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Includes rearranged cost of capital relationships (e.g., WACC structure with tax), CAPM-style expected return with beta, levered beta and growth-related valuation expressions such as P = D0(1+g)/(re−g) and g = bre. Provides discounting and annuity present-value tables with defined discount rates, periods, and standard factors used for valuation calculations.",{"@graph":69,"@context":123},[70,84,106],{"@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/afm-formula-sheet-and-maths-tables-finance-study-reference/289152/",{"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/afm-formula-sheet-and-maths-tables-finance-study-reference/289152.png","ImageObject",300,407,{"name":92,"@type":93},"Nguyễn Văn Học","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-17",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",18,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What types of finance topics are covered in this AFM formula sheet?","Question",{"text":113,"@type":114},"It covers core AFM equations including expected returns (CAPM-style), WACC relationships, valuation with growth, and discounting-based calculations.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are the discount rates and periods used in the present value table?",{"text":118,"@type":114},"The table uses discount rate r and the number of periods n to compute present value factors for a cash payment over time.",{"name":120,"@type":111,"acceptedAnswer":121},"What is included in the annuity table?",{"text":122,"@type":114},"The annuity table provides present value factors for annuity payments of 1 using the same variables r (discount rate) and n (number of periods).","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},289152,1790104068,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","Advanced Financial Management (AFM) Formula Sheet and Maths Tables  \nFormulae  \n􀀞􀀝􀀜􀀛􀀚􀀜􀀙􀀘􀀜 􀀙􀀘􀀝 􀀜􀀚􀀚􀀖􀀕 􀀔􀀕􀀞􀀓􀀞􀀒􀀜􀀑􀀜􀀞􀀘 􀀐 􀀏􀀎􀀜􀀑􀀍 􀀑􀀙􀀌􀀋  \nke = kei + (1– T)(kei – k d) ~~ ~~VV  \nOr rearranged ke + (1–Tt)k d ⎜VV~~ ~~ ⎟ = kei + (1–Tt)kei ⎝⎜⎛ ~~ ~~VV~~ ~~ ⎟  \n􀀊􀀍􀀖 􀀉􀀙􀀓􀀜􀀑􀀙􀀚 􀀈􀀒􀀒􀀖􀀑 􀀔􀀕􀀜􀀇􀀜􀀘􀀛 􀀞􀀝􀀖􀀚 E(ri ) = Rf + βi (E(rm )–Rf)􀀊􀀍􀀖 􀀙􀀒􀀒􀀖􀀑 􀀆􀀖􀀑􀀙 􀀅􀀞􀀕􀀄􀀃􀀚􀀙  \nβa = 􀀚􀀜􀀛(Ve~~ ~~+~~ ~~VVd–~~ ~~T)) βe 􀀙􀀘􀀗 + 􀀜􀀛􀀚 (VeV(~~ ~~1dT–)T)) βd 􀀙􀀘􀀗􀀊􀀍􀀖 􀀂􀀕􀀞􀀎􀀑􀀍 􀀞􀀝􀀖􀀚  \nP = Do (1+ g)  \no (re – g)􀀂􀀞􀀕􀀝􀀞􀀘􀀁􀀒 􀀛􀀕􀀞􀀎􀀑􀀍 􀀙􀀓􀀓􀀕􀀞􀀌􀀜􀀄􀀙􀀑􀀜􀀞􀀘  \ng = bre  \n􀀊􀀍􀀖 􀀎􀀖􀀜􀀛􀀍􀀑􀀖􀀝 􀀙v􀀖􀀕􀀙􀀛􀀖 􀀇􀀞􀀒􀀑 􀀞􀀅 􀀇􀀙􀀓􀀜􀀑􀀙􀀚  \nWACC = 􀀚􀀜􀀛 ~~ ~~VeeVd~~ ~~ 􀀙􀀘􀀗ke + 􀀚􀀜􀀛 ~~ ~~VeVd~~ ~~ 􀀙􀀘􀀗kd (1– T)􀀊􀀍􀀖 F􀀜􀀒􀀍􀀖􀀕 􀀅􀀞􀀕􀀄􀀃􀀚􀀙(1+ i) = (1+ r)(1+h)  \n􀀔􀀃􀀕􀀇􀀍􀀙􀀒􀀜􀀘􀀛 􀀓􀀞􀀎􀀖􀀕 􀀓􀀙􀀕􀀜􀀑y 􀀙􀀘􀀝 􀀜􀀘􀀑􀀖􀀕􀀖􀀒􀀑 􀀕􀀙􀀑􀀖 􀀓􀀙􀀕􀀜􀀑y  \nS S x (1+hc ) F S x (1+ic )  \n1 = 0 (1+hb) 0 = 0 (1+ib)  \n􀀞􀀝􀀜􀀛􀀜􀀚􀀝 􀀘􀀗􀀖􀀚􀀕􀀗􀀔􀀓 􀀒􀀔􀀖􀀚 􀀞􀀛 􀀒􀀚􀀖􀀑􀀕􀀗  \n􀀛 PV 􀀘  \nMIRR = 􀀚􀀙 ~~ ~~P~~ ~~RVI~~ ~~􀀗􀀖 (1+ re )–1  \n􀀐􀀏􀀚 􀀎􀀓􀀔􀀍􀀌􀀋􀀊􀀍􀀏􀀞􀀓􀀚􀀉 􀀞􀀈􀀖􀀜􀀞􀀗 􀀈􀀕􀀜􀀍􀀜􀀗􀀇 􀀆􀀞􀀝􀀚􀀓  \nc = PaN(d1)– PeN(d2 )e–rt  \nPresent Value Table  \nPresent value of 1 i.e. (1 + r)–n Where r = discount rate  \nn = number of periods until payment  \nDiscount rate (r)  \nPeriods  \n(n) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%  \n1 2  \n3 4  \n5  \n6 7  \n8 9  \n10  \n11  \n12  \n13  \n14  \n15  \n(n)  \n0·990 0·980 0·971 0·961 0·951 0·942 0·933 0·923 0·914 0·905 0·896 0·887 0·879 0·870  \n0·861  \n11%  \n0·980 0·961 0·942 0·924 0·906 0·888 0·871 0·853 0·837 0·820 0·804 0·788 0·773 0·758  \n0·743  \n12%  \n0·971 0·943 0·915 0·888 0·863 0·837 0·813 0·789 0·766 0·744 0·722 0·701 0·681 0·661  \n0·642  \n13%  \n0·962 0·925 0·889 0·855 0·822 0·790 0·760 0·731 0·703 0·676 0·650 0·625 0·601 0·577  \n0·555  \n14%  \n0·952 0·907 0·864 0·823 0·784 0·746 0·711 0·677 0·645 0·614 0·585 0·557 0·530 0·505  \n0·481  \n15%  \n0·943 0·890 0·840 0·792 0·747 0·705 0·665 0·627 0·592 0·558 0·527 0·497 0·469 0·442  \n0·417  \n16%  \n0·935 0·873 0·816 0·763 0·713 0·666 0·623 0·582 0·544 0·508 0·475 0·444 0·415 0·388  \n0·362  \n17%  \n0·926 0·857 0·794 0·735 0·681 0·630 0·583 0·540 0·500 0·463 0·429 0·397 0·368 0·340  \n0·315  \n18%  \n0·917 0·842 0·772 0·708 0·650 0·596 0·547 0·502 0·460 0·422 0·388 0·356 0·326 0·299  \n0·275  \n19%  \n0·909 0·826 0·751 0·683 0·621 0·564 0·513 0·467 0·424 0·386 0·350 0·319 0·290 0·263  \n0·239  \n20%  \n1 2  \n3 4  \n5  \n6 7  \n8 9  \n10  \n11  \n12  \n13  \n14  \n15  \n1 2  \n3 4  \n5  \n6 7  \n8 9  \n10  \n11  \n12  \n13  \n14  \n15  \n0·901 0·812 0·731 0·659 0·593 0·535 0·482 0·434 0·391 0·352 0·317 0·286 0·258 0·232  \n0·209  \n0·893 0·797 0·712 0·636 0·567 0·507 0·452 0·404 0·361 0·322 0·287 0·257 0·229 0·205  \n0·183  \n0·885 0·783 0·693 0·613 0·543 0·480 0·425 0·376 0·333 0·295 0·261 0·231 0·204 0·181  \n0·160  \n0·877 0·769 0·675 0·592 0·519 0·456 0·400 0·351 0·308 0·270 0·237 0·208 0·182 0·160  \n0·140  \n0·870 0·756 0·658 0·572 0·497 0·432 0·376 0·327 0·284 0·247 0·215 0·187 0·163 