Murphy National Bank Is Thinking About Adding a New Branch

question 86

Multiple Choice

Murphy National Bank is thinking about adding a new branch in a very different market area.It estimates that the new office will have an expected return of 16% with a standard deviation of 8%.Currently,it has an expected return of 12% with a standard deviation of 4%.The correlation between the returns on the new branch and the bank's current returns is estimated to be 0.20.The bank estimates that the new branch will represent 15 percent of the revenues of the bank.What is the expected return of the bank with the new branch?

• A)12.6 percent
• B)15.4 percent
• C)4.6 percent
• D)7.4 percent
• E)8.2 percent

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Definitions:

Expected Value

The weighted average of all possible values of a random variable, considering the probabilities of each outcome.

Natural Log

The logarithm to the base e, where e is an irrational constant approximately equal to 2.71828, often used in mathematics, physics, and engineering.

Risk Averter

An individual who prefers outcomes that are certain over those with any level of risk, usually willing to accept lower returns to avoid uncertainty.

Expected Value

A calculated average outcome of a random variable, considering all possible outcomes and their probabilities.