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8 Appendix: The steady state

Prob. of incumbents’ default: xqI= 0,

Productivity (total): Mass of incumbents: NI =

zu Aggregate output: Y =

θ

Real wage (entrants): W˜E

P = ˜ηγY fEφ˜, Real wage (incumbents): W˜I

P = ˜ηγY fIφ˜, Loan rate (entrants): RlE = d(¯zE)

( ˜WE/P)fE, Loan rate (incumbents): Rq,lI =R.

References

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Table 1: Availability of credit from the main bank

2004 2005 2006 2007 2008 Credit application was refused or its amount

re-duced (among applicants)

8.6 8.8 6 6.8 9.2

Credit application was accepted with tightened borrowing conditions (among applicants)

18.1 17.8 15.8 15.9 17.2 Did not submit credit application in the past

year

43 50.9 46.7 49.7 48.7

Source: Basic Survey of Small and Medium Enterprises, The Ministry of Small and Medium Enterprises Agency.

Table 2: Availability of credit and the source of funds by developmental phase

early growth growth and expansion stable total Availability of credit

Obtained funds as desired 61.3 87.9 97.4 93.9

Did not obtain funds as desired 38.7 12.1 2.6 6.1

Source of funds

Financial institutions 82.9 91.3 91.9 91.3

Representative/executives 68.6 28.7 19.2 24.3

Venture capital 45.7 16.2 10.3 13.7

Business partners/affiliated companies 28.6 13.0 11.9 13.1

Relatives/acquaintances 35.2 13.0 11.0 12.9

Company funds (cash flow) 17.1 22.0 27.4 25.5

Source:White Paper on Small and Medium Enterprises in Japan 2009, The Ministry of Small and Medium Enterprises Agency. The questionnaire was conducted by Tokyo Shoko Research Ltd.

Note: Only for SMEs that conduct R&D.

Table 3: What has made external finance difficult?

Deterioration in the business condition of the related industry 50.6 Deterioration in the company’s profitability 46.4

Financial institutions’ problems 43.8

Deterioration in the asset value of the company and/or the manager 14.2

Others 3.6

Source:White Paper on Small and Medium Enterprises in Japan 2009, The Ministry of Small and Medium Enterprises Agency. The questionnaire was conducted by Mizuho Research Institute.

Note: Based on the questionnaire to the SMEs that replied that loans from financial institutions have become tighter than before.

Table 4: Classification of the credit channels

BS BL CR

key policy variable interest rate money supply interest rate

credit rationing? no yes yes

source of rationing n.a. bank liquidity creditworthiness

Note: BS, BL and CR denote the balance-sheet channel, the bank-lending channel and the credit rationing channel, respectively.

-80 -40 0 40 80 120

84 86 88 90 92 94 96 98 00 02 04 06 08

DI: financial position (easy minus tight)

DI: lending attitude of financial institutions (accomodative minus severe) DI: change in interest rate on loans (rise minus fall)

Figure 1: Diffusion indices regarding the external finance conditions of SMEs

Source:TANKAN, Bank of Japan.

-30 -20 -10 0 10 20 30

80 100 120 140 160 180

84 86 88 90 92 94 96 98 00 02 04 06 08

DI: financial position growth rate of investment

newly registered firms/1000 (right scale)

Figure 2: Easiness in external finance, firm entry and fixed investment

Source: DI and fixed investment: TANKAN, Bank of Japan. Number of newly registered firms: White paper on Small and Medium Enterprises 2009, The Ministry of Small and Medium Enterprise Agency.

Aggregate

shocks observed. Pay wages for the

preparatory labor Borrow

from a bank

continue to produce in the next period

exit from the market repay the full

amount to the bank

default Production ends,

and

pay wages for the productive labor.

Figure 3: Sequence of events

A

B CC

DD

RHS of (12)

Figure 4: Graphical illustration of equilibrium credit rationing

A

E RHS of (15)

RHS of (12)

Figure 5: Determination of ¯zI,t+11+q when incumbents are risky borrowers

A RHS of (12)

RHS of (15)

Figure 6: Determination of ¯zI,t+11+q when incumbents are safe borrowers

0 5 10 15 20

4x 10-3 ave. loan rates: all firms

0 5 10 15 20

0 2 4 6

8x 10-3 ave. loan rates: incumbents

0 5 10 15 20

8x 10ave. premium (raw value): incumbents-3

0 5 10 15 20

15x 10-3 bank lending-output ratio

0 5 10 15 20

0 0.5 1

common productivity

Figure 7: The impacts of a positive common productivity shock

36

0 5 10 15 20

4x 10-3 ave. loan rates: all firms

0 5 10 15 20

0 1

2x 10-4 ave. loan rates: incumbents

0 5 10 15 20

2x 10ave. premium (raw value): incumbents-4

0 5 10 15 20

Figure 8: The impacts of a negative common productivity shock

37

0 5 10 15 20

2x 10-4 ave. of productivity

0 5 10 15 20

Figure 9: The impacts of a negative policy-rate shock

38

0 5 10 15 20

4x 10-4 ave. of productivity

0 5 10 15 20

Figure 10: The impacts of a positive financial shock

39

0 5 10 15 20

Figure 11: The impacts of a large negative productivity shock

40

0 5 10 15 20

0x 10-14 fixed-labor wage: entrants

0 5 10 15 20

Figure 12: The impacts of a large positive financial shock

41

0 20 40 60 80 100

Figure 13: A simulated path: the common productivity and financial shocks

42

-2 -1 0 1 2

Figure 14: Around the crisis period: quarterly

43

-2 -1 0 1 2

Figure 15: Around the crisis period: annual

44