0·141  \n0·123  \n0·862 0·743 0·641 0·552 0·476 0·410 0·354 0·305 0·263 0·227 0·195 0·168 0·145 0·125  \n0·108  \n0·855 0·731 0·624 0·534 0·456 0·390 0·333 0·285 0·243 0·208 0·178 0·152 0·130 0·111  \n0·095  \n0·847 0·718 0·609 0·516 0·437 0·370 0·314 0·266 0·225 0·191 0·162 0·137 0·116 0·099  \n0·084  \n0·840 0·706 0·593 0·499 0·419 0·352 0·296 0·249 0·209 0·176 0·148 0·124 0·104 0·088  \n0·074  \n0·833 0·694 0·579 0·482 0·402 0·335 0·279 0·233 0·194 0·162 0·135 0·112 0·093 0·078  \n0·065  \n1 2  \n3 4  \n5  \n6 7  \n8 9  \n10  \n11  \n12  \n13  \n14  \n15  \nPresent value of an annuity of 1 i.e.  \nWhere r = discount rate  \nn = number of periods  \nAnnuity Table  \n1 –( 1 + r)–nr  \nDiscount rate (r)  \nPeriods  \n(n) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%  \n1 2  \n3 4  \n5  \n6 7  \n8 9  \n10  \n11  \n12  \n13  \n14  \n15  \n(n)  \n0·990 1·970 2·941 3·902  \n4·853  \n5·795 6·728 7·652 8·566 9·471 10·368 11·255 12·134 13·004 13·865 11%  \n0·980 1·942 2·884 3·808  \n4·713  \n5·601 6·472 7·325 8·162 8·983 9·787 10·575 11·348 12·106 12·849 12%  \n0·971 1·913 2·829 3·717  \n4·580  \n5·417 6·230 7·020 7·786 8·530 9·253 9·954 10·635 11·296 11·938 13%  \n0·962 1·886 2·775 3·630  \n4·452  \n5·242 6·002 6·733 7·435 8·111 8·760 9·385 9·986 10·563 11·118 14%  \n0·952 1·859 2·723 3·546  \n4·329  \n5·076 5·786 6·463 7·108 7·722 8·3","cbCaioYnRtukTcOj","https://ap.wps.com/l/cbCaioYnRtukTcOj","pdf",101362,"English","# Formulae\n## Cost of capital and discounting identities\n## Discount factors and present value table\n## Annuity table","[{\"question\":\"What types of finance topics are covered in this AFM formula sheet?\",\"answer\":\"It covers core AFM equations including expected returns (CAPM-style), WACC relationships, valuation with growth, and discounting-based calculations.\"},{\"question\":\"How are the discount rates and periods used in the present value table?\",\"answer\":\"The table uses discount rate r and the number of periods n to compute present value factors for a cash payment over time.\"},{\"question\":\"What is included in the annuity table?\",\"answer\":\"The annuity table provides present value factors for annuity payments of 1 using the same variables r (discount rate) and n (number of periods).\"}]","AFM Formula Sheet and Maths Tables - Finance study reference | PDF",1789634644]