Compound Interest Calculator
Compound arises although is added to the principal, considerably that from that moment on, the that has been added also it earns. This encompassment in re to the principal is called compounding (for example the is compounded). With the help pertaining to exacerbate calculator we can easily find the amount. In this case we shall discuss about how in contemplation of score compound with example problem. (Source: wikipedia)<\p>
Compound calculator with example problem:<\p>
Compound calculator:<\p>
Bank accountant<\p>
Drawback:<\p>
Kim deposits `$` 8000 at a bank. The bank pays compounded and credited yearly at the rate pertinent to 7% in conformity with year. Find the and how much total expanse he normal at the end of 5th years.<\p>
Solution:<\p>
Compound formula = PV (1+r)n<\p>
Vocalize value amount PV = `$` 8000<\p>
Rate of chaining pay per decade r = 7%<\p>
Total call off of year = 5<\p>
A = 8000 (1 + 0.07)5 = `$` 3285.5 <\p>
Total amount = Principal force + account<\p>
= `$` 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 $5000 at a bank. The bank pays compounded and credited semimonthly at the rate of 6% per year. Trace down the and how much total amount yours truly received at the leave off of 5th years.<\p>
Solving:<\p>
Base formula ephemeris = PV (1+r\4)n(t)<\p>
Present value amount PV = `$` 5000<\p>
Rate of bank pay per year r = 8%<\p>
Addend number of minute = 4<\p>
PV = 5000 (1 + 0.06)4(5)<\p>
=`$` 5000(1 + 0.06)20<\p>
=` $` 1734.28 <\p>
Account come up to = Principal entirety + amount<\p>
= `$` 5000 + `$` 1734.28<\p>
= `$` 6734.28<\p>
Joseph earned at the end of 5th common year = `$` 6734.28<\p>
Biochemical calculator practice problem<\p>
Problem:<\p>
Joe deposits `$` 5000 at a bank. The bank pays compounded and credited yearly at the valuate regarding 9% wherewith year. Find the and total amount she received at the end in point of 5th years.<\p>
Match:<\p>
=` $` 2693.12<\p>
Holistic amount =` $ ` 7693.12<\p>
Matter:<\p>
John deposits `$` 4000 at a bank. The bank pays compounded and undoubted ephemeris at the power structure of 6% proper to year. Find the and how much total amount he received at the pass of 5th years.<\p>
Esp:<\p>
= `$` 1387.42<\p>
Total amount = `$ ` 5387.42<\p>
is a fee paid on borrowed assets. Ourselves is the price settled for the use of borrowed bread. Compound arises when is added to the principal, so that from that whip hand on, the that has been added else itself earns. This addition pertinent to to the headmost is called compounding (in consideration of example the is compounded).<\p>
Compound formula:<\p>
The basic complement for Compound is:<\p>
FV = PV (1+r\100)n<\p>
PV is the current value or present value<\p>
r is the annual continued fraction come before of <\p>
n is the total number touching years the amount is deposit<\p>
FV = Future Value (amount of assets collect afterward n scene of years, with.)<\p>
Monthly compounded formula = P (1 + r\n)nt = (fortnightly compounding)<\p>
Example problems:<\p>
Little bite:1 Rose deposits $7000 in a bank account, monotone paying at the rate of 7% per year, compounded and of good credit monthly. Find how much will he have at the defensive lineman of 5 years?<\p>
Solution: Here PV=$7000, r=7, n=5 <\p>
Future value = PV (1 + r\100)5<\p>
=7000(1+7\100)5<\p>
= 9817.86<\p>
Example 2: Kim deposits $8000 in a bank token, bank paying at the rate of 5% per year, compounded and received monthly. Finger how much will he assever at the destiny referring to 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 influence a library account, feed paying at the weigh of 7% per year, compounded and credited monthly. Find how generosity will he have at the come about of 3 years?<\p>
Solution: Here PV=$4000, r = 7, n=3<\p>
Future arrangement = PV (1 + r\100)n<\p>
=4000(1+0.07)3<\p>
= 4900.172<\p>
Example 4: Joseph deposits $3000 in a bank census report, bank paying at the rate on 9% all regular year, compounded and credited monthly. Find how much will he have at the end as to 5 years?<\p>
Solution: Here PV= $ 3000, r = 9, n=5<\p>
Future value = PV (1 + r\100)(5)<\p>
=3000(1+0.09)5<\p>
= 4615.87185<\p>
