// Numbas version: finer_feedback_settings
{"name": "price/earnings ratio PE", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "parts": [{"gaps": [{"correctAnswerFraction": false, "mustBeReducedPC": 0, "precisionPartialCredit": 0, "maxValue": "PE", "precision": "2", "strictPrecision": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "precisionMessage": "You have not given your answer to the&nbsp;nearest cent.", "type": "numberentry", "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "unitTests": [], "allowFractions": false, "showPrecisionHint": false, "precisionType": "dp", "correctAnswerStyle": "plain", "customName": "", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "useCustomName": false, "mustBeReduced": false, "marks": 1, "showFeedbackIcon": true, "minValue": "PE"}], "customName": "", "sortAnswers": false, "prompt": "<p>A share currently sells for $\\$\\var{P}$ and has an annual earning of $\\$\\var{Earn}$.&nbsp;What is its&nbsp;price/earnings ratio?</p>\n<p></p>\n<p>[[0]] (to 2 decimal places)</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "useCustomName": false, "customMarkingAlgorithm": "", "marks": 0, "type": "gapfill", "showCorrectAnswer": true, "scripts": {}, "unitTests": [], "showFeedbackIcon": true}], "extensions": [], "variablesTest": {"condition": "", "maxRuns": 100}, "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "Find the price/earning ratio of a share."}, "advice": "<p>We are asked to find the price/earnings ratio, therefore we will use the formula</p>\n<p>$\\displaystyle P/E=\\frac{\\text{Share price}}{\\text{Earnings per share}}$</p>\n<p>In our situation&nbsp;we have,&nbsp;</p>\n<p>$\\text{Share price}=\\var{P}$,&nbsp;</p>\n<p>$\\text{Earnings per share}=\\var{Earn}$,</p>\n<p>and therefore we have</p>\n<p>$\\displaystyle P/E=\\frac{\\var{P}}{\\var{Earn}}$</p>\n<p>which upon calculation gives&nbsp;</p>\n<p>$\\begin{align}P/E&amp;=\\var{PErounded}\\quad \\text{(to 2 decimal places)}\\end{align}$</p>", "variable_groups": [], "rulesets": {}, "ungrouped_variables": ["P", "Earn", "PE", "PErounded"], "variables": {"PErounded": {"group": "Ungrouped variables", "name": "PErounded", "definition": "precround(PE,2)", "description": "", "templateType": "anything"}, "P": {"group": "Ungrouped variables", "name": "P", "definition": "random(5..40#0.01)", "description": "<p>P_0=\\frac{D_0(1+g)}{r_s-g}</p>", "templateType": "anything"}, "PE": {"group": "Ungrouped variables", "name": "PE", "definition": "P/Earn", "description": "", "templateType": "anything"}, "Earn": {"group": "Ungrouped variables", "name": "Earn", "definition": "precround(P/random(2..30#0.2),2)", "description": "", "templateType": "anything"}}, "tags": [], "statement": "<p>If you are unsure of how to do&nbsp;a question, click on&nbsp;<em>Reveal answers</em>&nbsp;to see the full working. Then, once you understand how to do the question, click on&nbsp;<em>Try another question like this one</em>&nbsp;to start again. Do each question repeatedly to ensure you have mastered it.</p>", "name": "price/earnings ratio PE", "preamble": {"css": "", "js": ""}, "type": "question", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}