// Numbas version: exam_results_page_options
{"name": "Worksheet 1(The time value of Money)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"interest": {"name": "interest", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "({value1}-{value})6/{value}"}, "value4": {"name": "value4", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(2000..3000#500)"}, "int": {"name": "int", "templateType": "number", "group": "Ungrouped variables", "description": "", "definition": "6"}, "month": {"name": "month", "templateType": "number", "group": "Ungrouped variables", "description": "", "definition": "4"}, "int2": {"name": "int2", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(9..10#0.5)"}, "n": {"name": "n", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "log({value5}/{value4})/log(1+{int3}/100)"}, "int6": {"name": "int6", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "(e^({int5}/100)-1)100"}, "value": {"name": "value", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(4000..6000#500)"}, "value5": {"name": "value5", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "{value4}+1000"}, "value1": {"name": "value1", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(7000..9000#500)"}, "value2": {"name": "value2", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "{value}0.06/4"}, "int5": {"name": "int5", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(5..6#0.1)"}, "int4": {"name": "int4", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(7..9#0.5)"}, "int1": {"name": "int1", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(9..9.5#0.1)"}, "year": {"name": "year", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "{value6}/(1+{int4}/100)^{years}"}, "value3": {"name": "value3", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(1000..1500#50)"}, "value6": {"name": "value6", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(6500..7000#100)"}, "interest1": {"name": "interest1", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "{intdec}36500/360"}, "int3": {"name": "int3", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(10..12#1)"}, "intdec": {"name": "intdec", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "{int1}/100"}, "amount": {"name": "amount", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "{value3}*(1+(133/365)({int2}/100))"}, "years": {"name": "years", "templateType": "randrange", "group": "Ungrouped variables", "description": "", "definition": "random(11..15#1)"}}, "ungrouped_variables": ["value", "value1", "interest", "month", "value2", "int", "int1", "interest1", "intdec", "value3", "int2", "amount", "value4", "value5", "int3", "n", "value6", "int4", "years", "year", "int5", "int6"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": ""}, "extensions": [], "variable_groups": [], "preamble": {"css": "", "js": ""}, "functions": {}, "tags": [], "statement": "<p></p>\n<p></p>", "variablesTest": {"condition": "", "maxRuns": 100}, "name": "Worksheet 1(The time value of Money)", "parts": [{"sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "prompt": "<p>Suppose a loan of&nbsp;&pound;{value} is to be repaid by the amount of&nbsp;&pound;{value1} at the end of two months. What is the annual rate of simple interest,i in %?&nbsp;</p>\n<p>[[0]]%</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "{interest}-0.1", "maxValue": "{interest}+0.1", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": "", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "type": "gapfill"}, {"sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "prompt": "<p>How long does it take for&nbsp;&pound;{value} to earn&nbsp;&pound;{value2} at {int}% p.a simple interest? Answer in %</p>\n<p>[[0]]%</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "{month}", "maxValue": "{month}", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": "", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "type": "gapfill"}, {"sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "prompt": "<p>The yield on a deposit is {int1}% on the ACT/360 basis. What is the equivalent yield on an ACT/365 basis? Answer in %</p>\n<p>[[0]]%</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "{interest1}", "maxValue": "{interest1}", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": "", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "type": "gapfill"}, {"sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "prompt": "<p>&pound;{value3} is deposited with a bank on 10 May 2014 and withdrawn at the same time of the day on 20 september 2014. Find the accumulated value if the interest rate is {int2}% simple interest.</p>\n<p>&pound;[[0]]</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "{amount}-1", "maxValue": "{amount}+1", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": "", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "type": "gapfill"}, {"sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "prompt": "<p>How long will it take for &pound;{value4} to accumulate to &pound;{value5} at {int3}% p.a? [[0]] Years</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "{n}", "maxValue": "{n}", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": "", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "type": "gapfill"}, {"sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "prompt": "<p>A necklace is appraised at&nbsp;&pound;{value6}. If the value of the necklace has increased at an annual rate of {int4}%, how much was it worth {years} years ago?&nbsp;</p>\n<p>&pound;&nbsp;[[0]]</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "{year}", "maxValue": "{year}", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": "", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "type": "gapfill"}, {"sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "prompt": "<p>Suppose, force of interest,&nbsp;&delta; = {int5}%. What is the effective annual rate of interest? Answer in %.&nbsp;</p>\n<p>[[0]]%</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "{int6}", "maxValue": "{int6}", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": "", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "type": "gapfill"}, {"sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "prompt": "<p>If a fund of&nbsp;&pound;1 accumulates at a force of&nbsp;&delta;(t)=0.02t, find the accumulated amount over 2 years as well as the annual effective rate of interest.</p>\n<p>Accumulated amount:[[0]]</p>\n<p>interest rate in %:[[1]]%</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "1.0408", "maxValue": "1.0408", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}, {"notationStyles": ["plain", "en", "si-en"], "marks": 1, "showCorrectAnswer": true, "minValue": "2.02", "maxValue": "2.02", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "mustBeReduced": false, "unitTests": [], "mustBeReducedPC": 0, "type": "numberentry", "correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": "", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "type": "gapfill"}], "advice": "<p>$1+i=(1+\\frac{i^{(p)}}{p})^p$</p>\n<p>$1+i=e^{\\delta }$</p>\n<p>$v_{i}=\\frac{1}{1+i}=e^{-\\delta }$</p>\n<p>$d=1-v_{i}$</p>\n<p>$A(n)=1+in$</p>\n<p>$A(n)={(1+i)}^n$</p>\n<p>$A(n)=(1+\\frac{i^{(p)}}{p})^{pn}$</p>\n<p>$A(n)=e^{{\\delta}n}$</p>\n<p>$A(n)=e^{\\int_{0}^{n}\\delta (t) dt)}$</p>\n<p>$1+i_M=(1+i_R)(1+q)$</p>", "rulesets": {}, "type": "question", "contributors": [{"name": "Swa Lup", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2902/"}]}]}], "contributors": [{"name": "Swa Lup", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2902/"}]}