// Numbas version: finer_feedback_settings
{"name": "Financial Maths Formulae ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "b", "ci", "ch1", "apr", "pv", "ch2", "ch3", "c", "ann", "ch4", "d"], "name": "Financial Maths Formulae ", "tags": ["financial", "rebel", "REBEL", "Rebel", "rebelmaths"], "advice": "<p>No solution given.</p>", "rulesets": {}, "parts": [{"maxAnswers": 0, "shuffleChoices": false, "matrix": [["1", 0, 0, 0], [0, "1", 0, 0], [0, 0, "1", 0], [0, 0, 0, "1"]], "shuffleAnswers": false, "minAnswers": 0, "marks": 0, "variableReplacements": [], "answers": ["<p>Compound Interest</p>", "<p>Present Value</p>", "<p>APR</p>", "<p>Annuity</p>"], "choices": ["{ch1}", "{ch2}", "{ch3}", "<p>{ch4}</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "warningType": "none", "showCorrectAnswer": true, "type": "m_n_x", "minMarks": 0, "layout": {"type": "all", "expression": ""}}], "extensions": [], "statement": "<p>Match each of the following questions with&nbsp;the relevant formula.</p>\n<p></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "random(0..1)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "ci": {"definition": "\n    [\"An individual intends to deposit \u20ac50,000 into a savings account. If no withdrawals are made from the account, it will have grown to \u20ac59,626 after four years. Calculate the annual rate of compound interest. \",\n      \"A Lotto winner intends to deposit \u20ac125,000 into a savings account. If no withdrawals are made from the account, it will have grown to \u20ac170,061 after four years. Calculate the rate of compound interest per annum.\"\n      ]\n    ", "templateType": "anything", "group": "Ungrouped variables", "name": "ci", "description": ""}, "b": {"definition": "random(0..1)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "pv": {"definition": "[\"A payment of \u20ac2,000 is due to be made 4 years from today. If the rate of interest is 5% per annum, calculate the present value of the payment.\",\"Three years from today, on his twenty-first birthday, Tristan Snotte-Wragge will receive an inheritance of \u20ac50,000. If the rate of interest is 4%, what is the present value of Tristan\u2019s inheritance?\"]", "templateType": "anything", "group": "Ungrouped variables", "name": "pv", "description": ""}, "d": {"definition": "random(0..1)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "apr": {"definition": "[\"A savings account earns compound interest at 1.6% per month. Calculate the equivalent annual rate of interest.\", \"A savings account in Bank of Ruritania earns compound interest at 1.25% per month. Calculate the equivalent annual rate of interest.\"]\n    ", "templateType": "anything", "group": "Ungrouped variables", "name": "apr", "description": ""}, "ann": {"definition": "[\"A company intends to make three equal deposits into a sinking fund, on January 1st 2016, January 1st 2017 and January 1st 2018. The fund will earn compound interest at 8% per annum. If no withdrawals are made from it, there will be \u20ac360,000 in the fund on December 31st 2018. Calculate the size of each deposit. \",\"On January 1st, 2015 a company borrowed \u20ac150,000 from a bank at 4.5% per annum compound interest. The loan must be repaid to the bank in three equal repayments, due on December 31st in 2015, 2016 and 2017. Calculate how large each repayment will need to be.\"]", "templateType": "anything", "group": "Ungrouped variables", "name": "ann", "description": ""}, "c": {"definition": "random(0..1)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "ch1": {"definition": "ci[a]", "templateType": "anything", "group": "Ungrouped variables", "name": "ch1", "description": ""}, "ch2": {"definition": "pv[b]", "templateType": "anything", "group": "Ungrouped variables", "name": "ch2", "description": ""}, "ch3": {"definition": "apr[c]", "templateType": "anything", "group": "Ungrouped variables", "name": "ch3", "description": ""}, "ch4": {"definition": "ann[d]", "templateType": "anything", "group": "Ungrouped variables", "name": "ch4", "description": ""}}, "metadata": {"description": "<p>Match the question with the correct formula.</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}