Question #193965

Activity: Amortization Payment

Cedric purchased a new fishing boat for

P130,000. He made a P20,000 down payment, and financed the balance at his bank

for 7 years. What amortization payments are required every 3 months, at 16%

interest, to pay off the boat loan?

2.Cameron Manufacturing recently purchased a new

computer system for P150,000. What amortization payment is required each month,

at 12% interest, to pay off this obligation in 8 years?

3The Clintons bought a home for P12,050,000.

After a 15% down payment, the balance is financed at 8% interest for 9 years.

(a) What equal quarterly payments will be required to amortize this mortgage

loan? (b) What is the total amount of interest the Clintons will pay on the

loan?


1
Expert's answer
2021-05-24T03:46:03-0400

1.

Loan amount(PV)=Price of a new fishing boat - Down payment

=130,00020,000=P110,000=130,000-20,000\\=P110,000


Rate=Interest ratePeriods of compoundingRate=\frac{Interest\space rate}{ Periods \space of\space compounding}


=16%4=\frac{16\%}{4}


=4%=4\%


Number of periods (Nper) = Loan term ×\times Periods of compounding

=7×4=28=7\times 4\\=28

We can compute the periodic payments by using the PMT function in Excel. The PMT function can be used as follows:

=PMT(rate,nper,pv,[fv],[type])=PMT(4%,28,110000)=P6,601.43=PMT(rate,nper,pv,[fv],[type])\\ =PMT(4\%,28,-110000)\\ =P6,601.43


2.

Present value (PV)=P150,000

Rate=Interest ratePeriods of compoundingRate=\frac{Interest\space rate}{ Periods \space of\space compounding}


=12%12=\frac{12\%}{12}


=1%=1\%


Number of periods (Nper) = Loan term ×\times Periods of compounding

=8×12=96=8\times12\\=96

We can compute the periodic payments by using the PMT function in Excel. The PMT function can be used as follows:

=PMT(rate,nper,pv,[fv],[type])=PMT(1%,96,150000)=P2,437.93=PMT(rate,nper,pv,[fv],[type])\\ =PMT(1\%,96,-150000)\\ =P2,437.93


3.

(i)

Loan amount(PV)=Price of a home - Down payment

=12,050,000(15%×12,050,000)=P10,242,500=12,050,000-(15\%\times12,050,000)\\=P10,242,500

Rate=Interest ratePeriods of compoundingRate=\frac{Interest\space rate}{ Periods \space of\space compounding}


=8%4=\frac{8\%}{4}


=2%=2\%


Number of periods (Nper) = Loan term ×\times Periods of compounding


=9×4=36=9\times 4\\=36


We can compute the periodic payments by using the PMT function in Excel. The PMT function can be used as follows:

=PMT(rate,nper,pv,[fv],[type])=PMT(2%,36,10,242,500)=P401,842.49=PMT(rate,nper,pv,[fv],[type])\\ =PMT(2\%,36,-10,242,500)\\ =P401,842.49

(ii)

Total amount of payments = Quarterly payments ×\times Number of periods

=401,842.49×96=P14,466,329.74=401,842.49\times 96\\=P14,466,329.74


Total amount of interest = Total amount of payments - loan amount

=14,466,329.7410,242,500=P4,223,829.74=14,466,329.74-10,242,500\\=P4,223,829.74




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