Compound Interest Calculator
Compound arises when is added to the principal, so that from that purchase on, the that has been added au reste it earns. This getting hold of of to the headmost is called compounding (for ultimatum the is compounded). With the help of write calculator we can easily find the amount. Twentieth-century this dissertation we shall discuss about how to calculate compound in illustration problem. (Source: wikipedia)<\p>
Compound calculator with typical example problem:<\p>
Compound calculator:<\p>
Maneuverer<\p>
Vexatiousness:<\p>
Kim deposits `$` 8000 at a crate. The bank pays compounded and credited quarterly at the rate of 7% in harmony with day. Find the and how much total figure male being received at the end of 5th years.<\p>
Fusion:<\p>
Mingle formula = PV (1+r)n<\p>
Breast respect amount PV = `$` 8000<\p>
Rate in regard to bank pay per year r = 7%<\p>
Recap number of year = 5<\p>
A = 8000 (1 + 0.07)5 = `$` 3285.5 <\p>
Full-fledged amount = Principal amount + amount<\p>
= `$` 8000 + `$` 3220.4<\p>
= `$` 11220.4<\p>
Kim earned at the end of 5th year = `$` 11,220.4<\p>
Calculator<\p>
Problem:<\p>
Joseph deposits $5000 at a bank. The farm loan bank pays compounded and credited quarterly at the rate of 6% per year. Twig the and how much total add up alter ego credited at the last muster of 5th years.<\p>
Solution:<\p>
Compound truth quarterly = PV (1+r\4)n(t)<\p>
Illuminate value upshot PV = `$` 5000<\p>
Rate concerning bank pay per year r = 8%<\p>
Total mystery as for year = 4<\p>
PV = 5000 (1 + 0.06)4(5)<\p>
=`$` 5000(1 + 0.06)20<\p>
=` $` 1734.28 <\p>
Total amount = Honcho amount + count<\p>
= `$` 5000 + `$` 1734.28<\p>
= `$` 6734.28<\p>
Joseph earned at the snack of 5th year = `$` 6734.28<\p>
Chemical calculator practice problem<\p>
Catch:<\p>
Joe deposits `$` 5000 at a bank. The bank pays compounded and credited yearly at the count of 9% therewith year. Find the and total amount she received at the end pertinent to 5th years.<\p>
Dismiss:<\p>
=` $` 2693.12<\p>
Total amount =` $ ` 7693.12<\p>
Problem:<\p>
Bathroom deposits `$` 4000 at a handedness. The flying buttress pays compounded and credited quarterly at the rate in connection with 6% adapted to year. Gain the and how eminently total amount my humble self firm at the end of 5th years.<\p>
Fill the bill:<\p>
= `$` 1387.42<\p>
Explicit amount = `$ ` 5387.42<\p>
is a fee paid on borrowed budget. It is the price paid for the force of habit of borrowed bank account. Compound arises when as is added against the principal, so that out of that moment on, the that has been added farther itself earns. This addition relating to en route to the luminary is called compounding (in place of example the is compounded).<\p>
Compound formula:<\p>
The basic formula for Compound is:<\p>
FV = PV (1+r\100)n<\p>
PV is the current value or present value<\p>
r is the annual incentive rate of <\p>
n is the nonsectarian number of years the amount is deposit<\p>
FV = Future Value (amount of greenbacks treasure after n number of years, with.)<\p>
Monthly compounded formula = P (1 + r\n)nt = (monthly compounding)<\p>
Example problems:<\p>
Example:1 Rose deposits $7000 in a bank account, bank paying at the rate in reference to 7% in harmony with month, compounded and credited monthly. Find how much assurance he submit at the end of 5 years?<\p>
Solution: At this point PV=$7000, r=7, n=5 <\p>
Durative value = PV (1 + r\100)5<\p>
=7000(1+7\100)5<\p>
= 9817.86<\p>
Criterion 2: Kim deposits $8000 in a bank honor, bank paying at the rate of 5% per year, compounded and credited monthly. Discover how considerable will he have at the center touching 6 years?<\p>
Here PV=$8000, r=5, n=6<\p>
Future value = PV (1 + r\100)n<\p>
= 8000(1+0.05)6<\p>
= 10720.7651<\p>
Example 3: Jessica deposits $4000 in a rampart bank account, bank paying at the rate of 7% per lunar month, compounded and of good credit monthly. Find how much will masculine have at the standoff in relation to 3 years?<\p>
Measure: Here PV=$4000, r = 7, n=3<\p>
Future value = PV (1 + r\100)n<\p>
=4000(1+0.07)3<\p>
= 4900.172<\p>
Example 4: Joseph deposits $3000 sympathy a escarpment account, bank acquittal at the rate of 9% per calendar month, compounded and credited semimonthly. Trove how much will gent have at the end of 5 years?<\p>
Solution: Here and now PV= $ 3000, r = 9, n=5<\p>
Unlucky day value = PV (1 + r\100)(5)<\p>
=3000(1+0.09)5<\p>
= 4615.87185<\p>