Figures & data
Figure 1. Assuming no oscillation amplitude , the empirical price
, logistic growth
, Gompertz growth
, charged capacitor growth
, combined logistic and charged capacitor growth
and
, and combined Gompertz and charged capacitor growth
and
, for 23 July 2010–21 June 2021 (panels a and c) and until 1 January 2100 (panels b and d),
. Panels a and b apply the least squares method. Panels c and d apply the weighted least squares method.
![Figure 1. Assuming no oscillation amplitude α=0, the empirical price pE, logistic growth pL, Gompertz growth pG, charged capacitor growth pC, combined logistic and charged capacitor growth pLC and pLCλ, and combined Gompertz and charged capacitor growth pGC and pGCλ, for 23 July 2010–21 June 2021 (panels a and c) and until 1 January 2100 (panels b and d), K=$476,190. Panels a and b apply the least squares method. Panels c and d apply the weighted least squares method.](/cms/asset/be4688dc-8e5c-414f-9253-f7076a98bd6b/oaef_a_2087287_f0001_oc.jpg)
Figure 2. Assuming no oscillation amplitude , the empirical price
, logistic growth
, Gompertz growth
, charged capacitor growth
, combined logistic and charged capacitor growth
and
, and combined Gompertz and charged capacitor growth
and
, for 23 July 2010–21 June 2021 (panels a and c) and until 1 January 2100 (panels b and d),
. Panels a and b apply the least squares method. Panels c and d apply the weighted least squares method.
![Figure 2. Assuming no oscillation amplitude α=0, the empirical price pE, logistic growth pL, Gompertz growth pG, charged capacitor growth pC, combined logistic and charged capacitor growth pLC and pLCλ, and combined Gompertz and charged capacitor growth pGC and pGCλ, for 23 July 2010–21 June 2021 (panels a and c) and until 1 January 2100 (panels b and d), K=$23,809,524. Panels a and b apply the least squares method. Panels c and d apply the weighted least squares method.](/cms/asset/bf49c3f1-e72a-489f-9a1c-6569c20fe8c4/oaef_a_2087287_f0002_oc.jpg)
Figure 3. Assuming oscillation amplitude , the empirical price
, logistic growth
, Gompertz growth
, charged capacitor growth
, combined logistic and charged capacitor growth
and
, and combined Gompertz and charged capacitor growth
and
, for 23 July 2010–21 June 2021 (panels a and c) and until 1 January 2040 (panels b and d),
. Panels a and b apply the least squares method. Panels c and d apply the weighted least squares method.
![Figure 3. Assuming oscillation amplitude α≥0, the empirical price pE, logistic growth pL, Gompertz growth pG, charged capacitor growth pC, combined logistic and charged capacitor growth pLC and pLCλ, and combined Gompertz and charged capacitor growth pGC and pGCλ, for 23 July 2010–21 June 2021 (panels a and c) and until 1 January 2040 (panels b and d), K=$476,190. Panels a and b apply the least squares method. Panels c and d apply the weighted least squares method.](/cms/asset/ed5a6bca-e992-40f7-9447-92e8e6d20c73/oaef_a_2087287_f0003_oc.jpg)
Figure 4. Assuming oscillations , the empirical price
, logistic growth
, Gompertz growth
, charged capacitor growth
, combined logistic and charged capacitor growth
and
, and combined Gompertz and charged capacitor growth
and
, for 23 July 2010–21 June 2021 (panels a and c) and until 1 January 2040 (panels b and d),
. Panels a and b apply the least squares method. Panels c and d apply the weighted least squares method.
![Figure 4. Assuming oscillations α≥0, the empirical price pE, logistic growth pL, Gompertz growth pG, charged capacitor growth pC, combined logistic and charged capacitor growth pLC and pLCλ, and combined Gompertz and charged capacitor growth pGC and pGCλ, for 23 July 2010–21 June 2021 (panels a and c) and until 1 January 2040 (panels b and d), K=$23,809,524. Panels a and b apply the least squares method. Panels c and d apply the weighted least squares method.](/cms/asset/cfa1fe14-f386-4240-b959-2198eb0ebabb/oaef_a_2087287_f0004_oc.jpg)
Table 1. Dates and magnitudes of bull market local maxima 4,5,6,7,8 when and
, predicted until year 2050
Table 2. Dates and magnitudes of bear market local minima 4,5,6,7,8 when and
, predicted until year 2050
Data availability statement
The article contains no associated data. All data generated or analyzed during this study is included in this published article.