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Guide e consigli
Guide e consigli

Financial markets for corporate and retail clients (cod. 87127), Dispense di Corporate e Investment Banking

Appunti completi del corso in lingua inglese tenuto dal prof. Castellani durante l'a.a. 2023/24 in UniBg. Basati sulle slides e integrati con tutto quanto detto a lezione. Completi di esempi ed esercizi che si possono trovare all'esame. Argomenti trattati: - Introduction to credit intermediation - Credit risk - Off balance-sheet risk - The corporation - Introduction to financial statement analysis - Financial decision making and the law of one price - Investment decision rules - Fundamentals of capital budgeting - Valuing stocks - Debt financing

Tipologia: Dispense

2023/2024

In vendita dal 31/05/2024

sharibrignoli
sharibrignoli 🇮🇹

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O/78-#'>/0&-'%5'-D&"#+'KO/78-#'@/,"#/0"W/#"%2L'k'6/78-#',7".-',-7'1$/7-'€'2&64-7'%5'1$/7-1'' F$-'%&#1#/2:"2?'6&1#'/09/+1'4-',%1"#">-'K‚'4%%8'>/0&-L'/2:'%5#-2':"55-71'1&41#/2#"/00+'57%6'4%%8'>/0&-<' O/78-#'#%'G%%8'7/#"%' 𝑚𝑎𝑟𝑘𝑒𝑡 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑏𝑜𝑜𝑘 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 ' F$"1'7/#"%'?">-1'&1'"25%76/#"%2'/4%&#'#$-'-N,-.#-:'5&#&7-'?7%9#$'%5'/'.%6,/2+<'!-'./2'$/>-'X'#+,-1'%5'1#%.81*' C b/0&-'1#%.81*'0%9'6c4'7/#"%'ƒ'.%6,/2+'#$/#',7%>":-1'7-#&721'#%'"2>-1#%71'6/"20+'57%6'#$-':"1#7"4&#"%2'%5':">":-2:1' C a7%9#$'1#%.81*'$"?$'6c4'7/#"%'ƒ'.%6,/2+'#$/#',7%>":-1'7-#&721'#%'"2>-1#%71'6/"20+'57%6'#$-'7/#-'%5'./,"#/0'?/"2'4-./&1-' #$-1-'1#%.81'/7-'-N,-.#-:'#%'?7%9'>-7+'6&.$'"2'#$-'5&#&7-^'2%9'#$-'.%6,/2+':"1#7"4&#-1'0"##0-'%7'Y':">":-2:3'1%'#$-'7-#&72' .%6-1'57%6'#$-'?7%9#$'%5'1#%.8',7".-'"2'#$-'5&#&7-' F$"1'>/0&-'6&1#'4-'.%6,/7-:'#%'%#$-7'.%6,/2"-1;'#%'4-'1"?2"5"./2#<'F$-'7-1&0#'%5'#$"1'7/#"%1'6-/21'#$/#'"2>-1#%71'/7-'9"00"2?'#%',/+'`' KOcG'>/0&-L'#"6-1'#$-'4%%8'>/0&-'%5'-D&"#+*'#$-'$"?$-7'#$-'>/0&-3'#$-'?7-/#-7'"2>-1#%71'/7-'9"00"2?'#%',/+3'1%'#$-'?7-/#-7'#$-'-N,-.#/#"%21' /4%&#'#$-'5&#&7-'/22&/0'?7%9#$'%5'#$-'.%6,/2+<' M2#-7,7"1-'>/0&-'KFMbL' M2#-7,7"1-'>/0&-'k'Ob'%5'-D&"#+'\'J-4#'l'@/1$' M2#-7,7"1-'>/0&-'"1'#$-'#%#/0'>/0&-'%5'/00'/11-#1'K2%#'%20+'-D&"#+L'-N.0&:"2?'./1$3'4-./&1-'./1$'1'.%21":-7-:'/1'2-?/#">-':-4#3'1"2.-' "#'./2'4-'&1-:'#%'"66-:"/#-0+',/+'%&#':-4#<')5':-4#'k'Y'à'-D&"#+'k'/11-#1' &#$'/*(-%+%*/*#%( (%.&1'%2'./1$'50%91'#$/#'#$-'.%6,/2+'"1'/40-'#%'?-2-7/#-'"2'#$-'5&#&7-<'' 𝐺𝑟𝑜𝑠𝑠 𝑃𝑟𝑜𝑓𝑖𝑡 = 𝑇𝑜𝑡𝑎𝑙 𝑆𝑎𝑙𝑒𝑠 𝑅𝑒𝑣𝑒𝑛𝑢𝑒𝑠 − 𝐶𝑜𝑠𝑡 𝑜𝑓 𝑠𝑎𝑙𝑒𝑠' M/72"2?1',-7'1$/7-*' 5"71#',7%N+'/4%&#'$%9'6&.$'%5' #$-'-/72"2?1'/7-'?-2-7/#-:',-7'1$/7-<' )#'?">-1' "25%76/#"%2'/4%&#'$%9'6/2+' :">":-2:1'./2'4-':"1#7"4&#-:<' Earnings per share (EPS) = 𝑁𝑒𝑡 𝑖𝑛𝑐𝑜𝑚𝑒 𝑂𝑢𝑡𝑠𝑡𝑎𝑛𝑑𝑖𝑛𝑔 𝑠ℎ𝑎𝑟𝑒𝑠' J"0&#-:'MQE*'%#$-7'1$/7-1'K1#%.8'%,#"%21'%7'.