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By
Guru Dayal Kumar
MA Economics
Central University of South Bihar
Email-gurudayal1996@gmail.com
1. An efficient market is one in which these are
large number of profit hungry investors, who are
actively and independently carried out stock
research such that
οƒ˜ Current stock price reflects all available
information
οƒ˜ New informers come to the market on random
basis and affect stock price instantly_.Hence in
such a market nobody can make super normal
profit.
2. FAMA advocated there level of market
efficiency
 Strong form
 Semi strong form
 Weak form
 Weak form-current stock price reflects all stock
market information i.e. (price and volume) so
technical analysis is useless.
 Semi strong- Current stock price reflects all
publically available information, hence both
fundamental analysis & technical analysis are
Useless.
 Strong form- Current stock price reflects both
publically available information as well as
insider information's ( even insider trading is
not possible).
A. Weak form
οƒ˜ Run test
οƒ˜ Autocorrelation test
οƒ˜ Serial correlation test
B. Semi strong form
οƒ˜ Run test
Day Market Price
1 220
2 225 +1
3 235 +1
4 210 -2
5 205 -2
6 215 +3
7 200 -4
8 220 +5
9 225 +5
10 230 +5
11 220 -6
12 250 +7
13 240 -8
14 245 +9
15 250 +9
16 260 +9
17 265 +9
18 268 +9
19 260 -10
20 250 -10
Plus(+)= 12
Minus(-)=7
Run (r)=10
This test focuses on direction of change in the price
not in the magnitude of change. A price rise/fall
represented by a +/-.
 A run refer to a series a price change in the
same direction. We introduce the following
standard notations.
 n1 = no of plus
 n2 = no of minus
 r= π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘Ÿπ‘’π‘›π‘ 
 For market,
 To the efficient π‘Ÿ should lie close to the
Mean(πœ‡) .
 For this purpose we create the range
 lower limit (L)= πœ‡ βˆ’ (𝑑 βˆ— 𝜎)……………(i)
 Upper limit (U)= πœ‡ + (𝑑 βˆ— 𝜎)……………(ii)
 Average Runs (πœ‡) is calculated as
 πœ‡ =
2𝑛1𝑛2
𝑛1+𝑛2
+1………………………….(iii)
 Standard deviation (𝜎)is calculated as under
 𝜎 =…
(πœ‡βˆ’1)βˆ—(πœ‡βˆ’2)
𝑛1+𝑛2βˆ’1
……………………..(iv)
 n1= 12
 n2= 7
 π‘Ÿ = 10
 From equation (iii),
 πœ‡ = 9.84
 From Equation(iv),
 𝜎 = 1.962
The value of β€œt” depends upon two things
οƒ˜ Level of significance (Given, approx =5%)
οƒ˜ Degrees of freedom, dof = n1+n2+-1
In this example dof = 12+7-1 = 18
οƒΌ Refer β€œt” distribution table at
18 dof & 5% level of significance
Hence the value of β€œt”= 2.10 L
From the equation (i)
Lower limit = 5.72
From equation (ii)
Upper limit = 13.96
Yes, market is weak form efficiency.
Since, Actual runs(10) within the limit,
Hence the market is weak form efficiency.
Thank You

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Efficient market hypothesis

  • 1. By Guru Dayal Kumar MA Economics Central University of South Bihar Email-gurudayal1996@gmail.com
  • 2. 1. An efficient market is one in which these are large number of profit hungry investors, who are actively and independently carried out stock research such that οƒ˜ Current stock price reflects all available information οƒ˜ New informers come to the market on random basis and affect stock price instantly_.Hence in such a market nobody can make super normal profit.
  • 3. 2. FAMA advocated there level of market efficiency  Strong form  Semi strong form  Weak form
  • 4.  Weak form-current stock price reflects all stock market information i.e. (price and volume) so technical analysis is useless.  Semi strong- Current stock price reflects all publically available information, hence both fundamental analysis & technical analysis are Useless.  Strong form- Current stock price reflects both publically available information as well as insider information's ( even insider trading is not possible).
  • 5. A. Weak form οƒ˜ Run test οƒ˜ Autocorrelation test οƒ˜ Serial correlation test B. Semi strong form οƒ˜ Run test
  • 6. Day Market Price 1 220 2 225 +1 3 235 +1 4 210 -2 5 205 -2 6 215 +3 7 200 -4 8 220 +5 9 225 +5 10 230 +5 11 220 -6 12 250 +7 13 240 -8 14 245 +9 15 250 +9 16 260 +9 17 265 +9 18 268 +9 19 260 -10 20 250 -10
  • 7. Plus(+)= 12 Minus(-)=7 Run (r)=10 This test focuses on direction of change in the price not in the magnitude of change. A price rise/fall represented by a +/-.
  • 8.  A run refer to a series a price change in the same direction. We introduce the following standard notations.  n1 = no of plus  n2 = no of minus  r= π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘Ÿπ‘’π‘›π‘ 
  • 9.  For market,  To the efficient π‘Ÿ should lie close to the Mean(πœ‡) .  For this purpose we create the range  lower limit (L)= πœ‡ βˆ’ (𝑑 βˆ— 𝜎)……………(i)  Upper limit (U)= πœ‡ + (𝑑 βˆ— 𝜎)……………(ii)
  • 10.  Average Runs (πœ‡) is calculated as  πœ‡ = 2𝑛1𝑛2 𝑛1+𝑛2 +1………………………….(iii)  Standard deviation (𝜎)is calculated as under  𝜎 =… (πœ‡βˆ’1)βˆ—(πœ‡βˆ’2) 𝑛1+𝑛2βˆ’1 ……………………..(iv)
  • 11.  n1= 12  n2= 7  π‘Ÿ = 10  From equation (iii),  πœ‡ = 9.84  From Equation(iv),  𝜎 = 1.962
  • 12. The value of β€œt” depends upon two things οƒ˜ Level of significance (Given, approx =5%) οƒ˜ Degrees of freedom, dof = n1+n2+-1 In this example dof = 12+7-1 = 18 οƒΌ Refer β€œt” distribution table at 18 dof & 5% level of significance Hence the value of β€œt”= 2.10 L
  • 13. From the equation (i) Lower limit = 5.72 From equation (ii) Upper limit = 13.96 Yes, market is weak form efficiency. Since, Actual runs(10) within the limit, Hence the market is weak form efficiency.