Uzuzo oluhlanganisiwe uyini ngempela
Uzuzo oluhlanganisiwe (compound interest), ngamazwi alula, uzuzo olukhiqiza uzuzo. Uqala ngemali ethile, ikhule ngephesenti elithile, bese isigaba esilandelayo sokukhula sibalwa ngebhalansi entsha, enkulu, hhayi nje ngalokho owakufaka ekuqaleni. Yenza lokho njalo futhi ibhalansi iqale ukukhuphuka ngokushesha nangokushesha. I-calculator yethu yozuzo oluhlanganisiwe ikuvumela ukuthi ufake imali oqala ngayo, izinga, isikhathi, kanye nomnikelo ojwayelekile, bese ikukhombisa ukuthi isamba sikhula kanjani ngonyaka nonyaka. Kuyithuluzi lokuhlela nokufunda, hhayi isithembiso senzuzo ethile.
Umehluko phakathi kwalokhu kanye nozuzo olulula (simple interest) kufanele uwuqonde kahle, ngoba uchaza cishe konke okulandelayo. Ngozuzo olulula, uzuzo lwakho luvela kuphela emalini oyisisekelo (principal). Faka u-$1,000 ngezinga elingu-5 phesenti lozuzo olulula bese uthola u-$50 minyaka yonke, ingunaphakade, kungakhathaliseki ukuthi ibhalansi ikhule kangakanani. Ngozuzo oluhlanganisiwe, lelo $50 lokuqala liyengezwa ebhalansini yakho, futhi ngonyaka olandelayo uthola u-5 phesenti ku-$1,050, okungu-$52.50. Ngonyaka olandelayo lowo uthola ku-$1,102.50. Uzuzo lonyaka ngamunye lukhula kancane kunolwangaphambilini, futhi igebe phakathi kwezindlela lezi ezimbili likhula kakhulu uma kuya ngokuya uyishiya imali ingaphathwa.
Ifomula ngamazwi alula
Isibalo esejwayelekile sokukhula okuhlanganisiwe siyi-A = P(1 + r/n)^(nt). Sibukeka sesabekayo, kodwa unyoke ngamunye ungumsetho osewuwazi:
- A yisamba sokugcina ozothola sona.
- P yimali eyisisekelo, imali oqala ngayo.
- r yizinga lozuzo lonyaka elibhalwe njengesamba ngokwesigaba, ngakho u-5 phesenti ungu-0.05.
- n ukuthi uzuzo lwengezwa izikhathi ezingaki ngonyaka (ngenyanga kungu-12, ngosuku kungu-365).
- t yinombolo yeminyaka.
Ngakho ifomula ithi: thatha imali yakho eqalayo, uyikhulise ngengcosana ngesikhathi ngasinye sokuhlanganisa, uphinde lokho kuso sonke isikhathi. Nasi isibonelo esisheshayo. Tshalela u-$1,000 ngezinga elingu-12 phesenti eliphindwaphindwa ngenyanga iminyaka emithathu. Lapha r/n ingu-0.12/12 = 0.01, futhi nt ingu-12 × 3 = 36. Lokho kunikeza u-A = 1,000 × (1.01)^36 = cishe $1,430.77. Uzuzo olulula ngezinga elifanayo bewungakunikeza u-$1,360 kuphela, ngakho ukuhlanganiswa kungeze cishe u-$70 esambeni esincane esikhathini esifushane. Yelula isikhathi futhi leyo gebe iba yiyo yonke into ebalulekile.
Kungani izikhathi zokuhlanganisa zibalulekile
Izinga elifanayo lonyaka lingakhiqiza imiphumela ehlukene kuye ngokuthi uzuzo lungezwa kangaki. Uma kuhlanganiswa njalo, kusheshe kuqale uzuzo lokuzuza kwalo. Izinga elingu-6 phesenti eliphindwaphindwa kanye ngonyaka likunikeza u-6 phesenti ngempela. Uma liphindwaphindwa ngenyanga, umbuyekezo ophumelelayo unyuka uye cishe ku-6.17 phesenti, futhi uma liphindwaphindwa ngosuku, kuya eduze no-6.18 phesenti. Ukwehla noma ukukhuphuka kuncipha njalo uma uhlanganisa kaningi, yingakho ukuhlanganisa ngosuku nokuhlanganisa okungapheliyo kuphuma kuyindawo efanayo cishe. Okuzuzwayo kusebenza empeleni: uma uqhathanisa amaakhawunti okonga noma imalimboleko, izinga elikhonjisiwe liyingxenye yendaba kuphela, futhi izikhathi zokuhlanganisa zikutshela okunye.
