Ngā tauira pātai e pā ana ki te tipu o te taupori me pēhea te tatau
Pendahuluan
Ko te taupori tētahi o ngā rawa tino nui o tētahi whenua. Mā te tipu taupori kua whakamaheretia, kua inehia hoki, ka pā pai ki te whanaketanga ōhanga me te whanaketanga pāpori. Heoi, mā te tipu kāore i te whakahaeretia ka ara ake ngā raruraru maha pērā i te rawakore, te kore mahi, me te pēhanga ki ngā rauemi taiao. Nō reira, he mea nui kia mārama ki te tatau i te tipu taupori me ōna pānga ki te whanaketanga. I roto i tēnei tuhinga, ka matapakihia e mātou ētahi tauira o ngā tataunga tipu taupori me ngā tikanga ka taea te whakamahi i roto i ēnei tataunga.
Ngā Kaupapa Taketake o te Tipu Taupori
Ko te tipu o te taupori ko te panonitanga o te tokomaha o ngā tāngata e noho ana i tētahi rohe i roto i te wā. Ka taea e tēnei tipu te pai (piki) te kino rānei (heke). Ko ngā wāhanga matua e pā ana ki te tipu o te taupori ko ngā reiti whānau, ngā matenga, me te hekenga. I te nuinga o te wā, ko te tātai mō te tipu o te taupori ko:
\[ \text{Te Tipu o te Taupori} = (\text{Ngā Whānautanga} – \text{Ngā Matenga}) + (\text{Hekenga Mai} – \text{Hekenga Mai}) \]
Heoi, mō tētahi māramatanga taipitopito ake, he maha ā mātou tikanga tatau e whakamahi ana pērā i te tikanga ā-ira, te tikanga tātai, me te tikanga taupū.
Ngā Pātai Tauira me te Kōrero
Pātai 1: Te Whakamahinga o ngā Tikanga Pāngarau
E ai ki tētahi kairangahau, 10,000 te taupori o tētahi kāinga i te tau 2020. Ko te reiti whānau i taua tau he 300, ā, ko te reiti mate he 100. Mēnā kāore he hekenga tangata i puta, e hia te taupori o te kāinga i te tau 2021?
Kōrero:
Mā te tikanga tātai, ka tatauhia te tipu o te taupori i runga i ngā huringa ā-tau pumau. Ko te tātai:
\[ \text{Taupori Whakamutunga} = \text{Taupori Tīmata} + (\text{Whānautanga} – \text{Matenga}) \]
Whakakapia ngā tau e mōhiotia ana:
\[ \text{Taupori Whakamutunga} = 10,000 + (300 – 100) \]
\[ \text{Taupori Whakamutunga} = 10,000 + 200 \]
\[ \text{Taupori Whakamutunga} = 10,200 \]
Nō reira, ko te taupori i te tau 2021 he 10,200 tāngata.
Pātai 2: Te Whakamahinga o ngā Tikanga Āhuahanga
Ko te taupori tuatahi o tētahi tāone he 50,000 tāngata, ā, ko te tere tipu taupori he 2% ia tau. Tātaihia te taupori i roto i ngā tau e 5 e whai ake nei.
Kōrero:
He maha ngā wā ka whakamahia te tikanga āhuahanga ina pumau te tere tipu, ā, ko te tātai koia tēnei:
\[ \text{Taupori Whakamutunga} = \text{Taupori Tuatahi} \times (1 + \text{Te Tere Tipu})^n \]
Ko \( n \) te maha o ngā tau. Whakakapia ngā tau e mōhiotia ana:
\[ \text{Taupori Whakamutunga} = 50,000 \times (1 + 0.02)^5 \]
\[ \text{Taupori Whakamutunga} = 50,000 \times (1.10408) \]
\[ \text{Taupori Whakamutunga} = 55,204 \]
Nō reira, i roto i ngā tau e 5, ka eke te taupori o te tāone ki te 55,204 tāngata.
Pātai 3: Ngā Tauwehenga Taupūnga
I kitea i roto i tētahi rangahau, ka tere te piki o te hekenga mai ki tētahi tāone nui i te noho tāone nui. Mēnā ko te tere tipu tere o te tāone nui he 3% ia tau, e hia te taupori o te tāone nui i roto i ngā tau 10 mēnā ko tōna taupori o nāianei he 800,000?
Kōrero:
Ka whakamahia te tikanga taupū hei whakatau tata i te tipu o te taupori me te tere tipu ka piki haere i roto i te wā. Ko te tātai ko:
\[ \text{Taupori Whakamutunga} = \text{Taupori Tuatahi} \times e^{rn} \]
Ko \( e \) he tau taupū (tata ki te 2.71828), ko \( r \) te tere tipu, ā, ko \( n \) te wā i roto i ngā tau. Mō tēnei take:
\[ \text{Taupori Whakamutunga} = 800,000 \times e^{0.03 \times 10} \]
\[ \text{Taupori Whakamutunga} = 800,000 \times e^{0.3} \]
\[ \text{Taupori Whakamutunga} = 800,000 \times 1.34986 \] (mā te whakamahi i te tātaitai mō \( e^{0.3} \))
\[ \text{Taupori Whakamutunga} = 1,079,888 \]
Nō reira, e kiia ana ka eke te taupori o te tāone ki te 1,079,888 tāngata i roto i ngā tau 10.
Whakamutunga
Me mārama ki te tikanga tika hei tatau i te tipu o te taupori, nā te mea he whakaaro motuhake me te horopaki whakamahinga tō ia tikanga. He pai ngā tikanga tātai mō ngā huringa taupori pumau, rārangi, ko ngā tikanga ā-ira me ngā tikanga taupū he pai ake mō ngā taupori e pāngia ana e te tere tipu pumau. Mā te ako i te tipu o te taupori ka āwhina i ngā kaiwhakamahere me ngā kaihanga kaupapa here ki te whakatau rautaki mō te whanaketanga pumau.
He taahiraa nui te tautuhi me te mārama ki ngā au o te tipu o te taupori, inā koa he maha ngā whenua e pāngia ana e ngā wero e pā ana ki te noho tāone, te hekenga mai, me te tohatoha rauemi taurite. Mā ngā taputapu me ngā mōhiotanga tika, ka taea te mahi tatau tika hei whakatakoto kaupapa here tika, hei tautoko i ngā hanganga rawaka, te mātauranga, te hauora, me te oranga whānui o te taupori.