%2>-7#"40-'4%2:1L'/7-'-N,-.#-:'#%'4-'"11&-:'1%%23'1%'#$-'-/72"2?1'/7-'6%7-':"0&#-:<' Diluted EPS = 𝑁𝑒𝑡 𝑖𝑛𝑐𝑜𝑚𝑒 𝑂𝑢𝑡𝑠𝑡𝑎𝑛𝑑𝑖𝑛𝑔 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@$/2?-1'"2'G%77%9"2?1' -%+%*/*#%('!(-%'$7)',3*1=-(*>"&%.( )#'6-/1&7-1'.$/2?-1'"2'-D&"#+'.%6,%1"#"%2<' @$/2?-'"2'1#%.8$%0:-7;1'-D&"#+'k'U-#/"2-:'-/72"2?1'\'P-#'1/0-1'%5'1#%.8' J%;835%H"%8-5354<"f"(b"c"/3F3H%5H<" (%;"<8@%<",2"<;,6:"f"*8@%<",2"<;,6:"c"J%>=-678<%",2"<;,6:"$G=M"<78-%<"2-,9"<78-%7,@H%-<?" _F=MU'()PHP@)HA'EFHFMOMPF')P(_UOHF)_P' C O/2/?-6-2#':"1.&11"%2'/2:'/2/0+1"1*'_GE'#7/21/.#"%21' C P%#-1'#%'#$-'("2/2."/0'E#/#-6-2#' ( ( ( N\" !&#+#$&+,(-%+%*/*#%(+#+,.-&-( F$"1'/2/0+1"1'"1'&1-:'#%'.%6,/7-'/'.%6,/2+'#%'"#1-05'%>-7'#"6-'%7'#%'%#$-7'1"6"0/7'.%6,/2"-1<' QU_()FHG)A)FT'UHF)_E' a7%11'6/7?"2'K6/7?"2-'0%7:%L' 𝐺𝑟𝑜𝑠𝑠 𝑀𝑎𝑟𝑔𝑖𝑛 = 𝐺𝑟𝑜𝑠𝑠 𝑃𝑟𝑜𝑓𝑖𝑡 𝑆𝑎𝑙𝑒𝑠 ' _,-7/#"2?'6/7?"2'K6/7?"2'%2'%,-7/#"2?'.%1#1L' 𝑂𝑝𝑒𝑟𝑎𝑡𝑖𝑛𝑔 𝑚𝑎𝑟𝑔𝑖𝑛 = 𝑂𝑝𝑒𝑟𝑎𝑡𝑖𝑛𝑔 𝑖𝑛𝑐𝑜𝑚𝑒 𝑆𝑎𝑙𝑒𝑠 ' MG)F'6/7?"2' 𝐸𝐵𝐼𝑇 𝑚𝑎𝑟𝑔𝑖𝑛 = 𝐸𝐵𝐼𝑇 𝑆𝑎𝑙𝑒𝑠 ' P-#'Q7%5"#'O/7?"2' 𝑁𝑒𝑡 𝑝𝑟𝑜𝑓𝑖𝑡 𝑚𝑎𝑟𝑔𝑖𝑛 = 𝑁𝑒𝑡 𝑖𝑛𝑐𝑜𝑚𝑒 𝑇𝑜𝑡𝑎𝑙 𝑆𝑎𝑙𝑒𝑠 ' A)RS)J)FT'UHF)_E' @&77-2#'7/#"%' 𝐶𝑢𝑟𝑟𝑒𝑛𝑡 𝑟𝑎𝑡𝑖𝑜 = 𝐶𝑢𝑟𝑟𝑒𝑛𝑡 𝐴𝑠𝑠𝑒𝑡𝑠 𝐶𝑢𝑟𝑟𝑒𝑛𝑡 𝐿𝑖𝑎𝑏𝑖𝑙𝑖𝑡𝑖𝑒𝑠' R&".8'7/#"%' 𝑄𝑢𝑖𝑐𝑘 𝑟𝑎𝑡𝑖𝑜 = 𝐶𝑎𝑠ℎ + 𝑠ℎ𝑜𝑟𝑡_𝑡𝑒𝑟𝑚 𝑖𝑛𝑣𝑒𝑠𝑡𝑚𝑒𝑛𝑡𝑠 + 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;78;"32";7%">-,V%6;"Y%-%"H%@8M%H";,"#RRWS";7%"6,<;"Y,=@H"-3<%"GM"!RhE"b2";7%"35;%-%<;"-8;%"Y%-%"#hS"Y78;"Y,=@H"G%";7%"6,<;",2"8"H%@8M"35";%-9<",2"H,@@8-<" 35"#RROg" C,<;"35"#RRW'"oNSN"G3@@3,5" PV ($3,3 billion) = $3,3 𝑏𝑖𝑙𝑙𝑖𝑜𝑛 1,02 = $3,235 𝑏𝑖𝑙𝑙𝑖𝑜𝑛" C,<;",2"H%@8M'"oNS#NW"G3@@3,5"L"oN"G3@@3,5"f"#NW"93@@3,5" B78;"3<S"H%@8M354";7%">-,V%6;"2,-",5%"M%8-"Y8<"%T=3F8@%5;";,"43F354"=>"o#NW"93@@3,5"35"68<7E" #0:(3*$&-&'#(1",*( F$-'P-#'Q7-1-2#'b/0&-'KPQbL'%5'/',7%f-.#'%7'"2>-1#6-2#'"1'#$-':"55-7-2.-'4-#9--2'#$-',7-1-2#'>/0&-'%5'"#1'4-2-5"#1'/2:'#$-',7-1-2#' >/0&-'%5'"#1'.%1#1<' PQb'k'QbKG-2-5"#1L'l'QbK@%1#1L' !$-2'6/8"2?'/2'"2>-1#6-2#':-."1"%23'#/8-'#$-'/0#-72/#">-'9"#$'#$-'$"?$-1#'PQb<'@$%%1"2?'#$"1'/0#-72/#">-'"1'-D&">/0-2#'#%'7-.-">"2?' "#1'PQb'"2'./1$'#%:/+<' g H..-,#'#$%1-',7%f-.#1'9"#$',%1"#">-'PQb'4-./&1-'/..-,#"2?'#$-6'"1'-D&">/0-2#'#%'7-.-">"2?'#$-"7'PQb'"2'./1$'#%:/+<' g U-f-.#'#$%1-',7%f-.#1'9"#$'2-?/#">-'PQb'4-./&1-'/..-,#"2?'#$-6'9%&0:'7-:&.-'#$-'9-/0#$'%5'"2>-1#%71<' +&89>@%"" ."23-9"5%%H<";,"G=M"8"5%Y"o^WRR"6,>3%-E"B7%"985=286;=-%-"78<",22%-%H";,"@%;";7%"23-9">8M"o!RERRR"35",5%"M%8-S"-8;7%-";785">8M"68<7";,H8ME"*=>>,<%" ;7%"-3<:L2-%%"35;%-%<;"-8;%"3<"\h">%-"M%8-E"b<";73<",22%-"8"4,,H"H%8@g"*7,Y";78;"3;<"(`P"-%>-%<%5;<"68<7"35"M,=-">,6:%;E" 𝑃𝑉 ($10.000) = $10.000 1,07 = $ 9345,79" (`P"f"^WRR"c"^NOWS\^"f"o!WOS"#!" z"(`P"{"R'";7%"35F%<;9%5;"3<"8"4,,H"H%8@E" O#" F$-'PQb'"1'/'6-/1&7-'%5'#$-'6/78-#'>/0&-'%5'/2'"2>-1#6-2#<')#;1' "6,%7#/2#'#%'&2:-71#/2:'#$-'7-0/#"%21$",'4-#9--2'PQb'/2:'#$-' .