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You have the following information on two stocks:

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You have the following information on two stocks:

You have the following information on two stocks:

State of economyProbabilityRates of Return: XRates of Return: Y
Boom0.350.080.05
Good0.300.100.10
Poor0.350.120.30

You are required to calculate:

iii. Portfolio standard deviation of X and Y assuming those two are equally weighted.

i. Expected return of the above two stocks.

ii. Standard deviation of two stocks.


Solution

i. Expected Return e22e9aef dda7 4699 9b28 2eb59a087f4b of Stock X and Stock Y

image 141

For Stock X:

image 142
image 144

For Stock Y:

image 143
image 146

ii. Standard Deviation (fbd20cfa 8d1b 49c6 86ea 4ad48af0c2ca) of Stock X and Stock Y

image 145

For Stock X:

  • Boom: b0f589ad 1619 47f3 81c0 3c42e6b8b648
  • Good: 1cef383f 9faa 48e9 abb1 f590e91ef8af
  • Poor: 82a61f13 7c1d 4c3a a14f af7c02648b5d
image 148
image 147

For Stock Y:

  • Boom: 08d4a45e 67d1 4386 8e72 86b9acd3eb71
  • Good: 1427c5f8 39cd 4884 b062 cebf3515bd5e
  • Poor: 9794ceaf 8d22 4a80 92a0 39d6f100701f
image 149
image 151

iii. Portfolio Standard Deviation (89cb38e5 5cc2 4f41 8c26 9705a9a922d6)

Since the stocks are equally weighted:

  • 15fd3a51 621a 44ee a0b1 a9faebed81bf
  • 762015ee 7a52 478d 96c5 1bd29bce1c99

Method: State-by-State Portfolio Return (e587d1cd bbbb 4c8c 859e ed184ec758fb

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)

  1. Calculate Portfolio Return in each state:
    • Boom: 0f55de6e 010d 4dea bae7 35e4490e8b70
    • Good: 7e3e24d6 a90c 4c4a 93b3 ca31d03d1d57
    • Poor: 4cc945ee 3c3d 4d22 921c 7e7b01a023e2
  2. Expected Portfolio Return 152b7c1e b601 497c 9830 3973cd46768d:
image 153
image 152
  1. Portfolio Variance (7cdb0c80 3918 496a a326 6105d18212b0):
    • Boom: 2c8fe624 6b91 400b 82e8 07a7f1a76a00
    • Good: 5ae9aeda 257d 49c5 a056 0f9c178c43b3
    • Poor: 4349f0f5 30b7 4604 8f4d 2a716086bc4a
image 150
  1. Portfolio Standard Deviation (8d0e80e8 5cf4 4c56 b910 d67b8ff2e8bf):
image 154

Summary Table

MetricStock XStock YPortfolio (Equally Weighted)
Expected Return10.00%15.25%12.63%
Standard Deviation1.67%11.01%6.30%

আরো পড়ুন:

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