Annual Installment for Sinking Fund Solution

STEP 0: Pre-Calculation Summary
Formula Used
Annual Installment = Sinking Fund*Rate of Interest/((1+Rate of Interest)^Number of Years Money is Invested-1)
Ia = S*Ir/((1+Ir)^T-1)
This formula uses 4 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.
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.
Rate of Interest - The Rate of Interest is the percent of principal amount charged for the due period.
Number of Years Money is Invested - The Number of Years Money is Invested is the total number of years for which the money is invested.
STEP 1: Convert Input(s) to Base Unit
Sinking Fund: 8000 --> No Conversion Required
Rate of Interest: 10 --> No Conversion Required
Number of Years Money is Invested: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ia = S*Ir/((1+Ir)^T-1) --> 8000*10/((1+10)^3-1)
Evaluating ... ...
Ia = 60.1503759398496
STEP 3: Convert Result to Output's Unit
60.1503759398496 --> No Conversion Required
FINAL ANSWER
60.1503759398496 60.15038 <-- 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 for Sinking Fund Formula

​LaTeX ​Go
Annual Installment = Sinking Fund*Rate of Interest/((1+Rate of Interest)^Number of Years Money is Invested-1)
Ia = S*Ir/((1+Ir)^T-1)

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 for Sinking Fund?

Annual Installment for Sinking Fund calculator uses Annual Installment = Sinking Fund*Rate of Interest/((1+Rate of Interest)^Number of Years Money is Invested-1) to calculate the Annual Installment, The Annual Installment for 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 that any increase in the amount reflects reasonable earnings through the date the amount is paid. Annual Installment is denoted by Ia symbol.

How to calculate Annual Installment for Sinking Fund using this online calculator? To use this online calculator for Annual Installment for Sinking Fund, enter Sinking Fund (S), Rate of Interest (Ir) & Number of Years Money is Invested (T) and hit the calculate button. Here is how the Annual Installment for Sinking Fund calculation can be explained with given input values -> 60.15038 = 8000*10/((1+10)^3-1).

FAQ

What is Annual Installment for Sinking Fund?
The Annual Installment for 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 that any increase in the amount reflects reasonable earnings through the date the amount is paid and is represented as Ia = S*Ir/((1+Ir)^T-1) or Annual Installment = Sinking Fund*Rate of Interest/((1+Rate of Interest)^Number of Years Money is Invested-1). 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, The Rate of Interest is the percent of principal amount charged for the due period & The Number of Years Money is Invested is the total number of years for which the money is invested.
How to calculate Annual Installment for Sinking Fund?
The Annual Installment for 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 that any increase in the amount reflects reasonable earnings through the date the amount is paid is calculated using Annual Installment = Sinking Fund*Rate of Interest/((1+Rate of Interest)^Number of Years Money is Invested-1). To calculate Annual Installment for Sinking Fund, you need Sinking Fund (S), Rate of Interest (Ir) & Number of Years Money is Invested (T). With our tool, you need to enter the respective value for Sinking Fund, Rate of Interest & Number of Years Money is Invested 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 Sinking Fund, Rate of Interest & Number of Years Money is Invested. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Annual Installment = Coefficient of Sinking Fund*Sinking Fund
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