Kikokotoo cha kanuni ya 72
Kadiria miaka mingapi pesa zako zitakuwa mara mbili kwa kiwango fulani cha riba.
Hufanya kazi kwenye kivinjari chako. Faili zako hazitoki kamwe kwenye kifaa. Tazama jinsi ya kuthibitisha
…
Jinsi ya kufanya
- 1Jaza visanduku
Andika namba zako au chagua chaguo unazohitaji.
- 2Angalia matokeo
Jibu husasishwa mara moja unapobadilisha thamani.
- 3Litumie
Nakili matokeo au yaandike. Hakuna kinachotumwa popote.
About this tool
Enter an annual rate of return. The rule of 72 divides 72 by the rate to estimate the years to double. The tool also shows the exact result, and the rule of 114 and 144 for tripling and quadrupling.
The rule
Divide 72 by the interest rate to get the approximate years for money to double with compound interest. At 6 percent it takes about 12 years, at 9 percent about 8 years. It is accurate for rates between about 4 and 12 percent.
Why it matters
It shows how rates and time compound. It also works for inflation: at 3 percent inflation prices double in about 24 years.
Other versions
Use 114 for tripling and 144 for quadrupling. For very high or low rates, the exact formula is shown for comparison.
Mfano uliotatuliwa
With the boxes at their starting values (Annual rate of return (%): 7), the tool shows: Years to double (exact): 10.2; Years to triple (rule of 114): 16.3; Years to quadruple (rule of 144): 20.6; Years to double (rule of 72): 10.3. Change any box to see your own numbers. The result updates as you type, and nothing leaves your browser.
Vidokezo vya matokeo bora
Angalia kila kisanduku kabla ya kuamini matokeo, kwa sababu nambari moja isiyo sahihi hubadilisha jibu zima. Tumia nambari kamili kutoka kwenye hati ya mshahara, ankara, cheti au mkataba na uandike tarehe uliyohesabu. Viwango, vizingiti na sheria hubadilika mara kwa mara, kwa hivyo kwa kodi, ada na masuala ya kisheria chukulia matokeo kuwa makadirio na uyathibitishe na chanzo rasmi kilichotajwa kwenye ukurasa huu. Unaweza kujaribu hali nyingi unavyotaka; hakuna kinachohifadhiwa wala kutumwa na kupakia upya ukurasa husafisha visanduku.
Kwa ufupi
- Kategoria: Uingereza na Marekani
- Hufanya kazi kwenye kivinjari, bila usajili, bila kupakia.
- Taarifa unazoingiza hubaki kwenye kifaa chako.
- Inapatikana kwa Kiingereza.
- Maudhui yalikaguliwa mwisho:
- Chanzo rasmi: IRS
Maswali yanayoulizwa mara kwa mara
Is it exact?
No, it is an approximation. The exact figure uses logarithms and is shown below the estimate.
Does it work for inflation?
Yes. Divide 72 by the inflation rate to see when prices double.
Why 72?
72 has many divisors and gives a good fit to the exact formula at typical rates.
Does it include contributions?
No. It assumes a single amount that compounds.