Skip to main content

HOW TO RETIRE EARLY

     



      Everybody wants to achieve financial independence as early as possible.  Once we stopped working for others, we can live our lives fully - soul-satisfying
    Suppose one is employed and his lively-hood totally depends on salary and no other income or asset.  How can he plan for early retirement?  I will give you one formula that will empower you to retire early.  Yes, math can change your life.

    Say, S is your yearly savings and E is your yearly expenses.  First, we have to find 'savings to expenses ratio'- STE or S/E.  Suppose your savings is one lakh per year and the expenses is 6 lakhs per year,
STE = 1/6=0.166
If  savings is 20 lakh and expenses are only 10 lakh, then,
S/E =20/10=2.

     We got STE.  Let us assume that you invest your savings in a financial instrument that gives a rate of interest 'r'.  After 't' years, you will get a nest-egg or bulk money which you can invest again to get handsome monthly returns.  (Let us assume that you maintain STE properly.  As the expenses increase with years, savings should also increase).

    How many years you have to save?  What is 't'?
The great formula is :
t = log (25r+STE/STE+Br/t)/Log (1+r)
'B' is the balance amount you already have. I will give you some worked-out examples in table form below.  r is taken as 6%

STE              t- number of years
                        for retirement
0.10                      48
0.25                      33
0.50                      24
0.75                      19
1                           16
2                           9.6
3                           6.9
5                           4.5
10                         2.4

What we understand from the table.
1. If you spend 10 times what you save each year (STE=0.1), you may have to work forever (48 years), if no pension scheme.
2. Even a small improvement in your STE ratio can make a big difference.
3. Let us consider one hypothetical example.  Say, you are a bachelor.  You spend only one lakh per year.  But your income is very high.  Hence you save 10 lakh per year.  Now, your STE is 10.  The above table says you require only 2.4 years for retirement. (is it?).  After 2.4 years you will have more than 25 lakh (INR) as a nest egg.  You can invest it in a bank deposit and get a monthly return of more than 10000INR and above one lakh per year.  Now, you can retire and spend as usual.  But you have to think innovatively to cover up the inflation (rising prices).
    Retiring in two and half years may be far-fetched.  But you can safely retire in 20 to 25 years if you follow our STE rule.
    If you have good bank balance, passive income like rent, immovable and movable assets,  it will further accelerate your retirement.
    Retire early - live your dream.              

Comments

Popular posts from this blog

LISSAJOUS FIGURES

  Definition:  "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures".      We know sine wave motion and circular motion is basically same.  Hence we draw two circles A and B perpendicular to each other.  The circle B rotates twice faster than circle A.  That is, frequency of circle B is two times than that of A.        A particle at the intersection of two circles is subjected to two sine wave motion   A and B at 90 degree simultaneously.  The particle will describe figures depending on the frequency and phase of A and B .  In our case, the ratio of frequency is  1:2 and the two waves are in phase.        To draw lissajous figures :  A moving point in both the circles are chosen.   Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two.  Hence the points are marked on the circles according to their speed.  Then straight lines

THE PARABOLA

          A jet of water shooting from a hose pipe will follow a parabolic path.  What is the so special about parabola.    Y= x^2 Draw a graph for the above equation.  It will result in a parabola.  This parabola is also called unit parabola.  Any equation involving square will yield a parabola. Example:  Y = 2x^2 +3x+3 (also called quadratic equation)    X= 2 and -2, both  satisfies the equation 4 = X^2.  Parabolic equations always have two solutions.     Any motion taking place freely under gravity follows parabolic path. Examples:   An object dropped from a moving train,   A bomb dropped from flying plane,  A ball kicked upwards.      If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point.  This fact is made use of in Dish Antenna, Telescope mirrors, etc.      Inverted parabola shape is used in the construction of buildings and bridges.  Because the shape is able to bear more weight.      A plane

CASINO'S GAME

           Let us find out how the casino survives with mathematics.      Say, your friend invite you for a game of dice.  You must bet (wager) 2 dollars.  If you roll 'six' you will get back 8 dollars.  The game will go on for 30 rounds.  All sounds good.      The probability of rolling 'six' is 1/6.  Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5.  That is, you are expected to win 5 rounds out of 30.  Hence your gain will be 5 * 8 =40 dollars.  ok.  This also implies that you will loose 25 rounds.  Hence your loss will be 25*2 =50 dollars.  Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars.  There will be a loss of -1/3 or 0.33 dollars per round.  It is not a fair game.     Let us make a simple formula to calculate  'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect