WALL ST ROCKET SCIENTIST'S CRIB SHEET
	   (c)1987,1999 Vasos-Peter John Panagiotopoulos II
ACCOUNTING:(CURR_ASSET=CASH+(ACCTS_RECVBL-BAD_DEBT)+INVTRY)
            +PLANT_P_EQPT+ACCRU_INCOM_RECVBL+PREPAID_EXPC
            =ASSETS=LIAB+EQTY
            =ACCTS_PYBL+NOTE_PYBL+BOND_PYBL+TX_PYBL+UNEARN_INCOM+EQTY
           NET_INCOM=SALE_REVNU-COST_GOODS_SOLD-SELL_GENL_ADM_EXPC
                     -INTRST_EXPC-DEPREC-TX-RENT
           CASH_FLOW=(CASH_DUE_DEPREC=DEPREC_AMT)
                     +STOCK_SALES+GRANTS+BONDS-DEBT_PYMT-DIVIDEND-CAP_EXPDTR
           DEPREC_AMT=PRICE*RATE*(1-RATE)**(YR-1)
           QUICK_ACID_RATIO=(CASH+NET_RECVBL+MKTBL_SECURTS)/CURR_LIAB
           CURRENT_RATIO=CURRENT_ASSETS/CURRENT_LIAB
           ASSET_TURNOVER=NET_SALES/TOT_ASSET; WRK_CAP=CURR_ASSET-CURR_LIAB
           INTRST_EARN_TIMES=(NET_INCOM+INTRST_EXPC+TX)/INTRST_EXPC
           DEBT_EQUITY_RATIO=TOT_LIAB/EQTY should be around 2/3
           COLLEXN_PERD=365/(ANN_CRED_SALES/AVG_ACCTS_RECVBL)
           ALTMAN_Z_SCORE(.GT.3 for no bankrupt)=(1.2*WORKG_CAPTL+SALES
                                    +1.4*RETAIN_EARN+3.3*OPER_INCOM)/TOT_ASST
                          +.6*MKT_VAL_COMM_AND_PREF_STOCK
           BREAK_EVEN_SALES=VAR_COST*QUANT+FIX_COST+BRKEVN_PROFIT=PRICE*QUANT
FINANCE:   FUT_VAL/PRES_VAL=(1+INTRST)**NUM_PER
           FUT_VAL_ANNUIT/ANNUIT_PMT =((1+INTRST)**NUM_PER -1)/INTRST
           PRES_VAL_ANNUIT/ANNUIT_PMT=(1-(1+INTRST)**-NUM_PER)/INTRST
           0=FUT_VAL+PRES_VAL*(1+INTRST)**NUM_PER
             +PMT*(1+INTRST*TIME)*((1+INTRST)**NUM_PER -1)/INTRST
           NPV=TIME_SUM(CASH_FLOW[TIME]/(1+INTRST)**TIME)
           IRR:=IRR-NPV(IRR,CF)*IRR*.01/(NPV(IRR*1.01,CF)-NPV(IRR,CF))
	   ROE=1/P:E+GRO*RTN=NO_RISK_RTN+BETA*(MKT_RTN-NO_RISK_RTN)
	   FIRM_VALU=NPV(NET_INC_AFT_INTRST_&TX+DEPREC+TX_CRED+ACC_DEPREC
   	                     -CHG_INVST-CHG_WRK_CAP-DEBT)
           WT_AVG_COST_CAPTL*(CAPTLSN=BONDS+STOCKS+ ...)=
              (1-TX_RATE)*COST_DEBT*BONDS+COST_EQTY*STOCKS+...
           BETA=slope of return vs (mkt=DOW)=COVAR(INVST,MKT)/VAR(MKT)
	   OLD_PRIC=(DIVDD+PRIC)/(1+RTN)=DIVDD/(RTN-GRO)=PERPET_PMT/RTN
           YIELD_TO_MAT=2*(NOM_INTRST+DISCT(or -PREM)/YRS)/(PV+MAT_VAL)
	   CAPM_EXPEC_RTN=RISKFREE-BETA(MKT_EXPEC-RISKFREE)
           OPT_CASH_LEV=SQRT(2*FIX_TRANSXN_COST*TOT_REQD_PERD_CASH/INTRST)
	   NPV_LESSOR=-COST_ASSET+TIME_SUM((LEAS_PMT*(1-TX)+TX*DEPREC)
					   /(1+WACC)**TIME)
	   OPM PDE: 0=.5*(CALL_VALU DIFF STOCK_PRIC DIFF STOCK_PRIC)
		        *(RTN_STDEV*STOCK_PRIC)**2
	       +(CALL_VALU DIFF TIM) 
	       +RISKFREE_RATE
		   *(STOCK_PRIC*(CALL_VALU DIFF STOCK_PRIC)-CALL_VALU)
	      CALL_VALU=0 wherever STOCK_PRIC=0
	      END TIME CONDITION: CALL_VALU=MAX(STOCK_PRIC-CALL_PURCH_PRIC,0)
ECONOMICS: GNP=(MONEY_SUPPLY/PRICE_LEV)*EXP(CONST*
                                            (INTRST=REAL_INTRST+INFLN_EXPEC))
              =(COMSUMP_INTCEPT+INVEST_INTCEPT+GOVT_SPEND_INTCEPT
                +EXPORT_INTCEPT-IMPORT_INTCEPT
                -CONSUMP_SLOP*(BUSN_SAVG_INTCEPT+TAX_INTCEPT-TRANSF_INTCEPT))
               /(1-CONSUMP_SLOP-INVEST_SLOP
                 +CONSUMP_SLOP*(BUSN_SAVG_SLOP+TAX_SLOP+TRANSF_SLOP)
                 +GOVT_SPEND_SLOP+IMPORT_SLOP) ..slopes abs val & vs GNP..
