S&P 500 INDEX: MODEL SPECIFICATIONS & FORECASTS

Last updated: 08-08-2024
Time: 17:47:53

1. Model Specification

Date:07/13/2022

Period:10

Specification:SP500=f(SC, TCI_R, m1, indpro, x_ff, x10_3, PF, cpium)

Sources:Bureau/StocksForecast/BacktestSP500/Backtest2/Data/macro_22_07_8.xlsx

## OK: residuals appear as normally distributed (p = 0.739).

## OK: Residuals appear to be independent and not autocorrelated (p = 0.142).

## OK: Error variance appears to be homoscedastic (p = 0.158).

## 
##  Bounds F-test (Wald) for no cointegration
## 
## data:  d(SP500) ~ L(SP500, 1) + L(sc, 1) + TCI_R + L(m1, 1) + L(indpro,     1) + x_ff + L(x10_3, 1) + PF + cpium + d(sc) + d(m1) + d(indpro) +     d(x10_3)
## F = 16.014, p-value = 1e-06
## alternative hypothesis: Possible cointegration
## null values:
##    k    T 
##    8 1000

## # Check for Multicollinearity
## 
## Low Correlation
## 
##   Term  VIF       VIF 95% CI Increased SE Tolerance Tolerance 95% CI
##  TCI_R 2.31 [  1.83,   3.09]         1.52      0.43     [0.32, 0.55]
## 
## Moderate Correlation
## 
##          Term  VIF       VIF 95% CI Increased SE Tolerance Tolerance 95% CI
##  L(indpro, 1) 9.03 [  6.62,  12.47]         3.00      0.11     [0.08, 0.15]
## 
## High Correlation
## 
##         Term    VIF       VIF 95% CI Increased SE Tolerance Tolerance 95% CI
##  L(SP500, 1) 140.77 [100.81, 196.74]        11.86  7.10e-03     [0.01, 0.01]
##           sc  21.58 [ 15.60,  30.03]         4.65      0.05     [0.03, 0.06]
##     L(sc, 1)  15.21 [ 11.04,  21.11]         3.90      0.07     [0.05, 0.09]
##           m1  84.00 [ 60.22, 117.33]         9.17      0.01     [0.01, 0.02]
##     L(m1, 1)  70.40 [ 50.50,  98.31]         8.39      0.01     [0.01, 0.02]
##       indpro  10.51 [  7.68,  14.53]         3.24      0.10     [0.07, 0.13]
##         x_ff  25.14 [ 18.14,  34.99]         5.01      0.04     [0.03, 0.06]
##        x10_3  25.33 [ 18.28,  35.27]         5.03      0.04     [0.03, 0.05]
##  L(x10_3, 1)  20.31 [ 14.69,  28.25]         4.51      0.05     [0.04, 0.07]
##           PF 185.02 [132.44, 258.63]        13.60  5.40e-03     [0.00, 0.01]
##        cpium  22.92 [ 16.55,  31.90]         4.79      0.04     [0.03, 0.06]

## 
##  OLS-based CUSUM test
## 
## data:  ocus
## S0 = 0.39211, p-value = 0.9979

2. Forecasts

## [1] 0.0005972602

## [1] 0.0008798885

Spot Market Close:3801.78

Spot Market Close (ex ante):3754.32

Spot Market Close (spread in %):1.25

Forecast (4 weeks):3928.77

Forecast (spread in % | From Spot Market Close to Forcast[4 weeks]):-3.34