PRESENT VALUE FOR ANNUITY CASH FLOWS
We will frequently encounter situations in which we have multiple cash flows that are all the same amount. For example, almost all consumer loans (such as car loans) and home mortgages feature a series of equal payments over some length of time, usually made each month.
The formula:
If the cash flows of an annuity are all the same, we can come up with a handy variation on the basic present value equation. The present value of an annuity of C dollars per period for t periods when the rate of return or interest rate is r is given by:
Annuity present value = C ×[(1- PRESENT VALUE FACTOR)/r] OR
= [C × 1-{1/(1+r)qudratic t)/ r}]
Case: How much can you afford?
After carefully going over your budget, you have determined you can afford to pay $632 per month toward a new sports car. You call up your local bank and find out that the going rate is 1 percent per month for 48 month. How much can you borrow?
Source: Ross, Stephen A., Randolph W. Westerfield, and Bradford D. Jordan. 2008. Corporate Finance Fundamentals, eighth edition. New York: McGraw- Hill Company.
5 komentar:
Itu apa toh???
gag mudheng aq om . . .
setelah tak translete kan, aq agak mudheng artinya.dan aq masukin angka2 dan keterangan2 itu ke dalam rumus, hasil akhirnya adalah aq dapat meminjam sebanyak $ 25.367
ntar tak itunge lg.salah kliatane.mungkin pancen salah.hehehehe
I am sorry if I wrong to answer this. I just try to answer this with my own way. LoL.
This is how much money we can borrow per month :
$632 x 1% = $6.32
$632 - $6.32 = $625.68 >> answer
This is how much money we can borrow for 48 months :
$632 x 48 = $30336
$30336 x 1% = $303.36
$30336 - $303.36 = $30032.64 >> answer
So with that amount of loan, we won't be bankrupt, because the amount that we must pay to the bank per month isn't above of our affordable cash.
=]
saya akan meminjam sebesar $30032.64
per bulan membayar $625.68
rumus :
c = $632
t = 48 bulan
r = 1 %
bunga 48 bulan = 1/100 * 632 * 48 = $303,36
gaji = $632 * 48 = $30336
$30336 - $303,36 = $30032,64 -> meminjam selama 48 bulan
$30032,64 : 48 = 625,68 -> cicilan perbulan
jadi seperti itu....insyaallah....
dauz
Present value:
C=632
r=1%
t=48
so,,
Formula : [C × 1-{1/(1+r)qudratic t)/ r}]
x = 632 x 1 - {1/(1+1%)^48)/1%}
= 632 x 1 - {1/(1,001^48)/0.01}
= 632 x 1 - 0.62 / 0,01
= 632 x 0.38 / 0.01
= 632 x 38
= 24016
dengan peminjaman sebesar $ 24016 selama periode tsb....
sedangkan selama periode tsb total penghasilan $ 30336
masih sisa : $ 30336 - $ 24016 = $ 6320
semoga beruntung
plan the futue....
ra ono salahe planning..
jd d coba wae...
prtama kali bc....sek ....nyabi mahami...hehe
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