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{"cells":[{"metadata":{},"cell_type":"markdown","source":"# Will you get rich by investing in Funds ?\n\nIn recent years most banks are pushing their customers to invest in Funds with the argument that this is more profitable then any other option. \nAs always it is valid to question this statement.\n\nAs an compelling argument the follwing chart is presented which shows indeed that the stock market was growing.\n\n## Setup\nBefore we start we get the dependencies and import the necessary packages"},{"metadata":{"trusted":true},"cell_type":"code","source":"%classpath config resolver maven-public1 http://nuc.local:8081/repository/maven-public/\n%%classpath add mvn \nch.pschatzmann:investor:0.9-SNAPSHOT\nch.pschatzmann:jupyter-jdk-extensions:0.0.1-SNAPSHOT\norg.apache.commons:commons-math3:LATEST\n","execution_count":60,"outputs":[{"output_type":"display_data","data":{"method":"display_data","application/vnd.jupyter.widget-view+json":{"version_minor":0,"model_id":"","version_major":2}},"metadata":{}}]},{"metadata":{"trusted":true,"scrolled":true},"cell_type":"code","source":"import ch.pschatzmann.stocks.data.index.SP500Index\nimport ch.pschatzmann.stocks._\nimport ch.pschatzmann.display.Table\nimport java.util.List\nimport org.apache.commons.math3.stat.StatUtils\nimport java.util.Random\n","execution_count":61,"outputs":[{"output_type":"execute_result","execution_count":61,"data":{"text/plain":"import ch.pschatzmann.stocks.data.index.SP500Index\nimport ch.pschatzmann.stocks._\nimport ch.pschatzmann.display.Table\nimport java.util.List\nimport org.apache.commons.math3.stat.StatUtils\nimport java.util.Random\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## SP500\nHere is a plot of the SP500 index:"},{"metadata":{"trusted":true},"cell_type":"code","source":"\n\nvar sd = Context.getStockData(new SP500Index().getStockID())\nvar table = Table.create(sd)\nnew SimpleTimePlot {\n data = table.seq()\n columns = Seq(\"^GSPC.Closing\")\n showLegend = false\n}","execution_count":22,"outputs":[{"output_type":"display_data","data":{"method":"display_data","application/vnd.jupyter.widget-view+json":{"version_minor":0,"model_id":"1c13aa7d-28b1-4cac-9644-377337ab52c9","version_major":2}},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Simulation\n\nThe clue if an investoment is profitable all depends on when you invested and the time horizon!\n\nSo I was asking myself: what's the average profit (or loss) you would have - let's say over a period of the last 18 years. \nIn order to calculate this, we generate random start and end days and we calculate the average profit over all generated samples. \n\n- We are ignoring any transaction costs and \n- assume that the average Fund is moving in line with the Index which might be a little bit too optimistic. \n- On the other hand we also ignore dividends. \n\nIn our simulation we invest 10'000 USD (and assume that this can be done in fractions)."},{"metadata":{"trusted":true},"cell_type":"code","source":"\ndef getRandomProfit(investmentAmount:Double, history:List[IStockRecord]):Double = {\n var size = history.size()\n var r = new Random();\n var startIndex = r.nextInt(size)\n var endIndex = r.nextInt(size - startIndex) + startIndex\n var qty = investmentAmount / history.get(startIndex).getClosing().doubleValue()\n var buy = history.get(startIndex).getClosing().doubleValue\n var sell = history.get(endIndex).getClosing().doubleValue\n return qty * (sell - buy)\n}\n\nvar investmentAmount = 10000.0\nvar history = Context.getStockData(new SP500Index().getStockID()).getHistory(Context.date(\"2000-01-01\"))\nvar profits = (1 to 1000000).map(i => getRandomProfit(investmentAmount, history)).toArray\n\nvar avg = StatUtils.mean(profits)\nvar max = StatUtils.max(profits)\nvar min = StatUtils.min(profits)\nvar percent = avg / investmentAmount * 100\ns\"Profit %: $percent - avg: $avg ( min: $min / max: $max )\"","execution_count":66,"outputs":[{"output_type":"execute_result","execution_count":66,"data":{"text/plain":"Profit %: 36.33501080413464 - avg: 3633.5010804134636 ( min: -5656.558890544368 / max: 32983.30933363491 )"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Conclusion\nSo it seems to be true. In avarage you would have had a profit of 36 % over roughly 10 year - which gives an annual profitability of around 3%.\nThe worst simulaiton example was loosing 5600 USD and the best example was gaining 33000 - which would have tripled your fortune.\n\nIn a nutshell - in average it was paying off to be invested but it all depends on your timing so you could have ended up with a loss.\nThe average annual profitibility is not very thrilling and you will need to compare this with your other investment options!\n\n"},{"metadata":{"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"name":"scala","display_name":"Scala","language":"scala"},"toc":{"nav_menu":{},"number_sections":false,"sideBar":false,"skip_h1_title":false,"base_numbering":1,"title_cell":"Table of 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