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Title: Investments
Description: Investments

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15
...

• Empirical knowledge of the financial markets: equity, fixed income
(default-free and defaultable) and their respective derivatives
...
; and
• Functional perspective: the financial system facilitates the allocation
and deployment of economic resources, across time and space and in
uncertain environment
...
The institutional dimension results
from the functional needs
...
g
...
g
...

• Pooling of resources to undertake large-scale indivisible enterprise
(equities, money market funds, mutual funds etc
...

• Dealing with agency problems, mitigate moral hazard, adverse selection and principal-agent based problems that are caused by asymmetry information or incentive mis-matches (collateralization, CEO
incentive for company performance etc
...
)

Institutional Perspective

The institutional compositions of the financial system includes:
• Financial markets: equity, fixed income (debt), credits and derivatives
• Financial intermediaries: banks, insurance companies, pension funds,
mutual funds, investment banks, venture capital firms, asset management firms and information providers etc
...

• Governmental and quasi-governmental organizations: SEC, central
banks (Federal Reserve System), the Bank for International Settlement (BIS), the International Monetary Fund (IMF), the World
Bank, etc
...
g
...
defined
contribution plans
...

• Two important characteristics: residual claim and limited liability;
• Sources of returns: dividends and capital gains;
• Calculating returns: buy at time 0 and pay P0 , sell at time T and

receive PT and dividend DT :

– The percentage return is calculated as:
rT =

PT + D T − P 0
PO

– The log-return is calculated as:


PT + D T
rT = ln
PO

(1)

(2)

For small rT , the log-return and percentage return are close
...
), e
...

Nasdaq, SP500, DAX, FTSE etc
...
g
...


• Some important empirical evidence:
– Patterns in the cross-section of stock return: value (value vs
...
large), momentum (low vs
...


9/6/1993

-2%

-7%

-12%

9/6/1993

11/6/1997

9/6/1997

7/6/1997

5/6/1997

3/6/1997

1/6/1997

11/6/1996

9/6/1996

7/6/1996

5/6/1996

3/6/1996

1/6/1996

11/6/1995

9/6/1995

7/6/1995

5/6/1995

3/6/1995

1/6/1995

11/6/1994

9/6/1994

7/6/1994

5/6/1994

3/6/1994

1/6/1994

11/6/1993

-2%

-7%

-12%
1/6/1999

3/6/2000

3/6/2000

SBTSY10

Figure 1: Daily returns of SP 500-index, Nasdaq-index and T-Bonds 10 years
9/12/2001

7/12/2001

5/12/2001

3/12/2001

1/12/2001

3/6/2001
5/6/2001

3/6/2001
5/6/2001

9/6/2001

9/6/2001

7/6/2001

1/6/2001

1/6/2001

7/6/2001

9/6/2000
11/6/2000

11/6/2000

7/6/2000

11/12/2000

9/6/2000

7/6/2000

5/6/2000

1/6/2000

1/6/2000

5/6/2000

9/6/1999

9/12/2000

7/12/2000

5/12/2000

3/12/2000

7/6/1999

11/6/1999

1/12/2000

11/6/1999

5/6/1999

9/6/1999

7/6/1999

11/12/1999

3/6/1999

1/6/1999

11/6/1998
3/6/1999

9/6/1998
11/6/1998

9/6/1998

5/6/1999

9/12/1999

7/12/1999

5/12/1999

3/12/1999

7/6/1998

3%
5/6/1998

8%
7/6/1998

SBTSY10

1/12/1999

CCMP

5/6/1998

3/6/1998

3%

1/6/1998

8%

3/6/1998

SPX

1/6/1998

11/6/1997

9/6/1997

7/6/1997

5/6/1997

3/6/1997

1/6/1997

11/6/1996

9/6/1996

7/6/1996

5/6/1996

3/6/1996

1/6/1996

11/6/1995

9/6/1995

7/6/1995

5/6/1995

3/6/1995

1/6/1995

11/6/1994

9/6/1994

7/6/1994

5/6/1994

3/6/1994

1/6/1994

11/6/1993

CCMP

11/12/1998

9/12/1998

7/12/1998

5/12/1998

3/12/1998

1/12/1998

11/12/1997

9/12/1997

7/12/1997

5/12/1997

3/12/1997

1/12/1997

11/12/1996

9/12/1996

7/12/1996

5/12/1996

3/12/1996

1/12/1996

11/12/1995

9/12/1995

7/12/1995

5/12/1995

3/12/1995

1/12/1995

Stocks and Bonds
SPX

8%

3%

-2%

-7%

-12%

30%

25%

25%

20%

20%
Probability

Probability

30%

15%
10%

15%
10%
5%

5%

0%

0%
-5%
-0
...
080

-0
...
040

-0
...
020

0
...
060

0
...
060

-0
...
020

-

0
...
040

0
...
080

Daily Returns
Current Distribution

Normal-Distribution

Normal-Distribution

Figure 2: Return distribution of US 10 Year Bond

Data source for Figures 1, 2, and 3: Bloomberg Professional
...


Figure 4: Cash Flows, Source: RiskM etricsT M , Technical Document, p
...
109

Treasury bills, notes and bonds vary in maturity
...


The value of a bond can be reported in terms of price or yield to maturity
...


Market Performance

Monthly returns 1926/7 to 2000/12


Equity Portfolio∗ Treasury Bills
Mean

0
...
31%

Standard Deviation

5
...
26%

Total Return

$1’828

$16
...
1
...
1
...
1
...
1
...
1
...
1
...
1
...


How do we describe the term-structure:
• Shift
• Twist
• Butterfly

8 Yr

9 Yr

10 Yr 15 Yr 20 Yr 30 Yr

1
...
1999

1
...
2000

The Federal Funds Target Rates (set by FOMC) and the Discount Rates:


8
...
00
6
...
00
4
...
00
2
...
00

FOMC

1/1/2003

7/1/2002

1/1/2002

7/1/2001

1/1/2001

7/1/2000

1/1/2000

7/1/1999

1/1/1999

7/1/1998

1/1/1998

7/1/1997

1/1/1997

7/1/1996

1/1/1996

7/1/1995

1/1/1995

7/1/1994

1/1/1994

7/1/1993

1/1/1993

7/1/1992

1/1/1992

7/1/1991

1/1/1991

0
...


Corporate Bonds

Corporate bonds are similar in structure to Treasury issues, with one
important difference: default risk
...

• The difference in yields is referred to as credit spread
...
g
...
)
• The probability of default varies over time!

Figure 8: Standard & Poor’s one year transition matrix, Source: RiskM etrics T M − T echnical Document, p
...


Derivatives

Overview of Derivatives by Structure:
• Forward and Futures;
• Options;
• Futures;
• Path dependent (e
...
look-back), etc
...
;
• Fixed-Income Derivatives: caps/floors, swaps, swaptions, etc
...
;
• Other derivatives: FX, weather, ”exotics”, etc
...

Currency instruments have generally spoken the same type of parameters, however with different characteristics, e
...
currency return volatility, which is not shaped in the same form as the equity return volatility
...
Empirical evidence supports the statement, that financial innovation does provide social wealth:
• It caters to the investment diversity desired by the investors;
• It improves the opportunities for investors to receive efficient riskreturn trade-offs;
• It provides risk management tools for all market participants; and
• It promotes broad distribution and liquidity to economic resources
...


Securitization of the mortgage market: The national mortgage market
and mortgage-backed securities transform the residential house finance
from fragmented, local-based sources to a free-flowing, international base
of capital with depth and usually a higher credit rating
...


Credit Enhancement

FleetBoston plays ”Good Bank/Bad Bank,” unloading $1
...


See the following figure how FleetBoston’s problem loans made their way
from Fleet’s books to a special collateralized-loan obligation, funded by
investors
...
35 billion in funded loans plus
$ 150 million in unfunded loans

Figure 10: Setting-up a special purpose vehicle
...
75 million in single-A rated bonds
$ 35
...
036 billion cash

Summary

What to learn in this course? Analytical modeling skills, quantitative
tools, and empirical knowledge about the financial market and the financial instruments
...

• Does financial innovation add value?
• Sometimes abusive usage of financial innovation causes disruptions
...


Focus:
BKM Chapters 1 & 2;
• p
...
19 (securitization);
• p
...
g
...
);

• p
...
);
Reader: Sharpe (1995);

Type of potential questions: p
...
questions 1, 5, 11, 17, 23


Preparation for Next Class

Please read:
• BKM Chapters 3 & 5,
• Fama (1995), and
• Kritzman (1993)
Title: Investments
Description: Investments