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Npv Finance

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‫ﺗﻤﺮﻳﻦ ﺳﺮي اول‬ ‫ﻣﻬﻠﺖ ﺗﺤﻮﻳﻞ: ﺷﻨﺒﻪ 01 آﺑﺎن 3931‬

‫درس ﻣﺪﻳﺮﻳﺖ ﻣﺎﻟﻲ ﺑﻨﮕﺎه ﻫﺎ‬ ‫ﻋﺒﺪاﻟﺤﻤﻴﺪ ﻣﺪرس‬ ‫زﻣﺴﺘﺎن 3931‬

‫ ‬ ‫1( ﻓﺮض ﻛﻨﻴﺪ ﻛﻪ ﺷﻤﺎ در ﺣﺎل ﺑﺮرﺳﻲ ﭘﺮوژه اي ﺑﺮاي ﺳﺮﻣﺎﻳﻪ ﮔﺬاري ﻫﺴﺘﻴﺪ. اﻳﻦ ﭘﺮوژه در ﺳﺎل آﺗﻲ ﺑﺎزدﻫﻲ 00002 $ اراﺋﻪ‬ ‫ﺧﻮاﻫﺪ ﻧﻤﻮد و اﻳﻦ ﺑﺎزدﻫﻲ ﺑﺮاي ﺳﺎﻟﻬﺎي ﺑﻌﺪ ﺑﺎ ﻧﺮخ 5% ﺑﻪ ﻣﺪت ﻧﺎﻣﺤﺪود اﻓﺮاﻳﺶ ﻣﻲ ﻳﺎﺑﺪ.‬ ‫اﻟﻒ( اﮔﺮ ﻧﺮخ ﺑﺎزﮔﺸﺖ ﻣﻮرد اﻧﺘﻈﺎر ﺷﻤﺎ 81 % ﺑﺎﺷﺪ، ارزش ﻓﻌﻠﻲ اﻳﻦ ﺳﺮﻣﺎﻳﻪ ﮔﺬاري ﺑﺮاي ﺷﻤﺎ ﭼﻘﺪر اﺳﺖ؟‬ ‫ب( ﻓﺮض ﻛﻨﻴﺪ، ﺷﻤﺎ ﻣﻲ داﻧﻴﺪ ﻛﻪ ﺑﺎزدﻫﻲ اﻳﻦ ﭘﺮوژه در ﺳﺎل ﻫﺎي آﺗﻲ داراي رﺷﺪ ﺛﺎﺑﺘﻲ اﺳﺖ اﻣﺎ ﻧﺮخ رﺷﺪ ﺑﺮاي ﺷﻤﺎ ﻣﻌﻠﻮم‬ ‫ﻧﻴﺴﺖ. اﮔﺮ ارزش ﻓﻌﻠﻲ اﻳﻦ ﺳﺮﻣﺎﻳﻪ ﮔﺬاري 000002 $ ﺑﺎﺷﺪ، ﻧﺮخ رﺷﺪ ﺑﺎزدﻫﻲ ﺑﺎﻳﺪ ﺣﺪاﻗﻞ ﭼﻘﺪر ﺑﺎﺷﺪ؟ ‬

‫2( ﻓﺮض ﻛﻨﻴﺪ ﻛﻪ ﺷﻤﺎ ﻗﺼﺪ ﺧﺮﻳﺪ اﻗﺴﺎﻃﻲ اﺗﻮﻣﺒﻴﻞ ﺑﻪ ﻗﻴﻤﺖ 00002 $ را دارﻳﺪ. ﻛﺪام ﻳﻚ از دو ﻗﺮارداد زﻳﺮ را اﻧﺘﺨﺎب ﻣﻲ‬ ‫ﻛﻨﻴﺪ؟‬ ‫اﻟﻒ( ﻓﺮوﺷﻨﺪه ﻣﺎﺷﻴﻦ ﺑﻪ ﺷﻤﺎ ﭘﻴﺸﻨﻬﺎد ﻣﻲ ﻛﻨﺪ ﻛﻪ 01 % ﺑﻪ ﺷﻤﺎ ﺗﺨﻔﻴﻒ داده و ﻣﺎﺑﻘﻲ ﭘﻮل را ﺑﻪ ﺻﻮرت ﭘﺮداﺧﺖ ﻫﺎي ﻣﻨﻈﻢ ﺑﺎ‬ ‫ﻧﺮخ ﺑﻬﺮه )‪ %9 (APR‬از ﺷﻤﺎ درﻳﺎﻓﺖ ﻛﻨﺪ.‬ ‫ب( ﻓﺮوﺷﻨﺪه ﭘﻴﺸﻨﻬﺎد ﻣﻲ ﻛﻨﺪ ﻛﻪ ﻛﻞ ﻗﻴﻤﺖ اﺗﻮﻣﺒﻴﻞ را ﺑﻪ اﻗﺴﺎط و ﺑﺎ ﻧﺮخ ﺑﻬﺮه ﺳﺎﻻﻧﻪ 3% )‪ (APR‬ﺑﭙﺮدازﻳﺪ.‬ ‫ﺗﻮﺟﻪ: ﭘﺮداﺧﺘﻬﺎ ﺑﻪ ﺻﻮرت ﻣﺎﻫﺎﻧﻪ و درﻃﻲ 5 ﺳﺎل ﺻﻮرت ﻣﻲ ﮔﻴﺮد.‬

