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Various risks in the industry include operational, financial, strategic, compliance, and reputational risks.
Operational risk: disruptions in supply chain, technology failures
Financial risk: market fluctuations, credit risk
Strategic risk: competition, changes in industry trends
Compliance risk: regulatory changes, legal issues
Reputational risk: negative publicity, social media backlash
Different duration measures in bonds include Macaulay duration, modified duration, and effective duration.
Macaulay duration measures the weighted average time until a bond's cash flows are received.
Modified duration measures the sensitivity of a bond's price to changes in interest rates.
Effective duration adjusts for changes in cash flows due to embedded options in bonds.
For example, a bond with a Macaulay duration of ...
Modified duration is associated with interest sensitivity.
Modified duration measures the sensitivity of a bond's price to changes in interest rates
It provides an estimate of the percentage change in price for a 1% change in yield
Higher modified duration indicates higher interest rate risk
For example, a bond with a modified duration of 5 will see a 5% price decrease if interest rates rise by 1%
Calculating mean and variance for a dataset
To find the mean, add up all the values in the dataset and divide by the total number of values
To find the variance, subtract the mean from each value, square the result, add up all the squared differences, and divide by the total number of values minus 1
Example: Dataset {2, 4, 6, 8, 10}, Mean = (2+4+6+8+10)/5 = 6, Variance = ((2-6)^2 + (4-6)^2 + (6-6)^2 + (8-6)^2 + (10-6)^2)/
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