1.
Problem
Recognition, Definition and Evaluation
With new home already bought, know I need a good
vehicle to replace my motorbike. I plan
to purchase a car so I can go to work more safety. Since I don’t have enough cash at my pocket,
than I plan to loan the money. The Price of the car that I want to buy is Rp.
150.000.000,-
The Problem is where I can have loan with low
installment payment.
2.
Feasible
alternatives
I have check several bank loan and found two creditor
with attractive rate i.e :
a. Leasing
from Bank BNI
The bank
interest rate is 10% per year for two years fix rate, administration and
insurance cost must be paid 3% from total loan and payment must be monthly
payment with guarantee loan one time installment and will be return when the
total loan was paid.
b. Borrow
from Company insurance:
The company insurance rate take 12% per year, but must become
a member and shall saving monthly Rp. 50.000,
Both creditor give maximum loan
for 5 years.
3.
The
casflow for each feasible alternatives
a. Leasing
from Bank
Bank
Interest rate = 10%/year or 0.88%/month for first two period
Administration
cost = 3% from total loan = Rp. 6.000.000,-
Guarantee
loan = 1x of monthly installment.
Using A
(annuity value) we can find monthly installment :
A=P(P/A,i%,n)
= :
With P =
Rp. 200.000.000,-
I = 0.88%
N
=
5x12 = 60 Month
A = Rp.200.000.000(P/A,0.88%,60) = Rp. 4,249,408.94
The cash flow can be draw at below figure:
b. Borrow from Company Insurance
Company
Insurance rate : 12%/year or 1%/month
Monthly
saving : Rp. 50.000,- with interest 5%
per year.
Savings
can be taken after total loan was paid.
Using A
(annuity value) we can find monthly installment :
A=P(P/A,i%,n)
= :
Where P
= Rp. 200.000.000,-
i = 1.00%
N = 5x12 = 60 Month
A
= Rp.200.000.000(P/A,1%,60)
= Rp. 4,448,889.-
Using FV
for calculating total saving after 60 month.
F=A(F/A,i%,n)
= F=
Where A =
Rp.50.000
i
= 0.42%
N = 60 month
F =
Rp.50.000(F/A,0.42%,60) = Rp. 3,400,304.14
The cash flow can be draw at below figure:
4.
Selection
of the acceptable criteria.
Using cash flow diagram, we will analyze which one is
more acceptable.
5.
Analysis
for the alternatives
Leasing from bank
If all 5 years interest rate is fix and continue
10%/year than total Payment will be Rp. 4,249,409.- x 60 + Rp. 6.000.000,- = Rp.
260,964,536.-
But based from economic changes the real rate will
depend on the market value.
From Bank Negara Indonesia rate, average rate per year
will be take 13%.
Assume after two years fix rate period, the third year,
fourth year and five year will have interest rate 13% /year than the cash flow
can be shown below.
Using A (annuity value) we can find monthly installment
:
i = 13%/12 = 1.083%
A=
P(P/A,i%,n) = :
With P =
Rp. 200.000.000,-
i = 1.083%
N
=
5x12 = 60 Month
A =
Rp.200.000.000(P/A,1.04%,60) = IRp. 4,550,614.-
The cash flow can be draw at below figure:
Total payment can be calculated : Rp. 4,249,409 x 24 +
Rp. 6.000.000 + Rp IDR 4,550,614.61x36 =
Rp271,807,940.-
Borrow from Company Insurance
Since my company give fix rate for 5 years than total
Payment will be Rp. 4,448,889.54.- x 60 + Rp.50.000 x 60 - Rp. 3.400.304,- = Rp.273,333,676..-
6.
Select
the preferred alternative
From above analysis we can take conclusion that loan
from Bank will take lower cash flow installment payment for 2 years period I.e.
Rp. 4,249,409 for two years period
compare with borrow from insurance company i.e. Rp. 4,498,889. But after
two years period the monthly installment from Bank is higher i.e Rp. 4,550,614
for the last three year average.
Total Payment if I loan from bank is cheaper compare if
I loan from insurance company i.e. Rp. Rp271,807,940 vs Rp.273,333,676.
Based from that I will consider to loan from Bank.
7.
Performance
Monitoring & Post Evaluation of Result
Performance and the quality of these calculation can be
review yearly.
8.
Reference:
- Engineering
Economics-Fifteen Edition, chapter 4, The Time Value Of Money
- Understanding
The Time Value Of Money, www.investopedia.com
- Time
value of money, http://en.wikipedia.org/wiki/Time_value_of_money
-
BNI KPR, http://www.ibank.bni.co.id
Well done, Pak Felix. Nice case study and you followed our step by step process very well.
ReplyDeleteAnd you cited your references appropriately.
For future postings, I would much prefer that you pick a case study from your working rather than personal environment, just because we want to maximize the return on training investment, however, there is nothing wrong with what you have done.
BR,
Dr. PDG, Singapore