‫3( ارزش ﺳﻬﺎم ﺷﺮﻛﺘﻲ ﻛﻪ ﺗﺎ ﺑﻪ ﺣﺎل ﻫﺮ ﺳﺎﻟﻪ 1$ ﺑﻪ ﻋﻨﻮان ﺳﻮد ﺳﻬﺎم )‪ (Dividends‬ﭘﺮداﺧﺖ ﻣﻲ ﻛﺮده و اﻧﺘﻈﺎر ﻣﻲ رود ﻛﻪ‬ ‫اﻳﻦ ﺳﻮد ﺳﻬﺎم ﺑﺮاي 5 ﺳﺎل آﻳﻨﺪه ﺑﺎ ﻧﺮخ 51 % و ﺑﺮاي ﺳﺎﻟﻬﺎي ﺑﻌﺪ از آن ﺑﺎ ﻧﺮخ 5% ﺗﺎ ﺑﻴﻨﻬﺎﻳﺖ رﺷﺪ داﺷﺘﻪ ﺑﺎﺷﺪ، ﭼﻘﺪر اﺳﺖ؟‬ ‫)ﻓﺮض ﻛﻨﻴﺪ ﻛﻪ ﻫﺰﻳﻨﻪ ﻓﺮﺻﺖ ﺳﺮﻣﺎﻳﻪ 5,21 % اﺳﺖ(‬

‫4( ﻓﺮض ﻛﻨﻴﺪ ﻛﻪ ﺷﻤﺎ ﻣﺪﻳﺮﻳﺖ ﻣﺎﻟﻲ ﺻﻨﺪوق ﻳﻚ ﺷﺮﻛﺖ ﻛﻮﭼﻚ را ﺑﻪ ﻋﻬﺪه دارﻳﺪ. ﺷﺮﻛﺖ در ﺣﺎل ﺣﺎﺿﺮ 0000005 $ ﺑﻪ ﻋﻨﻮان‬ ‫ﺳﺮﻣﺎﻳﻪ در اﺧﺘﻴﺎر دارد و اﻧﺘﻈﺎر ﻣﻲ رود ﻛﻪ ﺑﺮاي 5 ﺳﺎل آﻳﻨﺪه ﺟﺮﻳﺎن ﻣﺎﻟﻲ 0000002 $ ﺑﻪ ﺻﻮرت ﺳﺎﻻﻧﻪ ﺑﻪ آن اﺿﺎﻓﻪ ﺷﺪه و‬ ‫ﭘﺲ از آن ﺑﻪ ﻣﺪت 5 ﺳﺎل ﺟﺮﻳﺎن ﻣﺎﻟﻲ ﺑﻪ ﻣﻘﺪار 0000003 $ ﺑﻪ ﻃﻮر ﺳﺎﻻﻧﻪ از ﺻﻨﺪوق ﺧﺎرج ﺷﻮد. ﻓﺮض ﻛﻨﻴﺪ ﻛﻪ ﻧﺮخ ﺑﻬﺮه‬ ‫8% ﺑﺎﺷﺪ.‬ ‫اﻟﻒ( ارزش آﺗﻲ ﺟﺮﻳﺎن ﻧﻘﺪي )‪ (FV‬ﺻﻨﺪوق در اﻧﺘﻬﺎي ﺳﺎل 01 ﭼﻘﺪراﺳﺖ؟‬