Iminikelo nokuqala kusenesikhathi
Isu elikhulu kunazo zonke abaningi abanaso akulona izinga, kodwa yisikhathi kanye nomkhuba wokufaka imali njalo. Isikhathi sibalulekile ngoba ukuhlanganisa kunika umvuzo omkhulu kunokulindekayo ngokubekezela. Abakoni bezimali abambili bobabili banikela isamba esifanayo, kodwa omunye uqala eminyakeni eyishumi ngaphambili bese emisa; ophumele phambili uvame ukuphetha ephambili, ngoba lezo zibonelelo zokuqala zaba nezikhathi eziningi zokuhlanganisa. Abantu bakubiza ngokuthi "isikhathi emakethe," futhi yingakho abafundisi bezimali begqugquzela ukuqala usemncane ngisho nangezindaba ezincane.
Iminikelo ejwayelekile ikhulisa lo mphumela ngamandla. Uma ufaka isamba esiqoshiwe nyanga zonke, umnikelo ngamunye omusha uba yisisekelo sawo esincane esihlanganisa kusukela ngosuku olufakiwe. I-calculator yethu ilingisa lokhu ngqo, ngakho ungabona ukuthi u-$200 njalo ngenyanga uma kuqinisekiwe ukhula kanjani kube yinto edlula ngokukhulu iminikelo yakho yonke phakathi neminyaka engamashumi amabili. Uzuzo oluzuzayo ekugcineni luyayidlula imali oyifakile, futhi kusukela lapho i-akhawunti isenza umsebenzi omkhulu kunawe.
Umthetho we-72
Uma ufuna isilinganiso esisheshayo ngaphandle kwe-calculator, sebenzisa Umthetho we-72. Hlukanisa u-72 ngezinga lakho lonyaka bese uthola isilinganiso senani leminyaka imali yakho ezoyiphindaphinda ngayo. Ngezinga elingu-9 phesenti, u-72 ÷ 9 = iminyaka engu-8 ukuze iphindeke kabili. Ngezinga elingu-6 phesenti kuyiminyaka eyishumi nambili, futhi ngo-12 phesenti kungamashumi ayisithupha. Umthetho uwuvo olulinganiselwe olunembile kakhulu emazingeni aseduze no-8 phesenti, kodwa useduze ngokwanele ukuba usebenze ngempela ukunikeza umqondo osheshayo. Usebenza ngoba ukuphindaphindeka kukhula ngesilinganiso esikhuphukayo, injini efanayo esemuva kozuzo oluhlanganisiwe. Iqhinga elifanayo lisebenza ngokuphambana kwe-inflation: hlukanisa u-72 ngezinga le-inflation ukuze ulinganise ukuthi kuzothatha isikhathi esingakanani ngaphambi kokuthi amandla emali yakho okuthenga ehle ngengxenye.
I-inflation iyawadla amazuzo eqiniso
Ibhalansi ekhulayo iyaneliseka, kodwa inombolo esesikrinini iyi-nominal, okusho ukuthi ingaphambi kwe-inflation. Uma imali yakho ikhula ngo-6 phesenti ngonyaka kanti amanani entengo akhuphuka ngo-3 phesenti, uzuzo lwakho lweqiniso lungu-3 phesenti kuphela. I-inflation iyahlanganisa ngokuthula ngokumelene nawe ngendlela efana nendlela uzuzo oluhlanganisa ngayo kuwe, ngakho ngesikhathi eside kuba nomthelela omkhulu kulokho izimali zakho ezingakuthenga ngempela. Uma uhlela, kuyasiza ukucabanga ngamazuzo eqiniso hhayi ukukhohliswa yinombolo enkulu ye-nominal. Ukuze ubone ukuthi amanani entengo adla kanjani amandla okuthenga ngokuhamba kwesikhathi, zama i-calculator ye-inflation, futhi uhlole zonke ezinye amacalculator wonke amathuluzi okuhlela isabelomali nokuguqula.
