Annual Installment given Sinking Fund Solution

STEP 0: Pre-Calculation Summary
Formula Used
Annual Installment = Coefficient of Sinking Fund*Sinking Fund
Ia = Ic*S
This formula uses 3 Variables
Variables Used
Annual Installment - Annual Installment means a series of amounts to be paid annually over a predetermined period of years in substantially equal periodic payments.
Coefficient of Sinking Fund - Coefficient of Sinking Fund is the ratio of the annual installment required to that of the amount of the sinking fund.
Sinking Fund - Sinking Fund is the amount that has to be set aside out of the gross income so that at the end of the lifetime of the building, the fund should accumulate to the initial cost of the building.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Sinking Fund: 0.075 --> No Conversion Required
Sinking Fund: 8000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ia = Ic*S --> 0.075*8000
Evaluating ... ...
Ia = 600
STEP 3: Convert Result to Output's Unit
600 --> No Conversion Required
FINAL ANSWER
600 <-- Annual Installment
(Calculation completed in 00.004 seconds)

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Valuation Engineering Calculators

Coefficient of Annual Sinking Fund
​ LaTeX ​ Go Coefficient of Sinking Fund = Rate of Interest/((1+Rate of Interest)^Number of Years Money is Invested-1)
Coefficient of Annual Sinking Fund given Sinking Fund
​ LaTeX ​ Go Coefficient of Sinking Fund = Annual Installment/Sinking Fund
Annual Installment given Sinking Fund
​ LaTeX ​ Go Annual Installment = Coefficient of Sinking Fund*Sinking Fund
Sinking Fund for Buildings
​ LaTeX ​ Go Sinking Fund = Annual Installment/Coefficient of Sinking Fund

Annual Installment given Sinking Fund Formula

​LaTeX ​Go
Annual Installment = Coefficient of Sinking Fund*Sinking Fund
Ia = Ic*S

What is the Purpose of a Sinking Fund?

A sinking fund is a strategic way to save money by setting aside a little bit each month. Sinking funds work like this: Every month, you'll set money aside in one or multiple categories to be used at a later date. With a sinking fund, you save up a small amount each month for a certain block of time before you spend.

What are the Advantages of Sinking Funds?

1. Brings in investors: Investors are very well aware that companies or organizations with a large amount of debt are potentially risky. However, once they know that there is an established sinking fund, they will see a certain level of protection for them so that in the case of a default or bankruptcy, they will still be able to get their investment back.
2. The possibility of lower interest rates: A company with poor credit ratings will find it difficult to attract investors unless they offer higher interest rates. A sinking fund offers alternative protection for investors so that companies can offer lower interest rates.
3. Stable finances: A company’s economic situation is not always definite, and certain financial issues can shake its stable ground. However, with a sinking fund, the ability of a company to repay its debts and buy back bonds will not be compromised.

How to Calculate Annual Installment given Sinking Fund?

Annual Installment given Sinking Fund calculator uses Annual Installment = Coefficient of Sinking Fund*Sinking Fund to calculate the Annual Installment, The Annual Installment given Sinking Fund formula is defined as a series of amounts to be paid annually over a predetermined period of years in substantially equal periodic payments, except to the extent any increase in amount reflects reasonable earnings through the date amount is paid. Annual Installment is denoted by Ia symbol.

How to calculate Annual Installment given Sinking Fund using this online calculator? To use this online calculator for Annual Installment given Sinking Fund, enter Coefficient of Sinking Fund (Ic) & Sinking Fund (S) and hit the calculate button. Here is how the Annual Installment given Sinking Fund calculation can be explained with given input values -> 600 = 0.075*8000.

FAQ

What is Annual Installment given Sinking Fund?
The Annual Installment given Sinking Fund formula is defined as a series of amounts to be paid annually over a predetermined period of years in substantially equal periodic payments, except to the extent any increase in amount reflects reasonable earnings through the date amount is paid and is represented as Ia = Ic*S or Annual Installment = Coefficient of Sinking Fund*Sinking Fund. Coefficient of Sinking Fund is the ratio of the annual installment required to that of the amount of the sinking fund & Sinking Fund is the amount that has to be set aside out of the gross income so that at the end of the lifetime of the building, the fund should accumulate to the initial cost of the building.
How to calculate Annual Installment given Sinking Fund?
The Annual Installment given Sinking Fund formula is defined as a series of amounts to be paid annually over a predetermined period of years in substantially equal periodic payments, except to the extent any increase in amount reflects reasonable earnings through the date amount is paid is calculated using Annual Installment = Coefficient of Sinking Fund*Sinking Fund. To calculate Annual Installment given Sinking Fund, you need Coefficient of Sinking Fund (Ic) & Sinking Fund (S). With our tool, you need to enter the respective value for Coefficient of Sinking Fund & Sinking Fund and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Annual Installment?
In this formula, Annual Installment uses Coefficient of Sinking Fund & Sinking Fund. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Annual Installment = Sinking Fund*Rate of Interest/((1+Rate of Interest)^Number of Years Money is Invested-1)
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