 yea linc nundi adhunika Port ‌ folio siddhaantam edurkone vimarsalanu sangrahinchandi  https://en.wikipedia.org/wiki/Modern_portfolio_theory,  vatini bullett jaabitaalo unchandi 
 dani saiddhaantika praamukhyata unnappatikee , MPT  yokka vimarsakulu idi ooka aadarsa pettubadi sadhanama ani prasnistunnaaru ,  endhukante dani aardika marketla namoonaa anek vidhaaluga vaasthava prapanchaniki saripoladam ledhu .

MPT  upayoegimchae risky ,  return mariyu courilation kolatalu  [ anchana viluvalu ](https://en.wikipedia.org/wiki/Expected_value) pai aadhaarapadi untai ,  antey avi bavishyathu girinchi gananka prakatanalu  ( return ‌ l anchana viluva )  pai sameekaranaalalo spashtangaa Pali mariyu nirvachanaalalo antarleenamgaa umtumdi  (https://en.wikipedia.org/wiki/Variance)
 mariyu  (https://en.wikipedia.org/wiki/Covariance)).  ituvante caryalu tarachugaa risky mariyu return yokka nijamaina gananka lakshanaalanu sangrahinchalevu ,  ivi tarachugaa chaaala vakreekarinchina pampineelanu anusaristaayi  ( udaa . [ lag - normal distribution ](https://en.wikipedia.org/wiki/Log-normal_distribution))  mariyu ivvagalavu peragadam ,  taggimputoe paatu  (https://en.wikipedia.org/wiki/Volatility_(finance)),  raabadi perugudalanu kudaa pemchimdi .  aacharanalo ,  pettubadidaarulu tappanisariga aasti raabadi yokka chaarithraka kolatalu mariyu sameekaranaalalo yea viluvalaku astirata aadhaaramga anchanaalanu bhartee cheyale .  chaaala tarachugaa ituvante anchana viluvalu chaarithraka deetaa roopondinchabadinappudu unikilo laeni kothha paristhithulanu parigananaloki teesukovadamlo viphalamavutaayi .

 marinta prathamikangaa ,  pettubadidaarulu gta maarket deetaa nundi keelaka paaraamitulanu anchana veyadamlo chikkukunnaru endhukante  MPT  nashtaala sambhaavyata paranga pramaadaanni modal cheyadanki prayatnistundi ,  conei aa nastalu yenduku sambhavinchavachane dani girinchi aemee chepatledu .  upayoginchina pramaada kolatalu  (https://en.wikipedia.org/wiki/Probability)  prakruthilo untai ,  nirmaanaatmakamainavi kaavu . [ risky manage ‌ ment ](https://en.wikipedia.org/wiki/Risk_management) ki sambamdhinchina anek inginiiring vidhaanaalatoo polisthe idi pradhaana vyatyaasam .

 ganita pramaada kolatalu kudaa pettubadidaarula yokka nijamaina aandolanalanu prathibimbinchee sthaayiki Bara upayogapadataai - aacharanalo yevaru pattinchukoni variable ‌ nu tagginchadamlo ardham ledhu .  pratyekinchi , (https://en.wikipedia.org/wiki/Variance)   anede asaadhaaranamgaa adhika raabadini asaadhaaranamgaa takuva raabaditho samaanamgaa risky ‌ thoo lekkinche sushta kolatha . [ nashtam virakti ](https://en.wikipedia.org/wiki/Loss_aversion)  yokka manasika drugvishayam anede pettubadidaarulu labhala kante nashtaala girinchi ekkuvaga aamdolana chendutaaru ,  antey risky yokka mana sahajamaina Bodh prathamikangaa asamana swabhavam kaligi umtumdi .  anek itara risky caryalu  ( [ coherent risky kolatalu ](https://en.wikipedia.org/wiki/Coherent_risk_measure)  vantivi )  pettubadidaarula nijamaina praadhaanyatalanu bagaa pratibimbimchavachchu .