           BOSKIN_POSTWAR_LOG_CONSUMP=-3.85+.62*LOG_DISP_PRIV_INCOM
	       +.007*LOG_DISP_PRIV_INCOM[time-1]+.72*LOG_WEALTH[time-1]
	       -.003*LOG_UNEMPL_RATE-2.08*RL_AFT_TX_RTN+.007*EXPEC_INFLN
	   FRIEDMAN CONSUMP_PERM/GNP_PERM= fct of: +RL_INTRST,-AGE,-LIF_EXPEC,
	       +RATE_TIM_PREF, +NONSLAVE_WEALTH/GNP_PERM  ..PERM+TEMP=ACT..
	   PRODXN_FCT=d*(a*CAPITAL**((e-1)/e)+b*LABOR**((e-1)/e))**(c*e/(e-1))
	       e=SUBSTN_ELAST;a+b=1;ELAST=LN(QUANT) DIFF LN(PRICE)
	       COBBDOUGLAS(e=1)=d*(CAPITAL**(c*a)+LABOR**(1-c*a)) ..d=TECH..
               MARG_PRDXVTY_A=PRODXN_FCT DIFF A;INTRST=MARG_PRDXVTY_CAPITAL
MATHEMATICS:udv=d(uv)-vdu; (n+1)b(a+bx)**n dx=d((a+bx)**(n+1)) 
           2cdx(+-c**2-+x**2)=d ln( (x+-c)/(c-+x) )
	   a exp(ax) dx=d exp(ax);axa exp(ax)dx=d((ax-1)exp(ax))
	   -a sin ax dx=d cos ax; a cos ax dx=d sin ax
           SLOP=(n*SUM(x*y)-SUM(x)*SUM(y))/(n*SUM(x**2)-SUM(x)**2)
           INTCEPT=AVG(y)-SLOP*AVG(x);ABS(t-STAT).LT.2;DURB_W=2+-.5;R-SQ near 1
           HETSCHED F TEST [sumsq top,bottom 5/12 var] ok:psi=1,OLS else GLS:
             SLOP=(X[transp]psi^-1 X) X[transp] psi^-1 Y sigsq[ij]=/=sigsq[ji]
           EXP_SMOOTH(y)=a*y_OLD+(1-a)y_OLD_SMOOTHED, a to 1, more wt recent
       ITO dY[k]=(dg[k]/dt)dt+(dg[k]/dX[i])dX[i]+(ddg[k]/2dX[i]dX[j])dX[j]dX[j]
           dx=mu*dt+sigma*dz dtdt=dtdZ=0 dZ[i]dz[j]=rho[ij]dt dZ=sigma*sqrt(dt)
NUMERICAL  INTEGRAL(ydx,x1,x3)=(y(x1)+4*y(x2)+y(x3))*(x3-x1)/6
METHODS:   INTERPOL(x;known x[i],y[i])=SUM(j=1 to n: PROD(i=1 to n,never j:
	       (x-x[i])*y[j]/(x[j]-x[i])  )              )
	   RANDOM WALK: x[n+1]:=(x[n]*4782969) mod max;
	   REGULA FALSI: x0:=((x2:=x1)-(x1:=x0))*f(x1)/(f(x1)-f(x2))+x1;
	   RUNGE KUTTA 4: Y[n+1]:=Y[n]+k1/6+k2/3+k3/3+k4/4;
	       k1:=DELTA_X*Y_DIFF_X(x[n]          ,y[n]     );
	       k2:=DELTA_X*Y_DIFF_X(x[n]+DELTA_X/2,y[n]+k1/2);
	       k3:=DELTA_X*Y_DIFF_X(x[n]+DELTA_X/2,y[n]+k2/2);
	       k4:=DELTA_X*Y_DIFF_X(x[n]+DELTA_X  ,y[n]+k3  );
	   FINITE DIFF: 2 U[J]:=U[J+1]+U[J-1]
	       U DIFF X DIFF X:=(U[J+1]-2U[J]+U[J-1])/((X[J]-X[J-1])**2)
	       U DIFF T:=(U[N+1]-U[N])/(T[N+1]-T[N])
	   SPENCER ANSELMO:
	    X[I]:=X[I]-INV(LAGR1*(FCT[K] DIFF X[I])*WT[K,L]*(FCT[J] DIFF X[L])
		          +LAGR2*MAGNIF[I,J])
			*(FCT[J] DIFF X[M])*WT[M,N]*FCT[N]
	     ..find X for opt F..WT may be ident..MAGNIF incr as chg shrink..
              KUHNTUCKER dLAGRGOBJFCT/dx .LE. 0 dLAGRGOBJFCT/dLAGRGMULT .GE. 0
           KALMAN d ln P = d[expect] h (R[transp]R)^-1 (dZ-h[expect]dt)
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