%6,/2+'>/0&-^'"2'5/.#3'/2'"2>-1#6-2#':-."1"%2'9"#$'/',%1"#">-'PQb'"2.7-/1-1'#$-'.%6,/2+'>/0&-<' @=__E)Pa'HO_Pa'HAFMUPHF)bME' !-'./2'/01%'&1-'#$-'PQb':-."1"%2'7&0-'#%'.$%%1-'/6%2?',7%f-.#1*'9-'2--:'#%'.%6,&#-'#$-'PQb'%5'-/.$'/0#-72/#">-'/2:'#$-2'1-0-.#' #$-'%2-'9"#$'#$-'$"?$-1#'PQb<'F$"1'/0#-72/#">-'"1'#$-'%2-'9$".$'9"00'0-/:'#%'#$-'0/7?-1#'"2.7-/1-'"2'#$-'>/0&-'%5'#$-'5"76<' +&89>@%"!" *=>>,<%"M,="<;8-;%H"8"l%G"<3;%"7,<;354"G=<35%<<"85H";7%5"H%63H%H";,"-%;=-5";,"<67,,@E"(,Y";78;"M,="8-%"G86:"35"<67,,@S"M,="8-%"6,5<3H%-354"<%@@354" ;7%"G=<35%<<"Y3;735";7%"5%&;"M%8-E".5"35F%<;,-"78<",22%-%H";,"G=M";7%"G=<35%<<"2,-"o#RRERRR"Y7%5%F%-"M,="8-%"-%8HME"b2";7%"35;%-%<;"-8;%"3<"!RhS"Y7367" ,2";7%"2,@@,Y354";7-%%"8@;%-58;3F%<"3<";7%"G%<;"67,36%g" !E *%@@";7%"G=<35%<<"5,YE" #E *68@%"G86:";7%"G=<35%<<"85H"6,5;35=%"-=55354"3;"Y73@%"M,="8-%"35"<67,,@"2,-",5%"9,-%"M%8-S"85H";7%5"<%@@";7%"G=<35%<<"$-%T=3-354"M,=";," <>%5H"oNRERRR",5"%&>%5<%<"5,YS"G=;"4%5%-8;354"oWRERRR"35">-,23;"8;";7%"%5H",2";7%"M%8-?E" NE X3-%"<,9%,5%";,"98584%";7%"G=<35%<<"Y73@%"M,="8-%"35"<67,,@"2,-",5%"9,-%"M%8-S"85H";7%5"<%@@";7%"G=<35%<<"$-%T=3-354"M,=";,"<>%5H"oWRSRRR" ,5"%&>%5<%<"5,YS"G=;"4%5%-8;354"o!RRERRR"35">-,23;"8;";7%"%5H",2";7%"M%8-?E'" " B7%"G%<;"67,36%"3<";7%",5%"Y3;7"7347%<;"(`P'"73-%"8"98584%-"85H"<%@@"35",5%"M%8-S"G%68=<%"67,,<354";73<"8@;%-58;3F%"3<"%T=3F8@%5;";,"-%6%3F354"o###E\#\" ;,H8ME'' +&89>@%"#" ),="78F%"o!RERRR";,"35F%<;"85H"8-%"6,5<3H%-354";7-%%",5%LM%8-"-3<:L2-%%"35F%<;9%5;",>;3,5<'" !E b5F%<;"=>";,"o!RERRR"35"8"BLQ3@@">8M354"#hE" #E b5F%<;"35"8">-,V%6;";78;"6,<;"oZRRR"85H"-%;=-5<"oZ!RR"35",5%"M%8-E" NE b5F%<;"35"8">-,V%6;";78;"6,<;<"oORRR"85H"-%;=-5<"oO!RR"35",5%"M%8-E" *356%"8@@",2"35F%<;9%5;",>;3,5<"8-%"2,-",5%"M%8-"85H"-3<:L2-%%S";7%"8>>-,>-38;%"H3<6,=5;"-8;%"3<"#hE"B7%"`P",2"%867"35F%<;9%5;"8;"#h"3<'" ' s3F%5";78;";7%"#'("35F%<;9%5;"78<"8"5%48;3F%"(`PS"3;"<7,=@H"5,;"G%"6,5<3H%-%HE"X,Y%F%-S",5@M"35F%<;354"35"|N"=<%<"V=<;"oOSRRR",2";7%"8F83@8G@%"2=5H<" ;,"35F%<;S"M3%@H354"8";,;8@"(`P",2" 4100 + 6000 1,02 − 10.000 = −98,04" B7%",>;398@"<;-8;%4M"3<";,"35F%<;"oORRR"35"N)("85H"oZRRR"35";7%"BLQ3@@E"B7%"(`P",2";73<"<;-8;%4M"3<" 4100 + 6000(1,02) 1,02 − 10.000 = 19,61" +F%5";7,=47";7%"(`P",2";7%"BLQ3@@"35F%<;9%5;"3<"oRS"3;"3<"8"G%;;%-"35F%<;9%5;";785"5,;"35F%<;354";7,<%"2=5H<"8;"8@@E"B7=<S";7%";,;8@"(`P",2"35F%<;354" oORRR"35"`-,V%6;"#"85H"oZRRR"35"BLQ3@@<"M3%@H<"85"(`P",2"o!^SZ!"$(`P",2"`-,V%6;"#?">@=<"85"(`P",2"oR"$(`P",2"BLQ3@@?S"M3%@H354"8";,;8@"(`P",2"o!^SZ!E" ' PQb'HPJ'@HE='PMMJE' U-?/7:0-11'%5'%&7',7-5-7-2.-1'5%7'./1$'#%:/+'>-71&1'./1$'"2'#$-'5&#&7-3'9-'1$%&0:'/09/+1'6/N"6"W-'PQb'5"71#<'!-'./2'#$-2'4%77%9' %7'0-2:'#%'1$"5#'./1$'50%91'#$7%&?