Answer:
SD = 0.0740270 or 7.40270 percent rounded off to 7.403 percent
Explanation:
To calculate the standard deviation of the investment, we must first calculate the expected or mean return of the investment. The expected or mean return can be calculated as follows,
r = pA * rA + pB * rB + ... + pN * rN
Where,
- pA, pB, ... represents the probability of state occurrence
- rA, rB, ... represents return A, return B and so on under each state
r = 0.2 * 0.16 + 0.4 * 0.12 + 0.2 * 0.05 + 0.2 * -0.05
r = 0.08 or 8%
The formula to calculate the standard deviation of a stock/investment is as follows,
SD = √pA * (rA - r)² + pB * (rB - r)² + ... + pN * (rN - r)²
SD = √0.2 * (0.16 - 0.08)² + 0.4 * (0.12 - 0.08)² + 0.2 * (0.05 - 0.08)² + 0.2 * (-0.05 - 0.08)²
SD = 0.0740270 or 7.40270 percent rounded off to 7.403 percent
JOBS ARE THE SOURCE OF INCOME
The selection of the best answer from the choices provided for an insurance premium offered by the AA Auto Insurance is <em>a. $50. 04</em>.
Insurance coverage is a service offered by an insurer (insurance company) to the insured. If the assured suffers some financial losses., the insurer reinstates the assured to their financial position before the event. For rendering the service, the insurance company collects from the insured some amount, monthly, quarterly, or annual charges called a premium.
Thus, based on the options given, the best insurance premium is <em>a. $50.04.</em>
Learn more about calculating the monthly insurance premium here: brainly.com/question/25280754 and brainly.com/question/19655618