Expected standard deviation of the new combination


A bank is considering adding life insurance underwriting to the services it offers. It has estimated that the expected return and standard deviation of its traditional services are 12 percent and 6 percent respectively. It has also estimated that the expected return and standard deviation of its new underwriting services are 18 percent and 10 percent respectively. The correlation between these services has been estimated to be +.10 and the bank estimates that 90 percent of its business will be from traditional services and 10 percent from the new underwriting services. What is the expected standard deviation of the new combination of services?

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Finance Basics: Expected standard deviation of the new combination
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