inc.



  1. Four of the lines in the graph below show the value of $5,000 invested in each of the four individual companies. One of
    the lines shows the value of a portfolio composed of $1,250 in each stock. Which line represents the portfolio?


Value

Time

A B C D E

B. Asset Allocation

Use the table of return expectations by asset class from this section to answer the following questions.


  1. Suppose that a portfolio is invested 65% in equities, 25% in fi xed income, and 10% in cash. If we assume that each
    asset class earns the low-end rate of return from the table in this section, what would we expect the overall portfolio’s
    rate of return to be? What if each asset class earns the high-end rate of return?

  2. Jayeth intends to invest $200 a month into an investment account for the next 30 years. He expects his account value
    to grow to $700,000 in that time. If he allocates his investments 50% to stocks, 30% to fi xed income, and 20% to cash,
    is this a reasonable expectation? Justify your answer.

  3. If you invest in a portfolio of 45% equities, 30% fi xed income, and 25% cash, by what percent will your investment grow
    in value over the next year? (Be careful in answering this one.)

  4. Since equities have historically tended to provide a much higher rate of return than fi xed income or cash investments,
    why doesn’t everyone put all investment money in the stock market?


C. Basic Mutual Fund Calculations


  1. The Hopewell Diversifi ed Value Fund has total assets of $142,575,814. There are 3,475,912 shares outstanding. What
    is the NAV per share?

  2. The Hopewell International Equity Fund is a no-load open-end fund whose NAV is $42.66 per share. If Todd invests
    $3,000 in this fund, how many shares will be created?

  3. The Hopewell Emerging Markets Bond Fund is an open-end fund whose NAV is $103.59. The fund charges a 4.75%
    load. If Brenna invests $2,500 in this fund, how many shares will she own?


Exercises 6.4 299
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