Answer:
Arithmetic = 3%
Geometric = 2.37%
Explanation:
The arithmetic average of 'n' returns is given by:
For five returns of 5% ,21%, -12%, 7%, and -6%:
The geometric average of 'n' returns is given by:
![G=\sqrt[n]{(1+r_1)*(1+r_2)*...*(1+r_n)}-1](https://tex.z-dn.net/?f=G%3D%5Csqrt%5Bn%5D%7B%281%2Br_1%29%2A%281%2Br_2%29%2A...%2A%281%2Br_n%29%7D-1)
For five returns of 5% ,21%, -12%, 7%, and -6%:
![G=\sqrt[5]{(1+0.05)*(1+0.21)*(1-0.12)*(1+0.07)*(1-0.06)}-1\\G=0.0237=2.37\%](https://tex.z-dn.net/?f=G%3D%5Csqrt%5B5%5D%7B%281%2B0.05%29%2A%281%2B0.21%29%2A%281-0.12%29%2A%281%2B0.07%29%2A%281-0.06%29%7D-1%5C%5CG%3D0.0237%3D2.37%5C%25)
The main purpose as well as the cause of the failure of performance appraisal process is as described below-
Explanation:
Appraisal refers to the process (mostly formal) to evaluate the productivity of the manpower of an organisation. It serves for administrative as well as developmental purpose.
Performance appraisal serves three important purpose-
- Providing adequate feedback to employees based on his/her performance.
- It can help in modifying employee behaviour and thus contributing to an effective workspace environment.
- