MTH 491B pp
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Transcript of MTH 491B pp
Asset/Liabilities
AnalysisBy: James Regan, Kelsey Hopper, Nolan
Dowd, Brett Edelbeck, Patrick BrodesserAdvisors: Tom McCallum and Albert Cohen
Overview
Changes We’ve Made MERS Overview Assets and Liabilities Predictions Future Groups Comments, Concerns, Questions
Changes We’ve made!
Introduced more historical data into model Strengthens our analysis and shows us
previously unseen information
New form of testing, using time series analysis
Explored several more options and looked at patterns/trends to help our predictions
MERS DATA
Using the appendix(MERS) and pension data, we matched most of the asset/liability values in the MERS Report. (See Excel doc)
To find amount of benefits paid out(payroll), used formula: Benefit Multiplier x FAC x Years of Service +(80% max FAC)
Difficulties matching valuation assets and payroll to MERS report
Asset and Liabilities Predictions
Predicted both assets and liabilities using a non-linear regression model
Gathered estimates from both models and took their ratio(assets/liabilities) to obtain a predicted funded ratio
1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 20200
10,000,00020,000,00030,000,00040,000,00050,000,00060,000,00070,000,00080,000,00090,000,000
100,000,000110,000,000120,000,000130,000,000140,000,000150,000,000160,000,000170,000,000
Assets vs. Liabilities(1979-2011)
Act. Acrr. Liabilities
Polynomial (Act. Acrr. Liabilities)
Valuation Assets
Polynomial (Valuation Assets)
Equations for Lines• assets= -6,421.306year^3 + 38,440,308.951year^2 - 76,701,416,415.023year + 51,012,118,586,785.500
• R² = 0.995
• liabilities = -4,701.535year^3 + 28,227,540.619year^2 - 56,485,383,617.588year + 37,672,974,716,973.600
• R² = 0.999
1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 202050,000,000
65,000,000
80,000,000
95,000,000
110,000,000
125,000,000
140,000,000
155,000,000
170,000,000
185,000,000
200,000,000
215,000,000
Assets vs. Liabilities(1997-2011) w/ order3 assets and simple liabilities trend
Act. Acrr. Liabilities
Linear (Act. Acrr. Liabili-ties)
Valuation Assets
Polynomial (Valuation Assets)
Equations for Lines• assets = 5705.9year^3 - 3E+07year^2 + 7E+10year - 5E+13
• R² = 0.9842
• liabilities = 6E+06year - 1E+10
•R² = 0.9976
1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012
-2,000,000
0
2,000,000
4,000,000
6,000,000
8,000,000
10,000,000
12,000,000
14,000,000
Yearly Changes(1979-2010)
L(t+1)-L(t)
A(t+1)-A(t)
1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 20140.4
0.5
0.6
0.7
0.8
0.9
1
1.1
Realized Assets/Liabilities Ratio(1979-2011)
100% Funded Line
1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 20200.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
Predicted assets/liability ratio(1979-2018)
y = 0.0001x3 - 0.004x2 + 0.0177x + 0.8222R² = 0.9693 percentfunded = 0.0001year^3 - 0.004year^2 +
0.0177year + 0.8222
R² = 0.9693
Things Future Groups Could Do!
“It’s the future, the possibilities are endless” Look at investment data from MERS to better predict an
asset return Monte Carlo simulation
Read closer into inflection points to deduce causal effects Inflection point- where a graph switches from increasing to
decreasing
Find a way to incorporate mortality tables Would need to be given more information on individual
employees per division Mortality tables would show when certain liabilities’ would
be freed up.
Comments/Concerns/Questions
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