kneb1

README

• Radio-Werte sind immer 1...5 oder 1...10 -
  Weiß nicht ist dann bspw. 9 und keine Antwort ist 10
  Sonst Fehlergefahr

• Set ah=30 and ahV=25 in the debugging console, to change the chart

• Die Berechnung erfolgt in echart-config.mjs
pComputeData()...

• Rendite und Standardabweichung der Aktien-Anlage:
  Detaillierte Diskussion unten: [MSCI world returns and sigma]

• Which deflated returns should we use for the safe asset (mnbd1)?
  Currently its set to 1 percent.

• Bei Anlagehorizont von 10 Jahren dominieren die Einzahlungen.
  Die relativ höhere Aktien-Rendite schlägt nach 30 oder 40 Jahren viel stärker durch.
  Spaßeshalber kann az = 50 gesetzt werden.

• Y-Max wird ab 40 TSD dynamisch erhöht - in Schritten von 40.000.
  Vertikale Abstände einerseits nicht zu klein.
  Andererseits sollen sie nicht nach oben ausbrechen.
  Anlagehorizont nicht in die Mitte, sondern mehr nach rechts? Bei 80%?

MSCI world returns and sigma

https://investingintheweb.com/blog/msci-world-index-historical-data/

In Dollar, in the last 10 years (to April 30th, 2023), the MSCI World Index has had an annualised return of 9.29% (MSCI World Total Net Return). $100 invested on April 30th, 2013, would be worth $243 on April 30th, 2023. 1,0929^10=2,43

In Dollar, in the last 37 years to 1987, the MSCI World Index has had an annualised return of 8.06% (MSCI World Total Net Return). 1,0806^37=17,6

Annualised standard deviation of 14.62% Inflation rate for the US has been roughly 2.60% during the same period Sharpe ratio of 0.61 - Überrendite bei vergleichbarem Risiko

In Euro, for last 10 years to 2013, the MSCI World Index in EUR has had an annualised return of 9.09%. 1,0909^10=2,39 In Euro, for last 25 years to 1998, the MSCI World Index in EUR has had an annualised return of 5.90%. 1,059^25=4,19

90 percent confidene interval is 1.645 standard deviations from the mean; https://i1.wp.com/makemeanalyst.com/wp-content/uploads/2017/05/Confidence-Coefficients-for-90-Confidence.png?resize=760%2C492

https://www.companisto.com/en/academy/recht-steuern-und-hilfsthemen/bruttorendite-vs-nettorendite-wie-wird-der-ertrag-richtig-gemessen gross return % taxation, inflation, costs (management fees) net return or real return or Total Net Return

MCI world standard deviation - 2024-01

https://de.wikipedia.org/wiki/MSCI_World#Berechnung

https://de.wikipedia.org/wiki/Aktienindex#Performanceindex

https://en.wikipedia.org/wiki/Stock_market_index https://de.wikipedia.org/wiki/Total-Return-Index https://en.wikipedia.org/wiki/Standard_deviation

MSCI world total return index sigma MSCI world total return index Variance MSCI world total return index Standard deviation

https://investingintheweb.com/blog/msci-world-index-historical-data/

MSCI World Total Net Return - Standard deviation (yearly)

annualised standard deviation of 14.99%

Annualised standard deviation of an retaining stock fund

• https://financetrain.com/calculate-annualized-standard-deviation
• https://quant.stackexchange.com/questions/42445/total-returns-from-adjusted-close-prices

The annualized standard deviation of daily returns is calculated as follows:

Annualized Standard Deviation = Standard Deviation of Daily Returns * Square Root (250)

Standard deviation of 20 draws - variance of the product

• https://math.stackexchange.com/questions/2935743/

• expection of the product of two random variables
  E[XY]=E[X]⋅E[Y]

• variance of the product of two random variables
  Var[X]⋅Var[Y]+VarY2+VarX2

• if Var[X]=Var[Y]=vr and E[X]=E[Y]=mn
  vrvr + (vrmn)^2 + (vrmn)^2 vr^2 + 2(vrmn)^2 vr^2 + 2vr^2 mn^2 vr^2(1 + 2mn^2)

  vr^3(1 + 2mn^2 + 4mn^4)

Standard deviation of 20 draws - simple formula

• https://quant.stackexchange.com/questions/48914/calculating-annualized-standard-deviation-from-monthly-returns-and-the-differe

• https://financetrain.com/calculate-annualized-standard-deviation

Annualised standard deviation of 14.62% equals 0.1462

=> 20 draws => 0,1462 * sqrt(20) => 20 draws => 0,1462 * 4,472136 => 20 draws => 0,6538

Documentation

Index

• func Create(s qst.SurveyT) (*qst.QuestionnaireT, error)

Functions

func Create

func Create(s qst.SurveyT) (*qst.QuestionnaireT, error)

Create questionnaire