$'#"6-'/2:'5"2:'%&7'6%1#',7-5-77-:',/##-72'%5'./1$'50%91<' ( ( ( OW" +&89>@%" X,@G-,,:"X,@H354<"3<"8">=G@36@M";-8H%H"6,9>85M"Y3;7",5@M";Y,"8<<%;<'"3;",Y5<"ZRh",2"X8--MK<"X,;68:%<"-%<;8=-85;"67835"85H"85"36%"7,6:%M";%89E" 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l78;"3<";7%"98-:%;"F8@=%",2";7%"A&2,-H"Q%8-<g" l%"685";735:",2"_,,5"8<"8">,-;2,@3,"6,5<3<;354",2";7%"2,@@,Y354'" L WRh"<;8:%"35"/=%"Q%F%-84%" z" WRh"v"o\W"93@@3,5"f"oN\SW"93@@3,5" L \Rh"<;8:%"35"_,=5;835"b5H=<;-3%<" " z" \Rh"v"o!RR"93@@3,5"f"o\R"93@@3,5" L !RRh"<;8:%"35"A&2,-H"Q%8-<" D5H%-";7%"P8@=%".HH%H"_%;7,HS";7%"<=9",2";7%"F8@=%",2";7%"<;8:%<"35"8@@";7-%%"35F%<;9%5;<"9=<;"%T=8@";7%"o#RR"93@@3,5"98-:%;"F8@=%",2"_,,5E"B7%" A&2,-H"Q%8-<"9=<;"G%"Y,-;7'" o#RR"93@@3,5"t"oN\SW"93@@3,5"t"o\R"93@@3,5"f"o^#SW"93@@3,5" ' bHASM'HJJ)F)b)FT'x'()UO'bHASM' F%'6/N"6"W-'#$-'>/0&-'%5'#$-'-2#"7-'5"763'6/2/?-71'1$%&0:'6/8-':-."1"%21'#$/#'6/N"6"W-'PQb<'F$-'PQb'%5'#$-':-."1"%2'7-,7-1-2#1' "#1'.%2#7"4&#"%2'#%'#$-'%>-7/00'>/0&-'%5'#$-'5"76<' )OQH@F'_('U)EV'_P'bHASHF)_P' !-'./2'2%9'.%21":-7'7"18+'"2>-1#6-2#13'9$".$'6-/21'#$-+'/7-'2%#'.-7#/"2<' !$-2'./1$'50%91'/7-'7"18+3'9-'6&1#':"1.%&2#'#$-6'/#'/'7/#-'-D&/0'#%'#$-'7"18C57--'"2#-7-1#'7/#-',0&1'/2'/,,7%,7"/#-'7"18',7-6"&6' K-N,-.#-:'7-#&72':&-'#%'&2.-7#/"2#+L<'F$-'/,,7%,7"/#-'7"18',7-6"&6'9"00'4-'$"?$-7'#$-'6%7-'#$-',7%f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𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑 𝑟𝑒𝑡𝑢𝑟𝑛 𝑜𝑓 𝑎 𝑟𝑖𝑠𝑘𝑦 𝑖𝑛𝑣𝑒𝑠𝑡𝑚𝑒𝑛𝑡 = 𝑒𝑥𝑝𝑒𝑐𝑡𝑒𝑑 𝑔𝑎𝑖𝑛 𝑎𝑡 𝑡ℎ𝑒 𝑒𝑛𝑑 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 𝑐𝑜𝑠𝑡 ' +&89>@%"c"C8<7"2@,Y<"85H"98-:%;">-36%<"$35"o?",2"8"-3<:L2-%%"G,5H"85H"85"35F%<;9%5;"35";7%"98-:%;">,-;2,@3," " .<<=9%";7%-%"3<"85"%T=8@">-,G8G3@3;M",2"%3;7%-"8"Y%8:"%6,5,9M",-"<;-,54"%6,5,9M"$WRh?"85H";78;";7%"H3<6,=5;"-8;%"3<"OhE" 𝑃𝑟𝑖𝑐𝑒 (𝑟𝑖𝑠𝑘 − 𝑓𝑟𝑒𝑒 𝑏𝑜𝑛𝑑) = 𝑃𝑉 (𝐶𝐹𝑠) → 1100 1,04 = 1058" 𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑 𝐶𝐹 (𝑚𝑘𝑡 𝑖𝑛𝑑𝑒𝑥) → 800 𝑥 50% + 1400 𝑥 50% = 1100" OZ" (,;%";78;";7%"%&>%6;%H"CI",2";7%"98-:%;"35H%&"3<"%T=8@";,";7%"%&>%6;%H"-%;=-5",2";7%"-3<:L2-%%"G,5HE"X,Y%F%-S";7%"98-:%;"35H%&K<"-%;=-5"H%>%5H<",5" ;7%"%6,5,936"6,5H3;3,5<S"<,"Y%"78F%"#"H322%-%5;"-%;=-5<S"G=;";7%"Y%347;%H"8F%-84%"3<"!!RRE" .@;7,=47"G,;7"35F%<;9%5;<"78F%";7%"<89%"%&>%6;%H"F8@=%S";7%"98-:%;"35H%&"78<"8"@,Y%-"98-:%;">-36%"<356%"3;"78<"8"4-%8;%-"89,=5;",2"-3<:E" 𝑅𝑒𝑡𝑢𝑟𝑛 (𝑠𝑡𝑟𝑜𝑛𝑔 𝑒𝑐𝑜𝑛𝑜𝑚𝑦) = 1400 − 1000 1000 = 40%" 𝑅𝑒𝑡𝑢𝑟𝑛 (𝑤𝑒𝑎𝑘 𝑒𝑐𝑜𝑛𝑜𝑚𝑦) = 800 − 1000 1000 = −20%" 𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑 𝑚𝑘𝑡 𝑟𝑒𝑡𝑢𝑟𝑛 = 50% 𝑥 40% + 50% 𝑥 (−20%) = 10%" .