The standard deviation of the market-index portfolio is 20%. Stock A has a beta of 2.00 and a residual standard deviation of 30%.

a. Calculate the total variance for an increase of 0.10 in its beta. (Do not round intermediate calculations. Round your answer to the nearest whole number.)
b. Calculate the total variance for an increase of 2.62% in its residual standard deviation?

a). 0.2664 or 26.6400%

b). 0.266406 or 26.6406%

Explanation:

calculation and full explanation is in the attached picture below

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The business cycle is the periodic but irregular up-and-down movement in economic activity, measured by fluctuations in real gross domestic product (gdp) and other macroeconomic variables. a business cycle is typically characterized by four phases—recession, recovery, growth, and decline—that repeat themselves over time. economists note, however, that complete business cycles vary in length. the duration of business cycles can be anywhere from about two to twelve years, with most cycles averaging six years in length. some business analysts use the business cycle model and terminology to study and explain fluctuations in business inventory and other individual elements of corporate operations. but the term "business cycle" is still primarily associated with larger (industry-wide, regional, national, or even international) business trends.