
This page contains financial and investment models for
educational purposes. It will be constantly updated, so please come back
to see what is new. In order to use the links, you will need to have MS Excel
installed on your computer. Simply press on the red link for any model,
and it will download to your computer.
- 1. In this very basic model we look at variation; how
variation can decrease portfolio variation, and some basic properties of
Gaussian probability distributions. See chapter 5 of Investing in the Real World: Practice and
Theory by C. L. Mattoli ©
2004 for more details on these concepts. Click on the link, below to pull
up the Excel sheets.
Rudiments of Variation.xls
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2. In this workbook we look at some basics of bond valuation, including the
concept of bond duration. The worksheets are set up so that the user
can vary the basic data and view the changing results in number and
graphical form. See chapters 3, 5, 9, and 10 of Investing in the Real World: Practice and
Theory by C. L. Mattoli ©
2004 for more
details on these and associated concepts. (Press the link, below, to
pull up workbook).
Bond Basics.xls
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3. In this spreadsheet, we show how return varies with risk, in the form of
standard deviation, for perfectly correlated, perfectly anti-correlated, and
zero-correlated assets in a two-asset portfolio. See chapters 5 and 10
of Investing in the Real World: Practice and
Theory by C. L. Mattoli ©
2004 for more information on formal portfolio theory for multiple assets.
Two-Asset Portfolio Curves.xls
- 4. In this spreadsheet model, we demonstrate the analysis and construction
of the Security Market Line (SCL). The
SCL is found by looking at the returns of a stock versus the returns of the
market, in this case, the NYSE Index. A
regression analysis is performed to find a line fit, which is the SCL.
The intercept is the alpha of the stock, while the slope of the line
is the so-called beta of the stock. Then,
we also perform the calculations for excess returns of the stock versus the
market, where the excess is the return, above the riskless rate, which is
taken to be the yield on the one year constant-maturity Treasury bill rate.
This corresponds to beta for the Capital Asset Pricing Model (CAPM).
We have performed the calculations for monthly returns for IBM and
MMM, annualized by multiplying by a factor of 12.
We have included extra data for IBM and MMM; more data for the NYSE
Index can be found at the NYSE website:
www.nyse.com.
More information about these and similar methods of stock return analysis
can be found in chapter 5 of Investing in the Real World: Practice and
Theory by C. L. Mattoli ©
2004. Click on the link, below to pull
up the Excel sheets. (Press on link, below)
IBM & MMM Alpha & Beta.xls
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5. In this spreadsheet, we look at a world in which
there are only two stocks, ABC and XYZ, in order to demonstrate some basic
securities models. We calculate
the so-called efficient frontier for portfolios of the two stocks.
From the efficient frontier, we calculate the optimal portfolio and
the Capital Allocation Line (CAL) along which lie the most efficient
completed portfolios of risky and riskless investments.
We analyze the changes in portfolio composition for various prices of
the two stocks, and work up an implied demand schedule for the stocks.
We also consider how a market index investor, who composes a
portfolio that is weighted in the same manner as the stocks are capitalized
in the market. We look at a
market index of the two stocks. In
addition, we look at the differences of another investor, who has a
different required return. We
look at demand schedules of the various investors, and we consider how large
investment funds might act to supply the other based on the assumption that
the funds have been put together at lower prices.
More information about these and similar methods of portfolio
analysis can be found in chapters 5 and 10 of Investing in the Real
World: Practice and Theory by C. L. Mattoli
© 2004. (Press on link,
below.)
Demand for 2 Stocks.xls
- 6. In this model we use monthly returns of stocks and the market, in the
guise of the NYSE Index, to calculate security characteristic lines
(SCL'S). From those calculations we form the security market line
(SML). In truth, we have used only the capital gains and have not
included dividends, which, technically, we should have, but our aim is a
simple demonstration of the methods, involved. Although the model is simplified in its assumptions, it serves
to exemplify how these methods can be put to practical use. More information about these and similar methods of stock return analysis
can be found in chapters3 and 5 of Investing in the Real World: Practice and
Theory by C. L. Mattoli ©
2004. (Press on link,
below)
SML.xls
- 7. In this spreadsheet model we examine the Black Scholes
options model. The spreadsheet is interactive. You can put in
numbers for stock, option exercise price, the riskless rate, and volatility,
and the BS value is computed. In addition, the program automatically
generates a list of option prices versus stock price and charts of the BS
value versus intrinsic value. More information about these and similar methods of stock return analysis
can be found in chapters3 and 5 of Investing in the Real World: Practice and
Theory by C. L. Mattoli ©
2004. (Press on link,
below)
Basic Options.xls
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8. I find that many of my students,
beginning or intermediate, have trouble with the idea of an installment loan as
the present value of payments, present value annuity (PVA). Then, when
they actually do understand that, the idea of loan amortization, again, eludes
them. In this spreadsheet example, we look at an installment loan
amortization table that explains what the idea of PVA actually is in terms of
the payments: interest and principal.
Installment Loan Amortization Table Example.xls