@;%-58;3F%"Y8M";,"68@6=@8;%";7%"%&>%6;%H"98-:%;"-%;=-5'" 1000 = 1100 1 + 𝑖 → 𝑖 = 1100 1000 − 1 = 10%" ' +&%-63<%"c"/%;%-935%";7%"98-:%;">-36%",2"8"<%6=-3;M" " b2"Y%"6,9G35%"<%6=-3;M"."Y3;7"8"-3<:L2-%%"G,5H";78;">8M<"o]RR"35",5%"M%8-S";7%"68<7"2@,Y<",2";7%">,-;2,@3,"35",5%"M%8-"8-%"3H%5;368@";,";7%"68<7"2@,Y<",2" ;7%"98-:%;"35H%&E"QM";7%"a8Y",2"A5%"`-36%S";7%";,;8@"98-:%;"F8@=%",2";7%"G,5H"85H"<%6=-3;M"."9=<;"%T=8@"o!RRR"$F8@=%",2";7%"98-:%;"35H%&?E" s3F%5"8"-3<:L2-%%"35;%-%<;"-8;%",2"OhS";7%"98-:%;">-36%",2";7%"G,5H"3<'" 800 1,04 = $769" B7%-%2,-%S";7%"353;38@"98-:%;">-36%",2"<%6=-3;M"."3<"" o!RRR"t"o\Z^"f"o#N!" F$-'7"18'%5'/'1-.&7"#+'6&1#'4-'->/0&/#-:'"2'7-0/#"%2'#%'#$-'50&.#&/#"%21'%5'%#$-7'"2>-1#6-2#1'"2'#$-'-.%2%6+<')5'#$-'1-.&7"#+;1'7-#&721' >/7+'"2'#$-'%,,%1"#-':"7-.#"%2'%5'#$-'6/78-#'"2:-N3'"#'%55-71'"21&7/2.-'/2:'9"00'$/>-'/'2-?/#">-'7"18',7-6"&6<' +&%-63<%"L"J3<:"85H"-3<:">-%93=9<"2,-"H322%-%5;"<%6=-3;3%<"" " (%48;3F%"-3<:">-%93=9" *=>>,<%"<%6=-3;M"Q">8M<"oZRR"32";7%"%6,5,9M"3<"Y%8:"85H"oR"32";7%"%6,5,9M"3<"<;-,54E"l78;"8-%"3;<"5,L8-G3;-84%">-36%S"%&>%6;%H"-%;=-5S"85H"-3<:" >-%93=9g" b2"Y%"6,9G35%";7%"98-:%;"35H%&"85H"<%6=-3;M"Q";,4%;7%-"35"8">,-;2,@3,S"Y%"%8-5";7%"<89%">8M,22"8<"8"-3<:L2-%%"G,5H";78;">8M<"o!ORREE" " B7%"98-:%;">-36%",2";7%"-3<:L2-%%"G,5H"3<"" 1400 1,04 = $1346" *,S"Y%"685"6,56@=H%"2-,9";7%"@8Y",2",5%">-36%";78;"<%6=-3;M"Q"9=<;"78F%"8"98-:%;">-36%",2"" o"!NOZ"t"!RRR"f"oNOZ" b2";7%"%6,5,9M"3<"Y%8:S"<%6=-3;M"Q">8M<"8"-%;=-5",2" 600 − 346 346 = 73,4%" O\" b2";7%"%6,5,9M"3<"<;-,54S"<%6=-3;M"Q">8M<"5,;7354S"2,-"8"-%;=-5",2"t!RRhE"" B7%"%&>%6;%H"-%;=-5",2"<%6=-3;M"Q"3<" WRh"&"\NSOh"k"WRh"&"$L"!RRh?"f"L"!NSNh" b;<"-3<:">-%93=9"3<" L"!NSNh"L"Oh"f"L"!\SNh" B73<"9%85<";78;"<%6=-3;M"Q">8M<"35F%<;,-<"!\ENh"@%<<",5"8F%-84%";785";7%"-3<:L2-%%"35;%-%<;"-8;%E" ' !$-2'./1$'50%91'/7-'7"18+3'9-'./2'&1-'#$-'A/9'%5'_2-'Q7".-'#%'.%6,&#-',7-1-2#'>/0&-1'4+'.%21#7&.#"2?'/',%7#5%0"%'#$/#',7%:&.-1' ./1$'50%91'9"#$'":-2#"./0'7"18<' +&%-63<%"L"D<354";7%"-3<:">-%93=9";,"6,9>=;%"8">-36%" C,5<3H%-"8"-3<:M"G,5H"Y3;7"8"68<7"2@,Y",2"o!!RR"Y7%5";7%"%6,5,9M"3<"<;-,54"85H"o!RRR"Y7%5";7%"%6,5,9M"3<"Y%8:E"*=>>,<%"8"!h"-3<:">-%93=9"2,-" ;73<"G,5HE"b2";7%"-3<:L2-%%"35;%-%<;"-8;%"3<"OhS"Y78;"3<";7%">-36%",2";7%"G,5H";,H8Mg" 𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡 𝑟𝑎𝑡𝑒 = 4% + 1% = 5%" B7%"%&>%6;%H"CI",2";7%"G,5H"35",5%"M%8-"3<" 50% 𝑥 1100 + 50% 𝑥 1000 = $1050" *,S";7%">-36%",2";7%"G,5H";,H8M"3<" 1050 1,05 = $𝟏𝟎𝟎𝟎" s3F%5";73<">-36%S";7%"G,5HK<"-%;=-5"3<"!Rh"Y7%5";7%"%6,5,9M"3<"<;-,54S"85H"Rh"Y7%5";7%"%6,5,9M"3<"Y%8:E"$(,;%";78;";7%"H322%-%56%"35";7%"-%;=-5<"3<" !RhS"Y7367"3<"![Z"8<"F8-38G@%"8<";7%"98-:%;"35H%&1"6,--%<>,5H354@MS";7%"-3<:">-%93=9",2";7%"G,5H"3<"![Z";78;",2";7%"98-:%;"35H%&"8<"Y%@@?E" +&%-63<%"#" C,5<3H%-"8"-3<:M"<;,6:"Y3;7"8"68<7"2@,Y",2"o!WRR"Y7%5";7%"%6,5,9M"3<"<;-,54"85H"o]RR"Y7%5";7%"%6,5,9M"3<"Y%8:E"+867"<;8;%",2";7%"%6,5,9M"78<" 85"%T=8@">-,G8G3@3;M",2",66=--354E"*=>>,<%"85"]h"-3<:">-%93=9E"b2";7%"-3<:L2-%%"35;%-%<;"-8;%"3<"#hS"Y78;"3<";7%">-36%",2";7%"<;,6:";,H8Mg" 𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡 𝑟𝑎𝑡𝑒 = 2% + 8% = 10%" B7%"%&>%6;%H"CI",2";7%"G,5H"35",5%"M%8-"3<" 50% 𝑥 1500 + 50% 𝑥 800 = $1150" *,S";7%">-36%",2";7%"G,5H";,H8M"3<" 1150 1,1 = $𝟏𝟎𝟒𝟓, 𝟒𝟓" HUG)FUHaM'!)F='FUHPEH@F)_P'@_EFE' !