SOLVED: one bank offers you 5% interest compounded semiannually. what is the equivalent rate if interest is compounded quarterly? (2024)

`); let searchUrl = `/search/`; history.forEach((elem) => { prevsearch.find('#prevsearch-options').append(`

${elem}

`); }); } $('#search-pretype-options').empty(); $('#search-pretype-options').append(prevsearch); let prevbooks = $(false); [ {title:"Recently Opened Textbooks", books:previous_books}, {title:"Recommended Textbooks", books:recommended_books} ].forEach((book_segment) => { if (Array.isArray(book_segment.books) && book_segment.books.length>0 && nsegments<2) { nsegments+=1; prevbooks = $(`

  • ${book_segment.title}
  • `); let searchUrl = "/books/xxx/"; book_segment.books.forEach((elem) => { prevbooks.find('#prevbooks-options'+nsegments.toString()).append(`

    ${elem.title} ${ordinal(elem.edition)} ${elem.author}

    `); }); } $('#search-pretype-options').append(prevbooks); }); } function anon_pretype() { let prebooks = null; try { prebooks = JSON.parse(localStorage.getItem('PRETYPE_BOOKS_ANON')); }catch(e) {} if ('previous_books' in prebooks && 'recommended_books' in prebooks) { previous_books = prebooks.previous_books; recommended_books = prebooks.recommended_books; if (typeof PREVBOOKS !== 'undefined' && Array.isArray(PREVBOOKS)) { new_prevbooks = PREVBOOKS; previous_books.forEach(elem => { for (let i = 0; i < new_prevbooks.length; i++) { if (elem.id == new_prevbooks[i].id) { return; } } new_prevbooks.push(elem); }); new_prevbooks = new_prevbooks.slice(0,3); previous_books = new_prevbooks; } if (typeof RECBOOKS !== 'undefined' && Array.isArray(RECBOOKS)) { new_recbooks = RECBOOKS; for (let j = 0; j < new_recbooks.length; j++) { new_recbooks[j].viewed_at = new Date(); } let insert = true; for (let i=0; i < recommended_books.length; i++){ for (let j = 0; j < new_recbooks.length; j++) { if (recommended_books[i].id == new_recbooks[j].id) { insert = false; } } if (insert){ new_recbooks.push(recommended_books[i]); } } new_recbooks.sort((a,b)=>{ adate = new Date(2000, 0, 1); bdate = new Date(2000, 0, 1); if ('viewed_at' in a) {adate = new Date(a.viewed_at);} if ('viewed_at' in b) {bdate = new Date(b.viewed_at);} // 100000000: instead of just erasing the suggestions from previous week, // we just move them to the back of the queue acurweek = ((new Date()).getDate()-adate.getDate()>7)?0:100000000; bcurweek = ((new Date()).getDate()-bdate.getDate()>7)?0:100000000; aviews = 0; bviews = 0; if ('views' in a) {aviews = acurweek+a.views;} if ('views' in b) {bviews = bcurweek+b.views;} return bviews - aviews; }); new_recbooks = new_recbooks.slice(0,3); recommended_books = new_recbooks; } localStorage.setItem('PRETYPE_BOOKS_ANON', JSON.stringify({ previous_books: previous_books, recommended_books: recommended_books })); build_popup(); } } var whiletyping_search_object = null; var whiletyping_search = { books: [], curriculum: [], topics: [] } var single_whiletyping_ajax_promise = null; var whiletyping_database_initial_burst = 