Kalkuleta na Hauhawar Kuɗi

Ƙa’ida

Darajar yau = adadin da ya wuce × (1 + i)^t, inda i shine matsakaicin ƙimar hauhawar farashin shekara-shekara kuma t shine adadin shekaru tsakanin shekaru biyun. Alkiblar baya - menene darajar kuɗin yau a cikin shekarar da ta gabata - ta raba maimakon haka: ƙimar da ta gabata = adadin yau ÷ (1 + i)^t. Duk hanyoyi biyu suna amfani da ma'aunin ci gaba iri ɗaya (1 + i)^t.

Misalin aiki

Ka ɗauka cewa hauhawar farashin kaya a kowace shekara na 3% daga 2000 zuwa 2026, tsawon shekaru 26. Ma'aunin ci gaban shine (1.03)^26 ≈ 2.1566: siyan $100 a cikin 2000 zai kashe kimanin $215.66 a cikin 2026. A akasin haka, $100 a cikin 2026 yana da ikon siyan kusan $46.37 a cikin 2000. Wannan misali ne mai ƙima, ba ma'aunin farashi na tarihi na hukuma ba.

Amfani da iyakoki

Wannan shafin yana amfani da ƙimar hauhawar farashin da aka ɗauka akai-akai, ba tare da ɗaukar bayanan CPI ba. Matsakaicin ƙimar shekara-shekara na iya sake haifar da canjin tsakanin ma'aunin ƙarshe guda biyu, amma ba zai iya bayyana hanyar shekara-shekara da ke shiga tsakani ba. Yi amfani da jerin CPI, ƙasa da lokacin kwatantawa akai-akai da aka buga don aikin tarihi. Sakamakon yana kwatanta ƙarfin siye gabaɗaya, ba farashin wani takamaiman abu ba.

Ofishin Kididdiga na Ma'aikata na Amurka: Canje-canje a cikin kashi na CPI

Sigar tsari: 16c48e98c8f0 · An duba misali: 2026-10-31

FAQ

Me yasa 3% na shekaru 26 ya fi farashin ninki biyu?

Haɗawa. Ƙarar kowace shekara ta shafi matakin farashi da aka riga aka ƙara, don haka ci gaban yana ƙaruwa: 1.03²⁶ = 2.1566. A 2%, ma'aunin a cikin shekaru 26 shine 1.67; a 5% shine 3.56. Ƙananan bambance-bambancen farashi suna haɗuwa zuwa manyan.

Shin matsakaicin ƙimar yayi daidai da ainihin CPI?

Babu bayanai da aka ɗora a nan. Don daidaita maki biyu na ƙarshe na CPI da aka buga a cikin shekaru t, shigar da 100 × ((fihirisar ƙarshe ÷ farkon fihirisa)^(1/t) − 1) a matsayin ƙimar shekara-shekara. Matsakaicin lissafi na canje-canje na kashi na shekara-shekara gabaɗaya baya ba da sakamako iri ɗaya mai haɗawa. Yi amfani da watanni masu daidaitawa ko daidaitattun fihirisa na shekara-shekara; waɗannan kwatancen na iya bambanta.

Me ake nufi da "darajar $46.37 a cikin dala 2000"?

Yana nufin $100 a yau yana siyan kusan abin da $46.37 ya saya a cikin 2000. Ba yana nufin kowa yana riƙe da $46.37 ba - iri ɗaya ne ikon siye da aka bayyana a cikin farashin tsohon shekara.

Ta yaya wannan ya bambanta da kalkuleta na ƙimar yanzu?

Lissafi iri ɗaya ne - duka suna amfani da (1 + r)^t - amma ƙimar yana nufin wani abu daban. Rage ƙimar yanzu ta hanyar dawowa ko farashin jari; daidaita hauhawar farashi yana sake canzawa ta matakan farashi. Dabara ɗaya, tambaya daban.

Shin hauhawar farashin kaya zai iya zama mara kyau?

Eh — raguwar farashi. Matsakaicin ƙimar mara kyau yana rage ƙimar ci gaban ƙasa da 1, don haka kuɗin da ya gabata ya fi ƙasa da yadda yake a da. Shigar da ƙimar mara kyau don yin kwaikwayon lokacin raguwar farashi.

Me yasa tsoffin albashi suke kama da ƙanƙanta haka?

Saboda wannan ma'anar. Albashi $30,000 a cikin 2000 yayi daidai da kusan $64,700 a cikin dala 2026 a matsakaicin hauhawar farashin kaya na 3% (30,000 × 2.1566). Kwatanta adadin marasa adadi a cikin shekaru da yawa ba tare da daidaita kurakurai a duka hanyoyi ba.

Kayan aiki masu alaƙa

• Kalkuleta Mai Amfani da Haɗaɗɗen Riba — lissafin haɗaka iri ɗaya da aka yi amfani da shi ga tanadi
• Kalkuleta na Manufar Ajiyar Kuɗi — tanadin wata-wata da ake buƙata don cimma burin gaba
• Kalkuleta na ritaya — tsara dogon lokaci inda hauhawar farashin kaya ya fi muhimmanci