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
The relationship between the straight-line and double-declining-balance method is that they D. Produce the same total depreciation over an asset's useful life.
<h3>How are the straight-line and double-declining-balance methods related?</h3>
While they do not produce the same depreciation every year, they will eventually depreciate an asset in the same way overtime.
What this means is that both methods will depreciate an asset by the same amount at the end of the asset's life. However, the depreciation amounts will vary by method on an annual basis.
In conclusion, option D is correct.
Find out more on depreciation methods at brainly.com/question/26948130.
Answer:
$326,622.73
Explanation:
Calculation to determine How much will you have in your account if you make deposits for 20 years
Using this formula
Future value = Annuity × {( 1 + interest rate) ^ time period - 1} ÷ interest rate
Future value = $5,900 × {( 1 + 0.097 ^ 20 years - 1} ÷ 0.097
Future value= $5,900 × 55.3597842916
Future value= $326,622.73
Therefore the amount you will have in your account if you make deposits for 20 years is $326,622.73