0; //number of consecutive calls, after 3 we start the 1 per 5 min calls function get_whiletyping_database() { //gets the database from the server. // 1. by validating against a local database value we confirm that the framework is working and // reduce the ammount of continuous calls produced by errors to 1 per 5 minutes. return localforage.getItem('whiletyping_last_attempt').then(function(value) { if ( value==null || (new Date()) - (new Date(value)) > 1000*60*5 || (whiletyping_database_initial_burst < 3) ) { localforage.setItem('whiletyping_last_attempt', (new Date()).getTime()); // 2. Make an ajax call to the server and get the search database. let databaseUrl = `/search/whiletype_database/`; let resp = single_whiletyping_ajax_promise; if (resp === null) { whiletyping_database_initial_burst = whiletyping_database_initial_burst + 1; single_whiletyping_ajax_promise = resp = new Promise((resolve, reject) => { $.ajax({ url: databaseUrl, type: 'POST', data:{csrfmiddlewaretoken: "iHXTYGE65k5BMvQv1DGK74XE0GHeV6G7xFm14IuO9aisQergAnNKf8iGInTdljL8"}, success: function (data) { // 3. verify that the elements of the database exist and are arrays if ( ('books' in data) && ('curriculum' in data) && ('topics' in data) && Array.isArray(data.books) && Array.isArray(data.curriculum) && Array.isArray(data.topics)) { localforage.setItem('whiletyping_last_success', (new Date()).getTime()); localforage.setItem('whiletyping_database', data); resolve(data); } }, error: function (error) { console.log(error); resolve(null); }, complete: function (data) { single_whiletyping_ajax_promise = null; } }) }); } return resp; } return Promise.resolve(null); }).catch(function(err) { console.log(err); return Promise.resolve(null); }); } function get_whiletyping_search_object() { // gets the fuse objects that will be in charge of the search if (whiletyping_search_object){ return Promise.resolve(whiletyping_search_object); } database_promise = localforage.getItem('whiletyping_database').then(function(database) { return localforage.getItem('whiletyping_last_success').then(function(last_success) { if (database==null || (new Date()) - (new Date(last_success)) > 1000*60*60*24*30 || (new Date('2023-04-25T00:00:00')) - (new Date(last_success)) > 0) { // New database update return get_whiletyping_database().then(function(new_database) { if (new_database) { database = new_database; } return database; }); } else { return Promise.resolve(database); } }); }); return database_promise.then(function(database) { if (database) { const options = { isCaseSensitive: false, includeScore: true, shouldSort: true, // includeMatches: false, // findAllMatches: false, // minMatchCharLength: 1, // location: 0, threshold: 0.2, // distance: 100, // useExtendedSearch: false, ignoreLocation: true, // ignoreFieldNorm: false, // fieldNormWeight: 1, keys: [ "title" ] }; let curriculum_index={}; let topics_index={}; database.curriculum.forEach(c => curriculum_index[c.id]=c); database.topics.forEach(t => topics_index[t.id]=t); for (j=0; j