$/#'.%21-D&-2.-':%'#7/21/.#"%2'.%1#1'$/>-'5%7'2%C/74"#7/?-',7".-1'/2:'#$-'A/9'%5'_2-'Q7".-B' !$-2'#$-7-'/7-'#7/21/.#"%21'.%1#1'K-N<'.%66"11"%213'#7/21,%7#/#"%23IL3'/74"#7/?-'8--,1',7".-1'%5'-D&">/0-2#'?%%:1'/2:'1-.&7"#"-1' .0%1-'#%'-/.$'%#$-7<'Q7".-1'./2':->"/#-3'4&#'2%#'4+'6%7-'#$/2'#$-'#7/21/.#"%21'.%1#'%5'#$-'/74"#7/?-<' +&89>@%"!" C,5<3H%-"8"G,5H";78;">8M<"o!RRR"8;";7%"%5H",2";7%"M%8-E"*=>>,<%";7%"98-:%;"35;%-%<;"-8;%"2,-"H%>,<3;<"3<"ZhS"G=;";7%"98-:%;"35;%-%<;"-8;%"2,-"G,--,Y354" 3<"ZSWhE"l78;"3<";7%"5,L8-G3;-84%">-36%"-854%"2,-";7%"G,5Hg"B78;"3<S"Y78;"3<";7%"7347%<;"85H"@,Y%<;">-36%";7%"G,5H"6,=@H";-8H%"2,-"Y3;7,=;"6-%8;354"85" 8-G3;-84%",>>,-;=53;Mg" B7%"5,L8-G3;-84%">-36%"2,-";7%"G,5H"%T=8@<";7%">-%<%5;"F8@=%",2";7%"68<7"2@,Y<E"b5";73<"68<%S"7,Y%F%-S";7%"35;%-%<;"-8;%"Y%"<7,=@H"=<%"H%>%5H<",5" Y7%;7%-"Y%"8-%"G,--,Y354",-"@%5H354E"" 𝐿𝑒𝑛𝑑𝑖𝑛𝑔: 1000 1,06 = $943,40" 𝐵𝑜𝑟𝑟𝑜𝑤𝑖𝑛𝑔: 1000 1,065 = $938,97" *=>>,<%";7%"G,5H">-36%"`"%&6%%H%H"o^ONSORE"B7%5"M,="6,=@H">-,23;"GM"<%@@354";7%"G,5H"8;"3;<"6=--%5;">-36%"85H"35F%<;354"o^ONSOR",2";7%">-,6%%H<"8;" ;7%"Zh"35;%-%<;"-8;%E"),="Y,=@H"<;3@@"-%6%3F%"o!RRR"8;";7%"%5H",2";7%"M%8-S"G=;"M,="Y,=@H"4%;";,":%%>";7%"H322%-%56%"o$`"c"^ONSOR?";,H8ME"B73<"8-G3;-84%" ,>>,-;=53;M"Y3@@":%%>";7%">-36%",2";7%"G,5H"2-,9"4,354"7347%-";785"o^ONSORE" .@;%-58;3F%@MS"<=>>,<%";7%"G,5H">-36%"`"Y%-%"@%<<";785"o^N]S^\E"B7%5"M,="6,=@H"G,--,Y"o^N]S^\"8;"ZSWh"85H"=<%"`",2"3;";,"G=M";7%"G,5HE"B73<"Y,=@H" @%8F%"M,="Y3;7"o$^N]S^\"t"`?E" " WR" &#%*1#+,(1+%*('!(1*%"1#(;&11<( H..%7:"2?'#%'#$"1'7&0-3'9-'1$%&0:*' g F/8-'/2+'"2>-1#6-2#'9$-7-'#$-')UU'-N.--:1'#$-'.%1#'%5'./,"#/0<' g F&72':%92'/2+'"2>-1#6-2#'9$%1-')UU'"1'0-11'#$/2'#$-'.%1#'%5'./,"#/0<' F$-')UU')2>-1#6-2#'U&0-'9"00'?">-'#$-'1/6-'/219-7'/1'#$-'PQb'7&0-'"2'6/2+3'4&#'2%#'/003'1"#&/#"%21<')2'?-2-7/03'#$-')UU'7&0-'9%781' 5%7'/'1#/2:C/0%2-',7%f-.#'"5'/00'%5'#$-',7%f-.#;1'2-?/#">-'./1$'50%91',7-.-:-'"#1',%1"#">-'./1$'50%91<' )2'%#$-7'./1-13'#$-')UU'7&0-'6/+':"1/?7--'9"#$'#$-'PQb'7&0-'/2:'#$&1'4-'"2.%77-.#*':-0/+-:'"2>-1#6-2#13'2%2-N"1#-2#')UU3'6&0#",0-' )UU1<' !$"0-'#$-')UU'7&0-'$/1'1$%7#.%6"2?1'5%7'6/8"2?'"2>-1#6-2#':-."1"%213'#$-')UU'"#1-05'7-6/"21'&1-5&03'4-./&1-'"#'6-/1&7-1'#$-'/>-7/?-' 7-#&72'%5'#$-'"2>-1#6-2#'/2:'#$-'1-21"#">"#+'%5'#$-'PQb'#%'/2+'-1#"6/#"%2'-77%7'"2'#$-'.