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xcorect
10-08-2008, 09:22 AM
Kauda danne wal poli hadana suthraya
කවුද දන්නේ වැල් පොලී හදන සූතය
accessuser
10-08-2008, 09:32 AM
hmm mata mathaka ney banz ai uba salii poliyata dennada hadanne :)
xcorect
10-08-2008, 09:39 AM
Na ban wena wadakata
Airtel
10-08-2008, 09:39 AM
Kauda danne wal poli hadana suthraya
කවුද දන්නේ වැල් පොලී හදන සූතය
year 10 sylabus 1 da thibbe?
xcorect
10-08-2008, 09:42 AM
year 10 sylabus 1 da thibbe?
OL walata thibba
mata eka danaganna ona ban
dan e poth koheda danneth na
umba dannawada
Airtel
10-08-2008, 09:48 AM
OL walata thibba
mata eka danaganna ona ban
dan e poth koheda danneth na
umba dannawada
mathaka ne ban
man laga thiyena teachers guide 1 withrai
eke ne
http://www.nie.sch.lk/ebook/s11tim15.pdf
harshafx
10-08-2008, 09:50 AM
Hikzzz...umbath sakvithi wage gemak dennada yanne :lol:
suthraya nam mathaka na kollo..eth wenne poliyatath poliya hadena ekane. gaana poddak aragena eh widiyata trykarala balapan ethakota suthraya mathaka wei ;)
xcorect
10-08-2008, 09:52 AM
Aiyooooooooooooo
kuruth danne naddoooooooooooooooooooooo.................
Airtel
10-08-2008, 09:53 AM
Mathematics of interest rates (http://www.elakiri.com/forum/newreply.php)
[edit (http://en.wikipedia.org/w/index.php?title=Compound_interest&action=edit§ion=4)] Simplified Calculation
Formulae are presented in greater detail at time value of money (http://en.wikipedia.org/wiki/Time_value_of_money).
In the formulae below, i or r are the interest rate, expressed as a true percentage (i.e. 10% = 10/100 = 0.10). FV and PV represent the future and present value of a sum. n represents the number of periods.
These are the most basic formulae:
http://upload.wikimedia.org/math/e/0/c/e0ca87a82c591a0e0610792963751fd5.png The above calculates the future value of FV of an investment's present value of PV accruing at a fixed interest rate of i for n periods.
http://upload.wikimedia.org/math/4/b/5/4b5b30b41d1b085e20fc5a5a3825e936.png The above calculates what present value of PV would be needed to produce a certain future value of FV if interest of i accrues for n periods.
http://upload.wikimedia.org/math/3/6/b/36b79c738b8ba926854c017a0544c239.pngorhttp://upload.wikimedia.org/math/0/1/2/012f25957f86a752650507e4b04fdda1.png The above two formulae are the same and calculate the compound interest rate achieved if an initial investment of PV returns a value of FV after n accrual periods.
http://upload.wikimedia.org/math/8/f/d/8fd9a90e0a838d6af25128576643ba62.png The above formula calculates the number of periods required to get FV given the PV and the interest rate i. The log function can be in any base, e.g. natural log (ln)
[edit (http://en.wikipedia.org/w/index.php?title=Compound_interest&action=edit§ion=5)] Compound
Formula for calculating compound interest:
http://upload.wikimedia.org/math/3/c/6/3c61f664e4b9ae0ea85f89dff6b52548.png
Where,
P = principal amount (initial investment)
r = annual nominal interest rate (as a decimal)
n = number of times the interest is compounded per year
t = number of years
A = amount after time tExample usage: An amount of $1,500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. Find the balance after 6 years.
A. Using the formula above, with P = 1500, r = 4.3/100 = 0.043, n = 4, and t = 6:
http://upload.wikimedia.org/math/a/3/d/a3d51ac5f6c04328671922571dc543d2.png
So, the balance after 6 years is approximately $1,938.84.
[edit (http://en.wikipedia.org/w/index.php?title=Compound_interest&action=edit§ion=6)] Translating different compounding periods
Each time unpaid interest is compounded and added to the principal, the resulting principal is grossed up to equal P(1+i%).
A) You are told the interest rate is 8% per year, compounded quarterly. What is the equivalent effective annual rate?
The 8% is a nominal rate. It implies an effective quarterly interest rate of 8%/4 = 2%. Start with $100. At the end of one year it will have accumulated to:
$100 (1+ .02) (1+ .02) (1+ .02) (1+ .02) = $108.24
We know that $100 invested at 8.24% will give you $108.24 at year end. So the equivalent rate is 8.24%. Using a financial calculator or a table (http://members.shaw.ca/RetailInvestor/futurevaluetables.pdf)is simpler still. Using the Future Value of a currency function, input
PV = 100
n = 4
i = .02
solve for FV = 108.24B) You know the equivalent annual interest rate is 4%, but it will be compounded quarterly. You need to find the interest rate that will be applied each quarter.
http://upload.wikimedia.org/math/0/b/2/0b2d31c8885f746410c62c5106554faf.png $100 (1+ .009853) (1+ .009853) (1+ .009853) (1+ .009853) = $104
The mathematics to find the 0.9853% is discussed at Time value of money (http://en.wikipedia.org/wiki/Time_value_of_money), but using a financial calculator or table (http://members.shaw.ca/RetailInvestor/futurevaluetables.pdf) is easier. Input
PV = 100
n = 4
FV = 104
solve for interest = 0.9853%C) You sold your house for a 60% profit. What was the annual return? You owned the house for 4 years, paid $100,000 originally, and sold it for $160,000.