‫ ب( اﮔﺮ ﻻزم ﺑﺎﺷﺪ ﻛﻪ ﺷﻤﺎ ﺳﺎﻻﻧﻪ و ﺑﻪ ﺻﻮرت ﻧﺎ ﻣﺤﺪود)‪ (Perpetuity‬ﺑﻌﺪ از 01 ﺳﺎل اول ) ﺷﺮوع از ﺳﺎل 11 و ﺗﺎ ﺑﻴﻨﻬﺎﻳﺖ(‬ ‫از ﻣﻮﺟﻮدي ﺻﻨﺪوق ﭘﺮداﺧﺖ داﺷﺘﻪ ﺑﺎﺷﻴﺪ، ﺗﻮاﻧﺎﻳﻲ ﺷﻤﺎ ﺑﺮاي ﭘﺮداﺧﺖ، ﺳﺎﻻﻧﻪ ﭼﻘﺪر ﺧﻮاﻫﺪ ﺑﻮد؟‬

‫5( ﻓﺮض ﻛﻨﻴﺪ ﻛﻪ ﺷﻤﺎ 53 ﺳﺎل ﺳﻦ دارﻳﺪ و ﻗﺼﺪ دارﻳﺪ ﺑﺮاي دوران ﭘﺲ از ﺑﺎزﻧﺸﺴﺘﮕﻲ ﺑﺮﻧﺎﻣﻪ رﻳﺰي ﻧﻤﺎﺋﻴﺪ. ﺷﻤﺎ اﻧﺘﻈﺎر دارﻳﺪ ﻛﻪ‬ ‫در ﺳﻦ 56 ﺳﺎﻟﮕﻲ ﺑﺎزﻧﺸﺴﺘﻪ ﺷﺪه و 001 ﺳﺎل ﻋﻤﺮ ﻛﻨﻴﺪ. از ﻃﺮﻓﻲ ﻣﺎﻳﻠﻴﺪ ﭘﺲ از ﺑﺎزﻧﺸﺴﺘﮕﻲ ﺑﻪ ﺷﻬﺮ آراﻣﺘﺮي ﻧﻘﻞ ﻣﻜﺎن ﻛﻨﻴﺪ.‬ ‫ﺗﺨﻤﻴﻦ ﺷﻤﺎ از ﻫﺰﻳﻨﻪ ﺟﺎﺑﺠﺎﻳﻲ ﻣﻌﺎدل 000003 $ )در اﻧﺘﻬﺎي 56 ﺳﺎل( و ﻫﺰﻳﻨﻪ ﺳﺎﻻﻧﻪ ﺷﻤﺎ 00003 $ ﻣﻲ ﺑﺎﺷﺪ. )ﻛﻪ از اﻧﺘﻬﺎي‬ ‫ﺳﺎل 66 ﺷﺮوع ﺷﺪه و ﺗﺎ اﻧﺘﻬﺎي ﺳﺎل 001 اداﻣﻪ ﻣﻲ ﻳﺎﺑﺪ.( ﻓﺮض ﻛﻨﻴﺪ % 8=‪.r‬‬ ‫اﻟﻒ( ﺗﺎ ﻗﺒﻞ از ﺑﺎزﻧﺸﺴﺘﮕﻲ ﺑﺮاي ﭘﺮداﺧﺖ ﻫﺰﻳﻨﻪ ﻫﺎي دوران ﺑﺎزﻧﺸﺴﺘﮕﻲ ﺑﻪ ﭼﻪ ﻣﻘﺪار ﭘﺲ اﻧﺪاز ﻧﻴﺎز دارﻳﺪ؟‬ ‫ب( ﻓﺮض ﻛﻨﻴﺪ ﻛﻪ ﺷﻤﺎ اﻛﻨﻮن 00005 $ ﭘﺲ اﻧﺪاز ﻛﺮده اﻳﺪ. اﮔﺮ ﺷﻤﺎ ﺑﺘﻮاﻧﻴﺪ ﭘﻮﻟﺘﺎن را ﺳﺎﻻﻧﻪ ﺑﺎ ﻧﺮخ ﺳﺎﻻﻧﻪ 8% ﭘﺲ اﻧﺪاز‬ ‫ﻛﻨﻴﺪ، ﭘﺲ اﻧﺪاز ﺳﺎﻻﻧﻪ ﺷﻤﺎ در ﻣﺪت 03 ﺳﺎل ﺑﺎﻗﻴﻤﺎﻧﺪه ﺗﺎ ﺑﺎزﻧﺸﺴﺘﮕﻲ ﺑﺮاي ﭘﺮداﺧﺖ ﻫﺰﻳﻨﻪ ﻫﺎي دوران ﺑﺎزﻧﺸﺴﺘﮕﻲ ﭼﻘﺪر‬ ‫ﺑﺎﻳﺪ ﺑﺎﺷﺪ؟ ‬

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