Umqaphela osheshayo: lesi sihloko ne-calculator kungolwazi nemfundo jikelele kuphela. Akuyona iseluleko sezimali, sokutshala imali, noma sentela. Amazuzo asezweni lokoqobo ayahluka, awaqinisekiswanga, futhi asuselwa ezimweni zakho, ngakho cabanga ukukhuluma nochwepheshe ogunyaziwe ngaphambi kokwenza izinqumo.
Imibuzo evame ukubuzwa
Yini umehluko phakathi kozuzo olulula nozuzo oluhlanganisiwe?
Uzuzo olulula lubalwa kuphela ngesisekelo sakho sokuqala, ngakho uzuza isamba esifanayo isikhathi ngasinye. Uzuzo oluhlanganisiwe lubalwa ngesisekelo kanye nawo wonke uzuzo osuvele wengeziwe, ngakho isikhathi ngasinye sizuza kancane kunesangaphambilini futhi ibhalansi ikhula ngokushesha ngokuhamba kwesikhathi.
Iyiphi ifomula yozuzo oluhlanganisiwe?
Ifomula ejwayelekile iyi-A elingana no-P uphindaphindwe ngo-(1 + r ehlukaniswe nge-n) ekhushulwe ngamandla ka-n uphindwe ngo-t. U-A yisamba sokugcina, u-P yisisekelo esiqalayo, u-r yizinga lonyaka njengesamba, u-n ubala ukuthi uzuzo luhlanganiswa kangaki ngonyaka, futhi u-t yinombolo yeminyaka.
Ingabe izikhathi zokuhlanganisa ziyashintsha ngempela kakhulu?
Ziyawushintsha umphumela, kodwa hhayi kangako njengoba abantu belindele emazingeni ajwayelekile. Izinga elingu-6 phesenti eliphindwaphindwa ngonyaka linikeza u-6 phesenti, kanti uma liphindwaphindwa ngenyanga linikeza cishe u-6.17 phesenti nangosuku cishe u-6.18 phesenti. Ukuhlanganisa kaningi njalo kuyasiza kancane, futhi umphumela ukhula ngesikhathi eside.
Umthetho we-72 usebenza kanjani?
Hlukanisa u-72 ngezinga lakho lonyaka lomvuzo ukuze ulinganise iminyaka edingekayo imali yakho iphindeke kabili. Ngo-9 phesenti lokho ku-72 kuhlukaniswe ngo-9, okusho iminyaka engu-8. Kuwuvo oluqondile olunembe kakhulu maduze no-8 phesenti kodwa oluluzwelo njengendlela esheshayo yokucabanga.
Kungani iminikelo ejwayelekile ibaluleke kangaka?
Umnikelo ngamunye uba yisisekelo sawo esizihlanganisayo kusukela ngesikhathi osifaka ngaso. Eminyakeni eminingi uzuzo lungakhula lube ngaphezu kwesamba osifakile, ngakho umkhuba oqinisekile wanyanga zonke uvame ukudlula isamba esisodwa esiningi esishiywe ukuba sikhule sodwa.
Ingabe i-inflation incisha amazuzo ami?
Yebo. Ibhalansi ekhonjisiwe iyi-nominal, ingakabi ne-inflation. Uma imali yakho ikhula ngo-6 phesenti kanti amanani entengo akhuphuka ngo-3 phesenti, uzuzo lwakho lweqiniso lungu-3 phesenti kuphela. I-inflation iyahlanganisa ngokumelene namandla akho okuthenga ngokuhamba kwesikhathi, ngakho kuhlakaniphile ukucabanga ngamagama eqiniso, alungiswe nge-inflation, uma uhlela.