%1#'%5'./,"#/0<' JMAHTMJ')PbMEFOMPFE' +&89>@%" ."98V,-">=G@3<7%-"78<",22%-%H"M,="8"G,,:"H%8@'"3;"Y3@@">8M"M,="o!"93@@3,5"=>2-,5;"32"M,="84-%%";,"Y-3;%"8"G,,:E"),="%<;398;%";78;"3;"Y3@@";8:%";7-%%"M%8-<" ;,"Y-3;%";7%"G,,:"85H";73<"Y3@@"68=<%"M,=";,"43F%"=>"<>%8:354"%5484%9%5;<"89,=5;354";,"oWRRERRR">%-"M%8-E"),="%<;398;%"M,=-",>>,-;=53;M"6,<;";,"G%" !RhE"*7,=@H"M,="866%>;";7%"H%8@g" C8@6=@8;%"bJJ" " B7%"bJJ"3<"4-%8;%-";785";7%"6,<;",2"68>3;8@E"B7=<S";7%"bJJ"-=@%"35H368;%<"M,="<7,=@H"866%>;";7%"H%8@E" C8@6=@8;%"(`P" " *356%";7%"(`P"3<"5%48;3F%S";7%"(`P"-=@%"35H368;%<"M,="<7,=@H"-%V%6;";7%"H%8@E" ' ' H1'9-'./2'1--'57%6'#$-',7->"%&1'-N/6,0-3'#$"1'$/,,-21'9$-2'4-2-5"#1',7-.--:'.%1#1'K9-'$/>-'/'5&#&7-'"2>-1#6-2#L<')2'#$"1'./1-'#$-' )UU'7&0-':%-12;#'9%78'/2:'#$-'?7/,$'PQb'5&2.#"%2'"1'/2'"2.7-/1"2?'5&2.#"%2'%5'#$-':"1.%&2#'7/#-<' OSAF)QAM')UU1' +&89>@%" *=>>,<%";7%">=G@3<7%-"$>-%F3,=<"%&89>@%?",22%-<"oWWRERRR"8HF856%"85H"o!"93@@3,5"35"2,=-"M%8-<S"Y7%5";7%"G,,:"3<">=G@3<7%HE" *7,=@H"7%"866%>;",-"-%V%6;";7%"5%Y",22%-g" B7%"68<7"2@,Y<"Y,=@H"5,Y"@,,:"@3:%" C8@6=@8;%"(`P" " QM"<%;;354";7%"(`P"%T=8@";,"U%-,"85H"<,@F354"2,-"-S"Y%"235H";7%"bJJE"b5";73<"68<%S";7%-%"8-%";Y,"bJJ<'"\S!ZOh"85H"NNSZ\NhE"Q%68=<%";7%-%"3<"9,-%" ;785",5%"bJJS";7%"bJJ"-=@%"6855,;"G%"8>>@3%HE" W!" Q%;Y%%5"\S!ZOh"85H"NNSZ\NhS";7%"G,,:"H%8@"78<"8"5%48;3F%"(`PE"*356%";7%",>>,-;=53;M"6,<;",2"68>3;8@"3<"!RhS"M,="<7,=@H"-%V%6;";7%"H%8@E" ' !$-2'9-'$/>-'X',%11"40-')UU13'#$"1'7&0-'./2;#'4-'/,,0"-:<'F$-'1$/,-'%5'#$-'5&2.#"%2'"1'.%2".<' P_PM`)EFHPF')UU' E&,,%1-'#$/#'#$-',&40"1$-7'"2.7-/1-1'#$-'/:>/2.-'#%'sq[Y<YYY3'"2'/::"#"%2'#%'#$-'s]'6"00"%2'9$-2'#$-'4%%8'"1',&40"1$-:'"2'5%&7'+-/71<' !"#$'#$-1-'./1$'50%913'2%')UU'-N"1#1'4-./&1-'#$-'PQb'"1',%1"#">-'5%7'/00'>/0&-1'%5'#$-':"1.%&2#'7/#-<'F$&1'#$-')UU'7&0-'./22%#'4-' &1-:3'1"2.-'#$-7-'"1'2%':"1.%&2#'7/#-'#$/#'6/8-1'PQb'-D&/0'#%'W-7%<' 0+.6+$7(1",*( F$-',/+4/.8',-7"%:'"1'#$-'/6%&2#'%5'#"6-'#$/#'"#'#/8-1'#%'7-.%>-7'%7',/+'4/.8'#$-'"2"#"/0'"2>-1#6-2#<')5'#$-',/+4/.8',-7"%:'"1'0-11'#$/2' /',7-C1,-."5"-:'0-2?#$'%5'#"6-3'+%&'/..-,#'#$-',7%f-.#<'_#$-79"1-3'+%&'7-f-.#'#$-',7%f-.#<'' !-'./2'/01%'/,,0+'#$"1'7&0-'#%'.$%%1-'/6%2?',7%f-.#1*'"2'#$"1'./1-3'9-'.$%%1-'#$-'%2-'9"#$'#$-'1$%7#-1#',/+4/.8',-7"%:<' F$-',/+4/.8'7&0-'"1'&1-:'4+'6/2+'.%6,/2"-1'4-./&1-'%5'"#1'1"6,0"."#+<"' 𝑃𝑎𝑦𝑏𝑎𝑐𝑘 𝑝𝑒𝑟𝑖𝑜𝑑 = 𝐶𝑜𝑠𝑡 𝐶𝑎𝑠ℎ 𝑓𝑙𝑜𝑤' +&89>@%" `-,V%6;<".S"QS"85H"C"%867"78F%"85"%&>%6;%H"@32%",2"23F%"M%8-<E"s3F%5";7%"353;38@"6,<;"85H"855=8@"68<7"2@,Y"352,-98;3,5"G%@,YS"Y78;"3<";7%">8MG86:" >%-3,H"2,-"%867">-,V%6;g" " 𝑃𝑎𝑦𝑏𝑎𝑐𝑘 𝐴 = 80 25 = 𝟑, 𝟐 𝒚𝒆𝒂𝒓𝒔" 𝑃𝑎𝑦𝑏𝑎𝑐𝑘 𝐵 = 120 30 = 𝟒 𝒚𝒆𝒂𝒓𝒔" 𝑃𝑎𝑦𝑏𝑎𝑐𝑘 𝐶 = 150 35 = 𝟒, 𝟐𝟗 𝒚𝒆𝒂𝒓𝒔" ' Q)F(HAAE' g )?2%7-1'#$-',7%f-.#;1'.%1#'%5'./,"#/0'/2:'#"6-'>/0&-'%5'6%2-+<'' g )?2%7-1'./1$'50%91'/5#-7'#$-',/+4/.8',-7"%:*'"#':%-12;#'.%21":-7'#$-'4-2-5"#1'#$/#'9-'$/>-'/5#-7'#$-',/+6-2#',-7"%:1<' g U-0"-1'%2'/2'/:'$%.':-."1"%2'.7"#-7"%2<' ' ' W#" $)''-&#2(+/'#2(01'A*$%-( /"%"+,,.