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Return and Variance 7
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Lecture1.1
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Lecture1.2
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Lecture1.3
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Lecture1.4
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Lecture1.5
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Lecture1.6
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Lecture1.7
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Solving Equations 5
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Lecture2.1
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Lecture2.2
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Lecture2.3
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Lecture2.4
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Lecture2.5
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Capital Allocation Line 6
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Lecture3.1
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Lecture3.2
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Lecture3.3
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Lecture3.4
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Lecture3.5
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Lecture3.6
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Diversification 3
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Lecture4.1
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Lecture4.2
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Lecture4.3
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Investment Sets 3
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Lecture5.1
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Lecture5.2
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Lecture5.3
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Portfolios 7
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Lecture6.1
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Lecture6.2
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Lecture6.3
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Lecture6.4
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Lecture6.5
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Lecture6.6
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Lecture6.7
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Capital and Security Market Lines 3
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Lecture7.1
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Lecture7.2
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Lecture7.3
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Arbitrage 3
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Lecture8.1
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Lecture8.2
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Lecture8.3
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Dividend Discount Model 2
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Lecture9.1
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Lecture9.2
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Fixed Income 4
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Lecture10.1
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Lecture10.2
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Lecture10.3
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Lecture10.4
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Duration and Immunization 4
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Lecture11.1
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Lecture11.2
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Lecture11.3
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Lecture11.4
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Creating the Line
Let’s first set up an equation that will print the return and standard deviation of a 2 asset portfolio.
def CAL(ret1,ret2,var1,var2,cov,p1,p2):
retEquation = (p1*ret1+p2*ret2)
variance = p1**2*var1+p2**2*var2+2*p1*p2*cov
print(retEquation)
print(variance)
print("")
Now, let’s simulate a stock with expected return of 8% and a risk-free asset like government bonds with an expected return of 3%. Because it is risk free, it has no variance, nor does it have a covariance with the stock. We will loop through 1%-100% by using a for loop, and dividing the number by 100.
for x in range(0,101):
fract = x/100
CAL(.03,.08,0,.35,0,1-fract,fract)
The first weight goes into the risk-free asset, and the stock gets whatever is left over (hence 1-fract)
Challenge
Create a function which creates two arrays representing the returns and standard deviations at any point, and then plot them with standard deviation on the x-axis.
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Introduction
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Plotting the Line