[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-398821-105":59,"doc-detail-398821-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","exam2_syllabus","Exam2_Syllabus","","This syllabus defines learning objectives and learning outcomes for an examination in financial mathematics, outlining what candidates must be able to do in practical calculations. It covers the time value of money, including present, current, accumulated and net present values, discount factors, and interest rate transformations. It further addresses annuities and cash flows with non-contingent payments, loan concepts and amortization calculations, and bond pricing, yields, and callable bond objectives. Assumed foundations include calculus and introductory probability.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/exam2_syllabus/398821/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/exam2_syllabus/398821.png","ImageObject",300,407,{"name":92,"@type":93},"Jordan Avery","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-28","2026-09-27",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What core concepts does the syllabus require for time value of money calculations?","Question",{"text":112,"@type":113},"It requires understanding present value, current value, accumulated value, net present value, discount factors, and multiple interest-rate and discount-rate definitions, plus ability to solve related time value of money equations using simple or compound interest.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What annuity and cash-flow types are included in the learning outcomes?",{"text":117,"@type":113},"The syllabus includes annuity-immediate, annuity due, perpetuity, various payable frequencies, level annuities, arithmetic/geometric increasing or decreasing annuities, and term definitions, and expects candidates to compute present and future values and other remaining items for these patterns.",{"name":119,"@type":110,"acceptedAnswer":120},"Which topics in loans and bonds must candidates be able to calculate?",{"text":121,"@type":113},"For loans, candidates must handle principal, interest, outstanding balance, final/balloon payments, and amortization, including missing-item calculations and refinancing-related computations. For bonds, they must define pricing and value measures, compute related items such as yield and coupon values, and calculate callable bond prices targeting a specified minimum yield.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},398821,1791137286,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":34,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144,"preview_page_count":4},1099523882367,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","The syllabus for this basic education requirement is defined in the form of learning objectives that set forth, usually in broad terms, what the candidate should be able to do in actual practice.  \nPlease check the “Syllabus Updates” section of the CAS Web Site for any changes to the Syllabus. The options for obtaining credit for this basic education requirement are listed below and in Examination Rules, C. Grades and Accreditation, Waivers of Examinations section of the Syllabus.  \nThe purpose of the syllabus is to develop knowledge of the fundamental concepts of financial mathematics, and how those concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows. The candidate will also be introduced to financial instruments, including derivatives, and the concept of no-arbitrage as it relates to financial mathematics.  \nA basic knowledge of calculus and an introductory knowledge of probability is assumed.  \nThe Learning Objectives and Outcomes to follow have been sourced directly from the Syllabus: Financial Mathematics Exam – August 2023, published by the Society of Actuaries.  \nLEARNING OBJECTIVES  \n\n| 1. Time Value of Money (5-15%) |\n| --- |\n| Learning Objectives |\n| The Candidate will understand and be able to perform calculations relating to present value, current value, and accumulated value. |\n| Learning Outcomes |\n| The Candidate will be able to:\u003Cbr>a) Define and recognize the definitions of the following terms: interest rate (rate of interest), simple interest, compound interest, accumulation function, future value, current value, present value, net present value, discount factor, discount rate (rate of discount), convertible m-thly, nominal rate, effective rate, inflation and real rate of interest, force of interest, equation of value.\u003Cbr>b) Given any three of interest rate, period of time, present value, and future value, calculate the remaining item using simple or compound interest. Solve time value of money equations involving variable force of interest.\u003Cbr>c) Given any one of the effective interest rate, the nominal interest rate convertible m-thly, the effective discount rate, the nominal discount rate convertible m-thly, or the force of interest, calculate any of the other items.\u003Cbr>d) Write the equation of value given a set of cash flows and an interest rate. |\n\n\n| 2. Topic: Annuities/cash flows with non-contingent payments (20-30%) |\n| --- |\n| Learning Objectives |\n| The Candidate will be able to calculate present value, current value, and accumulated value for sequences of non-contingent payments. |\n| Learning Outcomes |\n| The Candidate will be able to:\u003Cbr>a) Define and recognize the definitions of the following terms:\u003Cbr>annuity-immediate, annuity due, perpetuity, payable m-thly or payable continuously, level payment annuity, arithmetic increasing/decreasing annuity, geometric increasing/decreasing annuity, term of annuity.\u003Cbr>b) For each of the following types of annuity/cash flows, given sufficient information of immediate or due, present value, future value, current value, interest rate, payment amount, and term of annuity, calculate any remaining item.\u003Cbr>o Level annuity, finite term.\u003Cbr>o Level perpetuity.\u003Cbr>o Non-level annuities/cash flows.\u003Cbr>􀂃 Arithmetic progression, finite term and perpetuity.\u003Cbr>􀂃 Geometric progression, finite term and perpetuity.\u003Cbr>􀂃 Other non-level annuities/cash flows. |\n\n\n| 3. Topic: Loans (15-25%) |\n| --- |\n| Learning Objectives |\n| The Candidate will understand key concepts concerning loans and how to perform related calculations. |\n| Learning Outcomes |\n| The Candidate will be able to:\u003Cbr>a) Define and recognize the definitions of the following terms: principal, interest, term of loan, outstanding balance, final payment (drop payment, balloon payment), amortization.\u003Cbr>b) Ca","cbCairvNsa7aiVNY","https://ap.wps.com/l/cbCairvNsa7aiVNY","pdf",488510,"English","# Learning Objectives\n## 1. Time Value of Money\n## 2. Annuities/Cash Flows with Non-Contingent Payments\n## 3. Loans\n## 4. Bonds\n## 5. General Cash Flows, Portfolios, and Asset Liability Management","[{\"question\":\"What core concepts does the syllabus require for time value of money calculations?\",\"answer\":\"It requires understanding present value, current value, accumulated value, net present value, discount factors, and multiple interest-rate and discount-rate definitions, plus ability to solve related time value of money equations using simple or compound interest.\"},{\"question\":\"What annuity and cash-flow types are included in the learning outcomes?\",\"answer\":\"The syllabus includes annuity-immediate, annuity due, perpetuity, various payable frequencies, level annuities, arithmetic/geometric increasing or decreasing annuities, and term definitions, and expects candidates to compute present and future values and other remaining items for these patterns.\"},{\"question\":\"Which topics in loans and bonds must candidates be able to calculate?\",\"answer\":\"For loans, candidates must handle principal, interest, outstanding balance, final/balloon payments, and amortization, including missing-item calculations and refinancing-related computations. For bonds, they must define pricing and value measures, compute related items such as yield and coupon values, and calculate callable bond prices targeting a specified minimum yield.\"}]","Exam2_Syllabus | PDF",1790489115,18]