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3504 10
2009-11-15
求助,老师先给了一张没有 non-bank lender的 bank accounts的资产和负债表图,可能和常规的不一样,但大体是那么个东西

Bank Accounts
Activity
Bank Assets
Bank Liabilities (Deposit Accounts)

Reserves (BR)
Loans (FL)
Firms (FD)
Households (HD)
Banks (BD)
Compound Interest

+A



Deposit Interest


+B

-B
Wages


-C
+C

Deposit Interest



+D
-D
Consume


E+F
-E
-F
Pay Interest

-G (=-A)
-G

+G
Pay Debt
+H
-H
-H


Lend Reserves
-I
+I
+I





...额....说明也有点抽象,我从头贴一下,希望大家能帮忙下,最后要做一张图是non-bank lender进入后,所产生的另一张图或者是在原图上加两列,non-bank lender是从银行借钱,再以高利率贷款给household sector
下面是说明性的简略流程和一些解释 ,这边的字母有些只是代表,而且可能有一点点混乱,但具体在表格中的解释不怎么变
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2009-11-15 00:26:34
Bank status allows it to create money “from nothing”           ---Book-keeping action of
                ---Making entry of $L in deposit account
               ---And simultaneous $L entry in debt account
--Creates loan and money simultaneously



So system starts with Bank Sector making loan of $L to Firm Sector

         --Two accounts needed:
                 ----Money added to Deposit Account FD
               -----Record of Debt kept in Loan Account FL FL
              -----Amount of $L entered into both initially


Type of Account (Bank point of view)
Asset
Liability
Income
Name
Firm Loan
Firm Deposit
Bank Deposit
Symbol
FL
FD
BD
Flows between accounts
Compound Interest
A


Deposit Interest

+B
-B
Pay Interest
- C
-C
+C
Sum of flows
A-C
B-C
C-B


Loan contract gives bank right to compound debt at rate of interest on loans
Interest payment from bank to firm
Interest payment from firm to bank
Bank records payment of interest as reduction in outstanding debt


Firm pays interest to Bank at loan rate rL;


Bank pays interest to Firm at deposit rate rD;


So A is interest rate on debt (rL) times debt FL:


B is interest rate on deposits (rD) times deposit FD;


If firm pay all interest on debt, C is the same as A


(and debt FL therefore remains constant)



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2009-11-15 00:27:30
Type of Account
Asset
Liability
Income
Name
Firm Loan
Firm Deposit
Bank Deposit
Symbol
FL
FD
BD
Compound Interest
A=rL*FL


Deposit Interest

+B=rD*FD
-B
Pay Interest
- C=rL*FL
-C
+C
Sum of flows
0
rD*FD-rL*FL
rL*FL-rD*FD




So our basic model so far is that:


Rate of change of firm sector’s debt = zero


Rate of change of firm sector’s deposit account is interest payments on deposit minus interest payments on loan


rD.FD-rL.FL


Rate of change of bank sector’s income account is the opposite:


rL.FL-rD.FD.


然后Household进入

Need one more account for this:

        ---- “Household Deposit” HD
         ----Table now has 4 columns:

& 2 new activities

         ----Workers paid wages
         -----Consumption


Type of Account
Asset
Liability (Deposits by non-bank public)
Income
Name
Firm Loan
Firms
Households
Bank
Symbol
FL
FD
HD
BD
Compound Interest
A



Deposit Interest

+B

-B
Pay Interest
-A
-A

+A
Pay Wages

-C
+C

Interest on HH


+D
-D
Consume

E+F
-E
-F
Sum of flows
0
B+E+F-(A+C)
C+D-E
A-(B+D+F)





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2009-11-15 00:28:59

Bank accounts will stabilise if flows in equal flows out:

Type of Account

Asset

Liability

Income

Name

Firm Loan

Firms

Households

Bank

Symbol

FL

FD

HD

BD

Compound Interest

A

Deposit Interest

+B

-B

Pay Interest

-C(=-A)

-C

+C

Pay Wages

-D

+D

HH Interest

+E

-E

Consume

F+G

-F

-G

Sum of flows

0

B+F+G-(C+D)

D+E-F

C-(B+E+G)


         Loans stable since repayments=compounding

         Firm deposit stable if B+F+G=C+D

         Deposit Interest + Sales = Loan Interest + Wages

         Household deposit stable if D+E=F

         Worker Consumption = Wages + Interest on HH Deposits

         Bank deposit stable if C=B+E+G

         Loan interest = Deposit Interest + Banker Consumption

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2009-11-15 00:31:58

Bank can also lend from its Reserves, so 2 more rows:

Type of Account

Asset

Liability

Income

Name

Bank Reserve

Firm Loan

Firms

Households

Bank

Symbol

BR

FL

FD

HD

BD

Compound Interest

A

Deposit Interest

+B

-B

Pay Interest

-C(=-A)

-C

+C

Pay Wages

-D

+D

HH Interest

+E

-E

Consume

F+G

-F

-G

图下面还有半张
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2009-11-15 00:32:20

Repay Debt

+H

-H

-H

Relend Reserves

-I

+I

+I

Sum of flows

H-I

I-H

+I-H

         System can be stable if

         Repayment rate=Relending rate (H=I)

         Simulating this

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