The Price Equation
Where;
I(t) = f[X(t)]/ CPI(t-1) ;
f[X(t)] = A + SUM[B(n)*DX(n,t)**2) + C(n)*DX(n,t) + D(n)*X(n,t-1);
n = 1 to 12; DX(n,t) = X(n,t) - X(n,t-1) ; and;
n X(n,t) n X(n,t)
1 Cash and Traveler Checks 7 Individual Loans
2 Other Check Deposits 8 Bank Held Gov't Debt
3 Demand Deposits 9 Other Bank Investment
4 Other Loans 10 Savings
5 Comercial Loans 11 FED Held Gov't Debt
6 Real Estate Loan 12 CPI(t-1)
A = 6.05138
n B(n) C(n) D(n)
1 2.51695 E-2 -1.25361 E-1 -5.78174 E-2
3 1.42281 E-3 -1.98586 E-2 -3.24311 E-2
4 -1.68230 E-5 4.69220 E-3 8.38236 E-3
5 -1.09016 E-2 5.37921 E-2 1.20801 E-2
6 1.03774 E-2 -1.73130 E-2 9.27001 E-2
7 -2.87952 E-2 9.72792 E-2 -3.10036 E-2
8 -4.78241 E-3 -2.04197 E-3 6.16619 E-2
9 -2.59567 E-3 -4.21779 E-2 7.25378 E-2
10 -1.27912 E-6 -2.17870 E-3 -4.52054 E-3
11 -3.11609 E-2 1.41760 E-1 -6.06438 E-2
12 9.77020 E-2 -2.96417 E-1 -9.30968 E-2
STATISTIIC CPI INFLATION
CORRELATION COEFFICIENT 0.999973 0.819696
STANDARD DEVIATION 0.514031 2.40617 E-3
DEGREES OF FREEDOM 109 109
(Data from FRB St. Louis - Dec., 1972 Through Mar, 1985)
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