 adhunika Port ‌ folio siddhaantam kudaa vimarsinchabadindi ,  endhukante raabadulu  [ gassian pampinhii ](https://en.wikipedia.org/wiki/Normal_distribution) ni anusaristaayani bhaavimchaaru .  ippatike  1960 lalo , [Benoit Mandelbrot](https://en.wikipedia.org/wiki/Benoit_Mandelbrot)  mariyu  [Eugene Fama](https://en.wikipedia.org/wiki/Eugene_Fama)  yea ooha yokka asamarthatanu choopinchindi mariyu badhuluga marinta sadarana  [ sthiramaina pampineelu ](https://en.wikipedia.org/wiki/Stable_distributions)  vupayoganni pratipaadinchaaru . [Stefan Mittnik](https://en.wikipedia.org/wiki/Stefan_Mittnik)  mariyu  [Svetlozar Rachev](https://en.wikipedia.org/wiki/Svetlozar_Rachev)  atuvanti anukuulamaina Port ‌ folios ‌ nu roopondhinchadaaniki vyuuhaalanu andichaaru .

[ viruddha pettubadidaarulu ](https://en.wikipedia.org/wiki/Contrarian_investing)  mariyu  [ viluva pettubadidaarulu ](https://en.wikipedia.org/wiki/Value_investing)  saadharanamga adhunika Port ‌ folio siddaantaaniki sabhyatvaanni pondaru .  ooka abhyantharam aemitante  MPT [ samardhavanthamaina maarket parikalpana ](https://en.wikipedia.org/wiki/Efficient-market_hypothesis) pai adharapadutundi .
 mariyu risky ‌ ki pratyaamnaayamgaa shere dharalo hecchutaggulanu upayogistundi . [ sar jeanne templeton ](https://en.wikipedia.org/wiki/Sir_John_Templeton)
 vaividhyeekarananu ooka bhavanaga vishwasinchaaru ,  conei  MPT  yokka saiddhaantika punaadulu sandehaaspadamgaa unnayani bhaavimchaaru mariyu  ( jiivitacharitra rachayita varninchinatlugaa ): " chaarithraka astirata vento nammadagani mariyu asambaddhamaina gananka in ‌ putt ‌ l aadhaaramga Port ‌ foliyolanu nirminchadam aney Bodh apajayam paalaindhi .
-  modarn Port ‌ folio thierry  (MPT)  upayoegimchae risky ,  return mariyu courilation kolatalu aasinchina viluvalapai aadhaarapadi untai ,  atuvanti anchana viluvalu chaarithraka deetaanu roopondinchinappudu laeni kothha paristhithulanu parigananaloki teesukovadamlo viphalamavutaayi .
- MPT loo upayoginchina risky kolatalu sambhaavyamgaa untai ,  endhukante  MPT  modal ‌ lu gta maarket deetaa aadhaaramga nashtaala sambhaavyata paranga pramaadaanni kaligi untai mariyu nastalu yenduku sambhavistayi aney dani aadhaaramga kadhu .
- MPT  vyatyaasaala ruupamloe nastalanu tagginchadaaniki prayatnistundi .  ayithe ,  yea metrik aacharanalo pettubadidaarula nijamaina aandolanalanu pratibimbimchadu .  vaividhyam sushtamgaa umtumdi ,  kabaadi idi adhika nashtaala maadirigaane adhika raabadini sikshistundi .  ayithe ,  pettubadidaarulu laabham kante nashtam girinchi ekuva shradda vahisthaaru ,  kabaadi pramaadam yokka avagaahana asamana swabhavam kaligi umtumdi .  pondikaina pramaada caryalu pettubadidaarula praadhaanyatanu prathibimbinchee merugaina metrik ‌ gaaa vundali 
- MPT  raabadulu gassian pampineeni anusaristaayani oohistundi .  ayinappatikee ,  chaaala mandhi panditulu returns sthiramaina pampineela vento itara pampineelanu anusarinchavacchani suchistunnaru 
- MPT  samardhavanthamaina - maarket parikalpanapai adharapadutundi mariyu shaeru dara hecchutaggulu pramaada kolatha ani oohistundi .  ayithe ,  chaarithraka astirata aadhaaramga Port ‌ folionu nirminchadam anede sar jeanne templeton vimarshinchina prashnaarthakamaina aavarana 