(*B$,"-&:*(01'A*$%-( !$-2'+%&'6&1#'.$%%1-'%20+'%2-',7%f-.#'/6%2?'1->-7/0',%11"40-',7%f-.#13'#$-'.$%".-'"1'6&#&/00+'-N.0&1">-<')2'#$"1'./1-3'9-'/09/+1' 2--:'#%'&1-'#$-'PQb'7&0-'/2:'1-0-.#'#$-',7%f-.#'9"#$'#$-'$"?$-1#'PQb<')5'9-'/,,0+'#$-')UU'7&0-'/2:'1-0-.#'#$-',7%f-.#'9"#$'#$-'$"?$-1#' )UU3'#$"1'6/+'0-/:'#%'6"1#/8-1<' +&89>@%" 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B7%"8<<%;K<"6,<;"3<"H3F3H%H"%T=8@@M",F%-"3;<"@32%E"" .55=8@"/%>-%638;3,5'" " )PFMUMEF'M`QMPEM' )2'./,"#/0'4&:?-#"2?':-."1"%213'"2#-7-1#'-N,-21-'"1'#+,"./00+'2%#'"2.0&:-:3'4-./&1-'#$-',7%f-.#'1$%&0:'4-'f&:?-:'%2'"#1'%923'2%#'%2' $%9'"#'9"00'4-'5"2/2.-:<' FH`ME' O/7?"2/0'@%7,%7/#-'F/N'U/#-*'#/N'7/#-'K𝜏&L'%2'#$-'6/7?"2/0'%7'"2.7-6-2#/0':%00/7'%5',7-C#/N'"2.%6-<'H'2-?/#">-'#/N'"1'-D&/0'#%'/'#/N' .7-:"#<' 𝑰𝒏𝒄𝒐𝒎𝒆 𝒕𝒂𝒙 = 𝐸𝐵𝐼𝑇 𝑥 𝜏&' 𝑼𝒏𝒍𝒆𝒗𝒆𝒓𝒆𝒅 𝒏𝒆𝒕 𝒊𝒏𝒄𝒐𝒎𝒆 = 𝐸𝐵𝐼𝑇 𝑥 (1 − 𝜏&) → (𝑅𝑒𝑣𝑒𝑛𝑢𝑒𝑠 − 𝑐𝑜𝑠𝑡𝑠 − 𝑑𝑒𝑝𝑟𝑒𝑐𝑖𝑎𝑡𝑖𝑜𝑛) 𝑥 (1 − 𝜏&)' 𝜏& = 𝑡𝑎𝑠𝑠𝑒 𝐸𝐵𝐼𝑇' D5@%F%-%H'"5,;"286;,-354"35";7%"39>86;",2";7%"23585638@",>%-8;3,5E" WZ" &#3&1*$%(*!!*$%-('#(&#$1*/*#%+,(*+1#&#2-(( _QQ_UFSP)FT'@_EF' F$-'>/0&-'/'7-1%&7.-'.%&0:'$/>-',7%>":-:'"2'"#1'4-1#'/0#-72/#">-'&1-<' QU_rM@F'M`FMUPHA)F)ME' )2:"7-.#'-55-.#1'%5'#$-',7%f-.#'#$/#'6/+'/55-.#'#$-',7%5"#1'%5'%#$-7'4&1"2-11'/.#">"#"-1'%5'#$-'5"763'5%7'-N/6,0-'./22"4/0"W/#"%2'"1'9$-2' 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' P-#'9%78"2?'./,"#/0'KP!@L' 𝑁𝑊𝐶 = 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑎𝑠𝑠𝑒𝑡𝑠 − 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑙𝑖𝑎𝑏𝑖𝑙𝑖𝑡𝑖𝑒𝑠 → 𝑐𝑎𝑠ℎ + 𝑖𝑛𝑣𝑒𝑛𝑡𝑜𝑟𝑦 + 𝑟𝑒𝑐𝑒𝑖𝑣𝑎𝑏𝑙𝑒𝑠 − 𝑝𝑎𝑦𝑎𝑏𝑙𝑒𝑠' g O%1#',7%f-.#1'9"00'7-D&"7-'/2'"2>-1#6-2#'"2'2-#'9%78"2?'./,"#/0<' g F7/:-'.7-:"#'"1'#$-':"55-7-2.-'4-#9--2'7-.-">/40-1'/2:',/+/40-1<' F$-'"2.7-/1-'"2'2-#'9%78"2?'./,"#/0'"1':-5"2-:'/1' ' X,9%(%;K<"(%;"l,-:354"C8>3;8@"J%T=3-%9%5;<" I,-%68<;";7%"-%T=3-%H"35F%<;9%5;"35"5%;"Y,-:354"68>3;8@"2,-"X,9%(%;"=5H%-";7%"<6%58-3,"35";7%";8G@%E" J%T=3-%H"35F%<;9%5;<"35"5%;"Y,-:354"68>3;8@"8-%"<7,Y5"G%@,Y'" b5";73<"68<%S"Y,-:354"68>3;8@"67854%<"%867"M%8-E"."@8-4%"353;38@"35F%<;9%5;"35"Y,-:354"68>3;8@"3<"-%T=3-%H"35"M%8-"!S"2,@@,Y%H"GM"8"<98@@"35F%<;9%5;"35" M%8-"#"8<"<8@%<"6,5;35=%";,"4-,YE"l,-:354"68>3;8@"3<"-%6,F%-%H"35"M%8-<"NcW"8<"<8@%<"H%6@35%<' ' ZR" C,5;35=8;3,5"F8@=%"35"M%8-"O'" " 𝑇𝑉 = 𝐹𝐶𝐹3 𝑥 (1 + 𝑔) 𝑘 − 𝑔 = 1,30 𝑚𝑖𝑙𝑙𝑖𝑜𝑛 𝑥 1,05 0,10 − 0,05 = $𝟐𝟕, 𝟑𝟎 𝒎𝒊𝒍𝒍𝒊𝒐𝒏" (,;36%";78;"=5H%-";7%"8<<=9>;3,5",2"6,5<;85;"4-,Y;7S"Y%"685"6,9>=;%";7%"6,5;35=8;3,5"F8@=%"8<"8"9=@;3>@%",2";7%">-,V%6;K<"2358@"2-%%"68<7"2@,YE" l%"685"-%<;8;%";7%"2-%%"68<7"2@,Y<",2";7%"35F%<;9%5;"8<"2,@@,Y<'" " 𝑵𝑷𝑽 = −10.500 − 5500 1,10 + 800 1,104 + 1200 1,105 + 28.600 1,103 = $𝟓𝟓𝟔𝟕" ' F/N'@/77+5%79/7:1' F/N' 0%11'./77+5%79/7:1'/2:'./77+4/.81'/00%9'.%7,%7/#"%21'#%' #/8-' 0%11-1':&7"2?' 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