    Solutions
  • Textbooks
  • `); } function build_solutions() { if (Array.isArray(solution_search_result)) { const viewAllHTML = userSubscribed ? `View All` : ''; var solutions_section = $(`
  • Solutions ${viewAllHTML}
  • `); let questionUrl = "/questions/xxx/"; let askUrl = "/ask/question/xxx/"; solution_search_result.forEach((elem) => { let url = ('course' in elem)?askUrl:questionUrl; let solution_type = ('course' in elem)?'ask':'question'; let subtitle = ('course' in elem)?(elem.course??""):(elem.book ?? "")+"    "+(elem.chapter?"Chapter "+elem.chapter:""); solutions_section.find('#whiletyping-solutions').append(` ${elem.text} ${subtitle} `); }); $('#search-solution-options').empty(); if (Array.isArray(solution_search_result) && solution_search_result.length>0){ $('#search-solution-options').append(solutions_section); } MathJax.Hub.Queue(["Typeset", MathJax.Hub, document.getElementById('search-solution-options')]); } } function build_textbooks() { $('#search-pretype-options').empty(); $('#search-pretype-options').append($('#search-solution-options').html()); if (Array.isArray(textbook_search_result)) { var books_section = $(`
  • Textbooks View All
  • `); let searchUrl = "/books/xxx/"; textbook_search_result.forEach((elem) => { books_section.find('#whiletyping-books').append(` ${elem.title} ${ordinal(elem.edition)} ${elem.author} `); }); } if (Array.isArray(textbook_search_result) && textbook_search_result.length>0){ $('#search-pretype-options').append(books_section); } } function build_popup(first_time = false) { if ($('#search-text').val()=='') { build_pretype(); } else { solution_and_textbook_search(); } } var search_text_out = true; var search_popup_out = true; const is_login = false; function pretype_setup() { $('#search-text').focusin(function() { $('#search-popup').addClass('show'); resize_popup(); search_text_out = false; }); $( window ).resize(function() { resize_popup(); }); $('#search-text').focusout(() => { search_text_out = true; if (search_text_out && search_popup_out) { $('#search-popup').removeClass('show'); } }); $('#search-popup').mouseenter(() => { search_popup_out = false; }); $('#search-popup').mouseleave(() => { search_popup_out = true; if (search_text_out && search_popup_out) { $('#search-popup').removeClass('show'); } }); $('#search-text').on("keyup", delay(() => { build_popup(); }, 200)); build_popup(true); let prevbookUrl = `/search/pretype_books/`; if (is_login) { $.ajax({ url: prevbookUrl, method: 'POST', data:{csrfmiddlewaretoken: "iHXTYGE65k5BMvQv1DGK74XE0GHeV6G7xFm14IuO9aisQergAnNKf8iGInTdljL8"}, success: function(response){ previous_books = response.previous_books; recommended_books = response.recommended_books; build_popup(); }, error: function(response){ console.log(response); } }); } else { let prebooks = null; try { prebooks = JSON.parse(localStorage.getItem('PRETYPE_BOOKS_ANON')); }catch(e) {} if (prebooks && 'previous_books' in prebooks && 'recommended_books' in prebooks) { anon_pretype(); } else { $.ajax({ url: prevbookUrl, method: 'POST', data:{csrfmiddlewaretoken: "iHXTYGE65k5BMvQv1DGK74XE0GHeV6G7xFm14IuO9aisQergAnNKf8iGInTdljL8"}, success: function(response){ previous_books = response.previous_books; recommended_books = response.recommended_books; build_popup(); }, error: function(response){ console.log(response); } }); } } } $( document ).ready(pretype_setup); $( document ).ready(function(){ $('#search-popup').on('click', '.search-view-item', function(e) { e.preventDefault(); let autoCompleteSearchViewUrl = `/search/autocomplete_search_view/`; let objectUrl = $(this).attr('href'); let selectedId = $(this).data('objid'); let searchResults = []; $("#whiletyping-solutions").find("a").each(function() { let is_selected = selectedId === $(this).data('objid'); searchResults.push({ objectId: $(this).data('objid'), contentType: $(this).data('contenttype'), category: $(this).data('category'), selected: is_selected }); }); $("#whiletyping-books").find("a").each(function() { let is_selected = selectedId === $(this).data('objid'); searchResults.push({ objectId: $(this).data('objid'), contentType: $(this).data('contenttype'), category: $(this).data('category'), selected: is_selected }); }); $.ajax({ url: autoCompleteSearchViewUrl, method: 'POST', data:{ csrfmiddlewaretoken: "iHXTYGE65k5BMvQv1DGK74XE0GHeV6G7xFm14IuO9aisQergAnNKf8iGInTdljL8", query: $('#search-text').val(), searchObjects: JSON.stringify(searchResults) }, dataType: 'json', complete: function(data){ window.location.href = objectUrl; } }); }); });
    SOLVED: one bank offers you 5% interest compounded semiannually. what is the equivalent rate if interest is compounded quarterly? (2024)

