Managing money can involve calculations to understand the worth of an investment. To arrive at a result, calculations can be done in a different way or by using a different formula.
Even the same formula can be used differently to arrive at a certain result. Here are a few commonly used money management formulas. Use an excel sheet to do these.
1. Compound Interest
I want to take a loan of Rs 1 lakh to buy a used car. How much will the car cost me at an annual interest rate of 8 per cent for four years?
The compound interest formula can be used here to calculate the final cost, which would include the loan amount and the interest paid. The amount that is actually paid for Rs 1 lakh is Rs 1,36,048.90. The total amount of interest charged for borrowing Rs 1 lakh is Rs 36,048.90.
Formula: Future value = P(1 + R)^N
Type in: =100000(1+8%)^4 and hit enter. P: amount borrowed; R: rate of interest; N: time in years.
Also used for: Calculating the maturity value on lumpsum investment (bank fixed deposits and National Savings Certificate, for example) over a fixed period at a certain rate of interest.
2. Compound Annualised Growth Rate
I had invested Rs 1 lakh in a mutual fund five years back at an NAV of Rs 20. Now the NAV is Rs 70. How should I calculate my returns on an annual basis?
Compound annualised growth rate (CAGR) will be used here to calculate the growth over a period of time. The gain of Rs 50 over five years on the initial NAV of Rs 20 is a simple return of 250 per cent (50/20 * 100). However, it should not be construed as 50 per cent average return over five years.
Formula: CAGR = {[(M/I)^(1/N)] ? 1} * 100
Type in: =(((70/20)^(1/5))-1)*100 and hit enter. M: maturity value; I: initial value; N: time in years. CAGR here is 28.47%.
Also used for: Calculating the annualised returns on a lumpsum investment in shares.
3. Internal Rate of Return
I paid Rs 18,572 every year on a moneyback insurance policy bought 20 years back. Every fifth year, I received Rs 40,000 back and Rs 4.5 lakh on maturity. What was my rate of return?
The internal rate of return (IRR) has to be calculated here. It is the interest rate accrued on an investment that has outflows and inflows at the same regular periods.
In the excel page type Rs 18,572 as a negative figure (-18572), as it is an outflow, in the first cell. Paste the same figure till the twentieth cell.
Then, as every fifth year has an inflow of Rs 40,000, type in Rs 21,428 (40,000-18,572) in every fifth cell. In the twentieth cell, type in ?18572. In the twenty first cell, type in Rs 4,50,000, which is the maturity value of the policy.
Then click on the cell below it and type: = IRR(A1:A21) and hit enter.
5.28% will show in the cell. This is your internal rate of return.
Also used for: Calculating returns on insurance endowment policies.
4. XIRR
bought 500 shares on 1 January 2007 at Rs 220, 100 shares on 10 January at Rs 185 and 50 shares at Rs 165 on 18 May 2008. On 21 June 2008, I sold off all the 650 shares at Rs 655. What is the return on my investment?
XIRR is used to determine the IRR when the outflows and inflows are at different periods. Calculation is similar to IRR's. Transaction date is mentioned on the left of the transaction.
In an excel sheet type out the data from the top most cell as shown here. Outflows figures are in negative and inflows in positive. In the cell below with the figure 4,25,750, type out
=XIRR (B1:B4,A1:A4)*100
Hit enter. The cell will show 122.95%, the total return on investment.
Also used for: Calculating MF returns, especially SIP, or that for unit-linked insurance plans.
5. Post-Tax Return
My father wants a bank FD at 10 per cent return for five years. He pays income tax. What will be the returns?
The post-tax return has to be calculated here. The idea is to know the final returns on a fully taxable income. Interest income from the bank is taxed as per your tax slab.
Formula: ROI ? (ROI * TR)=Post-tax return
Type in: =10 ? (10 * 30.9%) and hit enter. You will get 6.91%
ROI: rate of interest; TR: tax rate (depends on tax slab)
Also used for: Calculating post-tax returns of national savings certificates, post-office time deposits, and Senior Citizens' Savings Scheme.
Source:rediff |
Online
Moneycontrol 
Popular Boarders 7days