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The second course extends to derivative securities, actuarial model concepts for risk analysis, option pricing (binomial and Black-Scholes), Greeks and hedging, arbitrage-free models, mean-variance portfolio analysis, CAPM/factor models, behavioral finance, simulation-based risk, and corporate capital structure effects. Prerequisites, learning outcomes, and references are provided.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/math-45505550-45605560-mathematics-of-investment-i-ii-course-syllabus/399294/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/math-45505550-45605560-mathematics-of-investment-i-ii-course-syllabus/399294.png","ImageObject",300,407,{"name":42,"@type":43},"Eliana","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-28","2026-09-27",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What topics are covered in MATH 4550/5550?","Question",{"text":63,"@type":64},"Topics include interest theory, non-contingent annuities, loan repayment and amortization, bonds and stocks, advanced analysis (yield curves, arbitrage, duration and convexity, immunization), and interest rate swaps.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What topics are covered in MATH 4560/5560?",{"text":68,"@type":64},"Topics include risk and return, capital structure, long-term financing, basic derivatives (forwards, futures, options, volatility), discrete binomial models with risk-neutral pricing, and continuous-time Black-Scholes and related option classes with Greeks and hedging.",{"name":70,"@type":61,"acceptedAnswer":71},"What prerequisites are required for these courses?",{"text":72,"@type":64},"For MATH 4550/5550, students need a C or better in MATH 1920 or consent of instructor. For MATH 4560/5560, students need C or better in both MATH 4550/5550 and MATH 4470/5470, or consent of instructor.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},399294,1791049694,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":55,"slug":125},"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":111,"preview_page_count":4},4398048949847,"https://ap-avatar.wpscdn.com/avatar/400002536579ef2da7f?_k=1778318612642679267","Tennessee Technological University  \nMathematics Department  \nMATH 4550/5550-4560/5560: Mathematics of Investment I-II  \nI. COURSE DESCRIPTION FROM CATALOG:  \nMATH 4550/5550  \nTopics include examination of annuities, loans, bonds and other securities, portfolio, immunization, interest rate swaps. Lec. 3. Cr. 3.  \nMATH 4560/5560  \nTopics include derivative securities, mathematical models of financial risk management, and corporate finance. Lec. 3. Cr. 3.  \nII. PREREQUISITE(S):  \nMATH 4550/5550: C or better in MATH 1920 or consent of instructor.  \nMATH 4560/5560: C or better in both MATH 4550/5550 and MATH 4470/5470, or consent of instructor.  \nIII. COURSE OBJECTIVE(S):  \nThe main objective of this sequence is to introduce basic investment mathematical tools and models in finance and economics.  \nIV. STUDENT LEARNING OUTCOMES:  \nMATH 4550/5550  \nUpon successful completion of this course students will be able to manipulate and solve problems concerning time value of money; evaluate the value of different types of annuities certain at a given time point; loan amortization schedules and related  \ncalculations including final drop and balloon payments, depreciation; perform calculations related to bonds and other securities; yield curves, rates of return including dollar and time weighted rate of return; acquire the skill to find duration, convexity, and immunization of a set of cash flows; understand and interpret the terminologies related tostock; key concepts regarding interest rate swaps.  \nMATH 4560/5560  \nUpon successful completion of this course students will develop the theoretical basis of certain actuarial models and the application of those concepts to financial risk analysis; derivative securities – forwards and futures; option pricing models-binomial and BlackSholes; option Greeks and quantitative risk management; arbitrage-free models; perform mean variance portfolio analysis; valuation (pricing) of different assets including Capital Asset Pricing and Factor models; behavioral finance and market efficiency; different measures of investment risk including simulation; effect of capital structure of a company.  \nV. TOPICS TO BE COVERED:  \nMATH 4550/5550 Topics  \n1. Interest Theory: Accumulation function, discount function, interest rate, discount factor, discount rate, time value of money, force of interest, equation of value.  \n2. Non-contingent Annuities: Annuities immediate, annuities due, perpetuities, deferred annuities, continuous annuities, annuities with general payments, annuities with different payment and conversion periods.  \n3. Loan Repayment: Amortized loans and amortization schedules, sinking fund method, loan repayment with other patterns, final drop and balloon payments, replacement of capital.  \n4. Bonds and Stocks: Bond pricing formulas, bond amortization schedules, valuing a bond, callable bounds, floating-rate bonds, yield rate, coupon and coupon rate, stocksand terminologies.  \n5. Advanced Analysis: Rate of return, yield curves, rates, arbitrage, duration, convexity, measures of price sensitivity, immunization, determinants of interest rates.  \n6. Interest Rate Swaps: Swap rate, market value of a swap, deferred swap, amortizing swap, and related calculations.  \nMATH 4560/5560 Topics  \n1. Risk and Return: project analysis, competitive and efficient markets, capital marketsand pricing of risk, portfolio optimization and capital asset pricing models, cost of capital, capital market efficiency, behavior of investor, sensitivity analysis, simulation, real options.  \n2. Capital Structure: Perfect market, the interest tax deduction, valuing the interest tax shield, financial distress, managerial incentives and information.  \n3. Long Term Financing: Raising equity capital, debt financing.  \n4. Basic Derivatives: Forwards, Futures, Options, Put-Call Parity, Properties of Option Prices, Margin, Insurance, Spreads and Collars, Volatility.  \n5. Discrete Model: Binomial trees-One-period Binomial Tree, Multi-perio","cbCaitLANwutpkTS","https://ap.wps.com/l/cbCaitLANwutpkTS","pdf",304885,"English","# Course Description from Catalog\n## Topics for MATH 4550/5550\n## Topics for MATH 4560/5560\n# Prerequisite(s)\n# Course Objective(s)\n# Student Learning Outcomes\n# Possible Texts and References\n# Technology That May Be Used\n# Student Academic Misconduct Policy\n# Disability Accommodation","[{\"question\":\"What topics are covered in MATH 4550/5550?\",\"answer\":\"Topics include interest theory, non-contingent annuities, loan repayment and amortization, bonds and stocks, advanced analysis (yield curves, arbitrage, duration and convexity, immunization), and interest rate swaps.\"},{\"question\":\"What topics are covered in MATH 4560/5560?\",\"answer\":\"Topics include risk and return, capital structure, long-term financing, basic derivatives (forwards, futures, options, volatility), discrete binomial models with risk-neutral pricing, and continuous-time Black-Scholes and related option classes with Greeks and hedging.\"},{\"question\":\"What prerequisites are required for these courses?\",\"answer\":\"For MATH 4550/5550, students need a C or better in MATH 1920 or consent of instructor. For MATH 4560/5560, students need C or better in both MATH 4550/5550 and MATH 4470/5470, or consent of instructor.\"}]","MATH 4550/5550-4560/5560: Mathematics of Investment I-II - Course syllabus | PDF",1790495917]