    FAQs

    What is the equivalent rate of 5% compounded quarterly if it is compounded annually? ›

    For example, 5% interest with quarterly compounding has an effective annual yield of (1 + . 05/4)^4 - 1 = . 0509 or 5.09%.

    What rate (%) compounded quarterly is equivalent to 6% compounded semiannually? ›

    You can put this solution on YOUR website! So if you have 5.96% compounded quarterly, then it's roughly equivalent to 6% compounded semi-annually.

    What rate compound quarterly is equivalent to 14% compounded semiannually? ›

    Answer: The rate compounded quarterly that is equivalent to 14% compounded semiannually is 7%.

    What is the effective rate of interest corresponding to a nominal rate of 5% pa if interest is compounded quarterly? ›

    Here's how you can do this calculation: Calculate the quarterly rate: The nominal annual rate divided by the number of compounding periods gives the rate for each compounding period. In this case, the nominal annual rate is 5% and the number of compounding periods is 4, so the quarterly rate is 5% / 4 = 1.25%.

    What does 5 percent compounded annually mean? ›

    Amount you started the year with, plus 5 percent. 0.05 x $1,050 = $52.50. $1,050 + $52.50 = $1,102.50. Increasing the compounding frequency, finding a higher interest rate, and adding to your principal amount are ways to help your savings grow even faster.

    What is the formula for equivalent rate? ›

    To calculate AER: Divide the stated interest rate by the number of times a year that interest is paid (compounded) and add one. Raise the result to the number of times a year that interest is paid (compounded). Subtract one from the subsequent result.

    What is the equivalent rate with semiannual compounding an interest rate is 5% per annum with continuous compounding? ›

    Interest rate(continuous)0.05
    Effective Annual rate0.0513
    Equivalent rate (semi annual)0.0506
    Sep 17, 2022

    What is the formula for compounded semiannually? ›

    Compound Interest Formula for Different Time Periods
    Compounded Annually FormulaA = P (1 + r)t
    Compounded Semi-Annually FormulaA = P (1 + r/2)2t
    Compounded Quarterly FormulaA = P (1 + r/4)4t
    Compounded Monthly FormulaA = P (1 + r/12)12t
    Compounded Weekly FormulaA = P (1 + r/52)52t
    1 more row

    How do you calculate compounded semiannually? ›

    With semiannual compounding the interest on the investment will be calculated twice during the year. Using the simple interest formula I = Prt, at the end of six months (half a year) interest will be calculated as follows: I = $100 x 10% x 1/2 year = $5.

    What is the equivalent rate with semiannual compounding? ›

    Annual equivalent rates in different compound frequencies
    Nominal annual rateSemi-annualMonthly
    10%10.250%10.471%
    15%15.563%16.075%
    20%21.000%21.939%
    30%32.250%34.489%
    4 more rows
    Aug 2, 2023

    What is the equivalent rate of 10% compounded semi-annually to compounded annually? ›

    Compounded semiannually means that the rate of interest is charged every 6 months which makes it half a year. Thus, the effective annual rate of 10 percent compounded semiannually will be 10.25%.]

    What is the equivalent rate of 10% compounded semi-annually to compounded monthly? ›

    Below is a breakdown of the results of these different compound periods with a 10% nominal interest rate: Semiannual = 10.250% Quarterly = 10.381% Monthly = 10.471%

    What is the effective interest rate corresponding to the nominal rate of 5% compounded semiannually? ›

    The effective rate of interest corresponding to a nominal rate of 5%year is 5.00% if compounded annually. 5.06% if compounded semi-annually, 5.09% if compounded quarterly, 5.12% if compounded monthly.

    What is the effective rate if the nominal rate of 8% is converted semiannually? ›

    The effective rate of 8% compounded semi-annually is 8.16%. You should choose to invest at 8% compounded semi-annually.

    How do you convert annual compound rate to quarterly? ›

    Compound Interest Rate

    If the annual compound or effective interest rate is 10% with a quarterly interest payment, you would receive 2.41%. The reverse calculation would be 1.0241^4 – 1 = 10% effective annual interest rate.

    What is the formula for compounded quarterly annually? ›

    Using the quarterly compound interest formula: A = P (1 + r / 4)4t.

    How do you convert interest compounded annually to quarterly? ›

    When you are using monthly or quarterly interest rates instead of annual, you can find the appropriate rate by dividing the annual interest rate by the number of periods. For example, a 12 percent annual interest rate divided by four periods is a three percent quarterly interest rate.

    What is the effective annual rate of 5 compounded monthly? ›

    The effective annual rate of 5% compounded monthly is approximately 5.12%. A. True B.

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