1 housing price & mortgage rate bilge imer chih hua chen hunjung kim melissa manfredonia...

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1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Page 1: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Housing Price & Mortgage Rate

Bilge ImerChih Hua ChenHunjung KimMelissa ManfredoniaYongyang Yu

Page 2: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Data

USA and California housing price index (Source: Office of Federal Enterprise Oversight)

30-yrs mortgage rate (Source: St. Louis Fed Economic Data)

- Data Range : Jan. 1975 to April. 2005 - Quarterly Data

Page 3: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Housing Price of USA & CA

Page 4: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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30 Mortgage Rate

Page 5: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Housing Price vs. Mortgage Rate

Page 6: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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CAHP: California Housing PriceIndex

Page 7: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Histogram of CAHP

Page 8: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of CAPH

Page 9: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Unit Root Test on CAHP

Page 10: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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CAHP vs. LNCAHP

0

10

20

30

40

50

60

70

80

90

1stQtr

2ndQtr

3rdQtr

4thQtr

East

West

North

Page 11: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Line Graph of DLNCAHP

Page 12: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Histogram of DLNCAHP

Page 13: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of DLNCAHP

Page 14: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Unit Root Test on DLNCAHP

Page 15: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Line Graph of DDLNCAHP

Page 16: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Histogram of DDLNCAHP

Page 17: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of DDLNCAHP

Page 18: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Unit Root Test on DDLNCAHP

Page 19: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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ARTWO Model

Page 20: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Diagnosis for ARTWO

Page 21: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Histogram of Residuals

Page 22: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of Residuals

Page 23: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Serial Correlation Test

Page 24: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Forecast / DDlncahpf sef, 2006:01 2006:04

Page 25: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Line Graph of DDLNCAHPF with Forecast 2006:01 2006:04

Page 26: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Line Graph of CAHPF with Forecast 2006:01 2006:04

Page 27: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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residsq=resid*resid (resid from ARTWO)

Page 28: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Histogram of RESIDSQ

Page 29: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of Residuals Squared

Page 30: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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ARCH Test

Page 31: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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GARCH(1,0)

Page 32: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Diagnosis of GARCH(1, 0)

Page 33: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of Standardized Residuals

Page 34: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of Standardized Residuals Squared

Page 35: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of Standardized Residuals

Page 36: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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ARCH Test

Page 37: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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GARCH(1,1)

Page 38: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Diagnosis for GARCH(1, 1)

Page 39: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of Standardized Residuals

Page 40: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Correlogram of Standardized Squared

Page 41: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Histogram of Standardized Residuals

Page 42: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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ARCH Test

Page 43: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Forecast of GARCH(1,0)

Page 44: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Forecast of DDLNCAHPF

Page 45: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Line Graph of DDLNCAHPF with Forecast 2006:01 2006:04

Page 46: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Line Graph of CAHPF with Forecast 2006:01 2006:04

Page 47: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Comparison of ARTWO & GARCH(1,0)

0

50

100

1stQtr

3rdQtr

East

West

North

Page 48: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Comparison of ARTWO & GARCH(1,1)

Page 49: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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INTERACTION BETWEEN HOUSING PRICES AND MORTGAGE RATES

CA OR US HOUSING PRICES

MORTGAGE RATE

?

CA OR US HOUSING PRICES

MORTGAGE RATE

?

CA OR US HOUSING PRICES

MORTGAGE RATE

?

CA OR US HOUSING PRICES

MORTGAGE RATE

?

Page 50: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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0

100

200

300

400

75 80 85 90 95 00 05

USA_HP

0

100

200

300

400

500

600

700

75 80 85 90 95 00 05

CA_HP

4

6

8

10

12

14

16

18

20

75 80 85 90 95 00 05

MORTGAGE_RATE01

LINE GRAPHS

RAW SERIES MODELED SERIES

Page 51: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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GRANGER CAUSALITY

RAW SERIES MODELED SERIES

CA

USA

Page 52: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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CROSS-CORRELATION

Page 53: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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ESTIMATION VAR

RAW SERIES MODELED SERIES

Page 54: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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GRANGER CASUALITY

CROSS CORRELATION

VAR

RAW MODELED

CA

US

MR

MR

CA

US

MR

MR

CA

US

MR

MR

CA

US

MR

MR

US MR

US MR

CA

US

MR

MR

NA

SUMMARY OF INTERACTIONS

Page 55: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Conclusion Two markets for housing prices, US and

California, move together and have exponential trend

According to univariate analysis forecast the exponential growth trend will continue throughout the next year.

The casuality in between the housing prices in CA and US, and mortgage rate determined as; Mortgage Rate affects national housing prices while

CA housing prices are not largely affected by change in mortgage rates.

Page 56: 1 Housing Price & Mortgage Rate Bilge Imer Chih Hua Chen Hunjung Kim Melissa Manfredonia Yongyang Yu

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Questions?