$100,000 (1+ .1247) (1+ .1247) (1+ .1247) (1+ .1247) = $160,000
Find the 12.47% annual rate the same way as B.) above, using a financial calculator or table (http://members.shaw.ca/RetailInvestor/futurevaluetables.pdf). Input
PV = 100,000
n = 4
FV = 160,000
solve for interest = 12.47% [edit (http://en.wikipedia.org/w/index.php?title=Compound_interest&action=edit§ion=7)] Example question:
In January 1970 the S&P 500 (http://en.wikipedia.org/wiki/S%26P_500) index stood at 92.06 and in January 2006 the index stood at 1248.29. What has been the annual rate of return achieved? (ignoring dividends).
http://upload.wikimedia.org/math/9/d/0/9d0f85bedc9191014f8b03f59998332b.png http://upload.wikimedia.org/math/4/5/9/45961ffa8fb9c3c07c35166975e220f3.png http://upload.wikimedia.org/math/4/2/e/42e7504ea01258341a9271abfdb6d3c7.png
[edit (http://en.wikipedia.org/w/index.php?title=Compound_interest&action=edit§ion=8)] Answer:
http://upload.wikimedia.org/math/f/9/3/f93a1686770c91a12c07afce83839094.png
[edit (http://en.wikipedia.org/w/index.php?title=Compound_interest&action=edit§ion=9)] Doubling
The number of time periods it takes for an investment to double in value is
http://upload.wikimedia.org/math/9/a/6/9a67f278e3a45d9793475c572c071784.png where http://upload.wikimedia.org/math/3/7/1/3714878e9e07938379ca367c604d2b04.png is the interest rate as a fraction.
Let p be the interest rate as a percentage ( i.e., 100 i ). Then the product of p and the doubling time t is fairly constant:
interest doubling time product
[edit (http://en.wikipedia.org/w/index.php?title=Compound_interest&action=edit§ion=10)] Periodic compounding
The amount function for compound interest is an exponential function in terms of time.
http://upload.wikimedia.org/math/0/9/8/098237749fc74c8599ba82d9fb3d4b50.png
t = Total time in years
n = Number of compounding periods per year (note that the total number of compounding periods is http://upload.wikimedia.org/math/2/d/8/2d81da8f4c1baf35e1ffce8a5d2a9970.png)
r = Nominal annual interest rate (http://en.wikipedia.org/wiki/Nominal_interest_rate) expressed as a decimal. e.g.: 6% = 0.06As n increases, the rate approaches an upper limit of er. This rate is called continuous compounding, see below.
Since the principal A(0) is simply a coefficient, it is often dropped for simplicity, and the resulting accumulation function (http://en.wikipedia.org/wiki/Accumulation_function) is used in interest theory (http://en.wikipedia.org/w/index.php?title=Interest_theory&action=edit&redlink=1) instead. Accumulation functions for simple (http://en.wikipedia.org/wiki/Simple_interest) and compound interest are listed below:
http://upload.wikimedia.org/math/9/8/8/988022ad48425e5532a6ca5ed8350536.pnghttp://upload.wikimedia.org/math/7/9/6/79692aac6f7d2bb15b2dee9d9fde32a5.png Note: A(t) is the amount function and a(t) is the accumulation function.
xcorect
10-08-2008, 10:10 AM
Thank u machan airtel
Airtel
10-08-2008, 10:16 AM
Thank u machan airtel
you r Welcome machanz,
m doo
10-08-2008, 11:42 AM
Minissunta gini gedi denda neda set wenne? :confused: :confused:
sirajstc
10-08-2008, 11:42 AM
Minissunta gini gedi denda neda set wenne? :confused: :confused:
:lol::lol::P
xcorect
10-08-2008, 11:54 AM
Minissunta gini gedi denda neda set wenne? :confused: :confused:
Pissuda heenenwath ehema hithanne na
oyage sigiyanam cha wage :P
hena loku file ekakne
sigiya open wenna patta welawak yanawa
oka aththatama sigi yakda :P
xcorect
10-08-2008, 11:54 AM
:lol::lol::P
Umba moko hinawenne :growl:
m doo
10-08-2008, 11:56 AM
Pissuda heenenwath ehema hithanne na
oyage sigiyanam cha wage :P
hena loku file ekakne
sigiya open wenna patta welawak yanawa
oka aththatama sigi yakda :P
Its ok dude.... but oyage ekanam maxxa... patta graphics... matath ekak hadala denda berida brother? lol
xcorect
10-08-2008, 12:01 PM
Its ok dude.... but oyage ekanam maxxa... patta graphics... matath ekak hadala denda berida brother? lol
Mokakda mata molawan kiyanne :confused:
m doo
10-08-2008, 12:02 PM
Mokakda mata molawan kiyanne :confused:
molawan? :confused: :confused: sinhalada?
m doo
10-08-2008, 12:06 PM
Mokakda mata molawan kiyanne :confused:
ok ok now i understood... use spectacles.... its mita molawagena... not mata molawagena.... that means atha mita molawanawa kiyanne...
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