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Courses in this program
MITx's Finance MicroMasters® Program
Foundations of Modern Finance I
Foundations of Modern Finance II
Financial Accounting
Mathematical Methods for Quantitative Finance
Derivatives Markets: Advanced Modeling and Strategies
MicroMasters
15.401 Finance Theory
MIT Sloan MBA Program
Andrew W. Lo
Harris & Harris Group Professor, MIT Sloan School
Lecture 1: Introduction and Course Overview
© 2007-2008 by Andrew W. Lo
The first one is
Finance Theory 1,
and it covers
the core of modern
economics, asset
economics, asset
valuation methods
Fixed-Income Security
[fikst 'in-kam si-'kyur-a-te]
An investment that provides
fixed periodic interest payments
and the eventual return of
principal at maturity.
fixed income
securities,
The Basics of Common Stocks
Shares of ownership of
a corporation
Lets stockholders vote on corporate
governance and the board of directors
including voting on takeover bids
Allow for ownership of a portion of the
company without taking possession
Many corporations also give
stockholders dividend payouts
Investopedia
common stocks,
Capital Budgeting
[ka-pa-tal 'ba-jat-in]
The process a business
undertakes to evaluate
potential major projects
or investments.
and capital budgeting.
Capital Asset Pricing Model (CAPM)
Cost of Equity (ke) = rf + B (rm - rf)
rf -> Risk-Free Rate
B -> Beta
rm -> Market Return
(rm - rf) -> Equity Risk Premium (ERP)
It also gets into
diversification,
selection,
and how risky
assets get priced.
MIT SLOAN SCHOOL OF MANAGEMENT
Advanced Analytics of Finance
Hui Chen
15.457
Spring 2019
Problem Set 3
(Due: 2:30 PM, Tuesday, April 2)
1. Short questions.
(a) True or false (explain in words, not formula): A longer estimation window helps
us estimate the baseline model coefficients more precisely, which in turn reduces
the variance of the observed returns in the event window. Thus, we should make
the estimation window as long as possible.
(b) In an event study of stock returns around earnings announcements, how should
we deal with the fact that multiple firms could announce their earnings on the
same days?
The second one is
analytics of
finance, covering
Econometrics
[e-ka-na-me-triks]
The use of statistical
methods to develop
theories or test existing
hypotheses in economics
or finance.
econometrics,
Monte Carlo
Simulation
[man-te 'kar-lo sim-ya-'la-shan]
used to predict
the probability of a variety
of outcomes when the
potential for random
variables is present.
Monte Carlo
simulations, and
Investopedia
Wolfram MathWorld
Quantum Stochastic Calculus
Let B, be a one-dimensional Brownian motion.
Integration with respect to B, was defined by Ito (1951). A basic result of the theory is that
stochastic integral equations of the form
X, = Xo + S. o(s, X,)ds + S. o(s, X,)dB,
can be interpreted as stochastic differential equations of the form
dX, = b(t, X,)dt + o(t, X,)dB,
where differentials are handled with the use of Ito's formula
dB,2 = dt
dB, dt = dt d B, = 0 (dt)2 = 0
Hudson and Parthasarathy (1984) obtained a Fock space representation of Brownian
motion and Poisson process over
calculus.
Portfolio
Management
[port-fo-le-o 'ma-nij-mant]
science of
overseeing
a group of investments
that meet the long-term
financial objectives and
risk tolerance of a client,
a company, or an institution.
Investopedia
These are the same
tools used in
management and
trading.
Proprietary
Trading
[pra-pri-a-ter-e 'tra-din]
A financial firm or bank
that invests for direct market
gain rather than
earning commissions or
fees by trading on
the behalf of clients.
Investopedia
The third one is
investments,
and it focuses on
evidence behind
actual investment
decisions.
Modern Portfolio
Theory
[ma-dern port-fo-le-o the-e-re]
A practical method for
selecting investments in
order to maximize their
overall return within an
acceptable level of risk.
portfolio theory,
the capital asset
pricing model,
Capital Asset
Pricing Model
(CAPM)
[ka-pa-tal 'a-set
'pri-sin 'ma-dal]
ical model
that estimates the
expected return of an
investment based on its
riskiness relative to the rest
of the market.
Investopedia
Market
Efficiency
[mar-kat 'e-fi-shan-se]
The degree to which
market prices reflect
all available, relevant
information.
and more.
Together, these
three courses
foundation finance
majors spend
years building.
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