'n Skool wil vir hul 'n nuwe bus koop op 1 Januarie 2012 ... - AdMaths

GR 11 FINANSIES VOORBEELD NOV EKS 2011 /
FINANCE EXAMPLE NOV EXAM 2011
VRAAG / QUESTION 1
‘n Skool wil vir hul ‘n nuwe bus koop op 1 Januarie 2012. Die
verwagte aankoopprys is R450 000. Op 1 Januarie 2009 het die
skool reeds R95 000 in ‘n spaarrekening deponeer waar dit ‘n
jaarlikse saamgestelde rentekoers verdien van 9,2% p.j. Die skool
se ou bus gaan ingeruil word met die aankoop van die nuwe bus
teen ‘n verwagte inruilwaarde van R49 000.
A school wants to buy a new bus on 1 January 2012. The expected
purchase price is R450 000. On 1 January 2009 the school has
already deposited R95 000 in a savings account earning a yearly
compounded interest of 9,2% p.a. The school’s old bus will be
traded in against the new bus at an expected trade-in value of
R49 000.
1.1 Hoeveel geld sal die skool as ‘n deposito op die nuwe bus
kan neersit indien die ou bus ingeruil word en al die geld in
die spaarrekening gebruik word? /
What amount will the school be able to deposit for the new
bus if it trades in the old bus and uses all the money in the
savings account?
1.2 Die res van die aankoopprys sal oor ‘n tydperk van 5 jaar
amortiseer word. Die bank bied ‘n vaste rentekoers van
20,3% p.j., maandeliks saamgestel aan. Bepaal die
maandelikse paaiemente wat die skool moet betaal indien
die eerste paaiement betaal word 1 maand nadat die bus
gekoop is en die laaste paaiement betaal word presies vyf
jaar nadat die bus gekoop is ./
The remainder of the purchase price will be amortised over a
5-year period. The bank offers a fixed rate of 20,3% p.a.,
compounded monthly. Determine the monthly payments that
the school must make if the first payment is made 1 month
after the bus was bought and the last payment is made exactly
five years after the bus was bought. (6)
GR.11 Nov 2011 VB FINANSIES/E.g. FINANCES
(6)

Die nuwe bus het ‘n verwagte lewensduur van 8 jaar. Die
verwagte sloopwaarde na 8 jaar is R40 000. Die verwagte
inflasiekoers vir die hele 8 jaar is 6% p.j. /
The new bus has an expected lifespan of 8 years. The
estimated scrap value after this time is R40 000. Inflation
is expected to run at 6% p.a. for the whole 8 years.
1.3 Bereken die jaarlikse depresiasiekoers vir die nuwe bus
deur van ‘n verminderende balans-metode gebruik te maak.
/
Calculate the annual depreciation rate for the new bus,
using a reducing balance method.
1.4 Bereken die verwagte vervangingswaarde van die bus na 8
jaar. /
Calculate the expected replacement value of the bus after 8
years.
(5)
GR.11 Nov 2011 VB FINANSIES/E.g. FINANCES
(8)

Nadat die nuwe bus klaar betaal is, wil die skool ‘n
delgingsfonds instel met ‘n nuwe vaste halfjaarlikse
betaling vir die res van die 3 jaar voordat die nuwe bus
vervang moet word (6 paaiemente - die finale
paaiement moet onmiddellik voor vervanging van die
nuwe bus betaal word.) Die skool wil R500 000 in die
delgingsfonds hê na die 3 - jaar periode. /
Once the school has finished paying off the new bus it
will set up a sinking fund with fixed half-yearly payments
for the remaining 3 year period before the new bus has
to be replaced (6 payments - the final being made
immediately prior to replacing the new bus). The school
wishes to have R500 000 in the sinking fund after the 3
year period.
1.5 As die rente op die geld teen 11,3% p.j. maandeliks
saamgestel, bereken word... /
If interest on the money is calculated at 11,3% p.a.,
compounded monthly... /
1.5.1 bepaal die halfjaarlikse paaiement in die delgingsfonds. /
determine the semi-annual payment into the sinking fund.
1.5.2 bereken die effek op die waarde van die delgingsfonds na
die 3-jaar periode, indien hul die tweede en vyfde
paaiement nie kon betaal nie. /
determine the effect on the value of the sinking fund after
the 3 year period if they could not pay the second and fifth
payments.
GR.11 Nov 2011 VB FINANSIES/E.g. FINANCES
(9)
(6)
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