May 24, 2012 Faculty of Business Administration and Economics Yield Spreads, Value of Bonds, and...
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May 24, 2012
Faculty of Business Administration and Economics
Yield Spreads, Value of Bonds, and Implications for Liquidity
ManagementProf. Dr. Mario Strassberger
Finance and Financial Services
Slide 1
Conference “International Competition in Banking: Theory and Practice”
May 24-25, 2012, Ukrainian Academy of Banking, Sumy
May 24, 2012 Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
Structure of the Talk
1 Introduction2 Design and Data3 Results4 Conclusion
Slide 2
May 24, 2012
1 Introduction
Bond portfolios in financial institutes- Means of liquidity reserve- Assuring refinancing with the Central Bank, i.e. ECB
Considerable losses to the value of bond portfolios during the crisis
Requirements and recommendations for liquidity risk of the banking supervision (Basel Committee 2008, 2009; CEBS 2008)
One of the key demands: Maintenance of an adequate level of liquidity
What dos “adequate” mean? Reliable estimation of haircuts on bond values
Slide 3Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
May 24, 2012
2 Design and Data (1)
Bloomberg Fair Market Curves™- Sector: EUR Composite- Credit qualities: AAA, AA, A and BBB- Maturities: 1Y, 3Y, 5Y, 7Y, 10Y, 15Y and 20Y- Benchmark: Government Curve
Two data sets- Jan 04 – Jul 07 (Set 1, 1,308 observations)- Aug 07 – Dec 10 (Set 2, 1,249 observations)
Yield spread at time
Slide 4
govcompttt rrs
tts
Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
May 24, 2012
2 Design and Data (2)
Example of time series
Slide 5
0,00
1,00
2,00
3,00
4,00
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01.0
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Yields at maturity 1Y
Gov AAA AA A BBB
Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
May 24, 2012
2 Design and Data (3)
Example of time series
Slide 6
0,00
0,50
1,00
1,50
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Yield spreads at maturity 1Y
AAA AA A BBB
Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
May 24, 2012
2 Design and Data (4)
1) Estimating exp. spreads and p-quantiles of the spread distr. (Set 1) Identifying max. observed spreads (Set 2)
2) Calculating relative changes in Present Value of zero bonds caused by spread expansions
and interpreting as haircut
Slide 7
ttt
tsr
PVexpgov
exp
1
1
ttt
tsr
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max
1
1
tPV
expts
maxts
exp
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t
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PV
PVPVH
Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
May 24, 2012
3 Results (1)
Slide 8Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
1Y 3Y 5Y 7Y 10Y 15Y 20Y
AAA 12.14 16.81 18.94 18.59 21.36 20.10 31.36
AA 17.08 24.03 25.38 25.28 29.85 35.61 42.32
A 23.72 34.41 39.00 40.72 48.86 59.77 67.92
BBB 38.25 57.39 70.93 78.87 94.61 110.20 132.63
Table 1 Expected yield spreads in basis points
1Y 3Y 5Y 7Y 10Y 15Y 20Y
AAA 26.86 23.41 32.46 30.13 40.19 36.92 49.96
AA 32.10 38.60 45.56 43.01 52.72 52.11 79.65
A 43.73 52.44 62.05 60.61 77.52 99.78 105.08
BBB 81.49 105.69 116.76 111.51 129.35 170.48 260.66
Table 2 99.99%-quantile of the yield spread distributions in basis points
Considering Set 1
May 24, 2012
3 Results (2)
Spreads up to 13 times higher than expected (regular market cond.)
Increase in spreads mainly driven by liquidity premiums
Slide 9Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
Considering Set 2
1Y 3Y 5Y 7Y 10Y 15Y 20Y
AAA 200.60 156.50 299.40 144.10 142.90 121.90 75.20
AA 215.60 174.80 320.90 183.70 195.00 144.65 137.98
A 285.00 267.80 335.20 265.00 272.00 266.40 214.90
BBB 391.08 398.50 412.60 432.20 461.20 403.30 444.40
Table 3 Maximum observed yield spreads in basis points
May 24, 2012
3 Results (3)
Slide 10
,00%
20,00%
40,00%
60,00%
80,00%
100,00%
120,00%
0
100
200
300
400
500
600
700
800
900
Empirical frequency of yield spreads (AAA, 1Y)
Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
May 24, 2012
3 Results (4)
Haircuts of up to 25% for investment grade bonds
Ex ante underestimation of spreads and haircuts (regular market cond.)
Slide 11Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications
Calculated haircuts
1Y 3Y 5Y 7Y 10Y 15Y 20Y
AAA -1.04 -2.55 -8.91 -5.96 -8.40 -10.37 -6.01
AA -1.09 -2.75 -9.36 -7.45 -11.22 -11.05 -12.62
A -1.43 -4.21 -9.37 -10.35 -14.81 -19.80 -18.65
BBB -1.92 -6.07 -10.69 -15.72 -22.98 -26.73 -35.17
Table 4 Haircuts on zero bonds in %
May 24, 2012
4 Conclusion
Maintaining an adequate level if liquidityholding portfolios of liquid securities+ individual additional charge on liquidity reserve (up to 1/3 more in present value than needed to
assure liquidity)
Increasing importance to minimise estimation errors of bond haircuts
Liquidity shock could persist for several months
Additional discount on actual market value to ex ante account for a crisis
Slide 12Prof. Dr. Mario Straßberger, Yield Spreads, Bond Values, and Implications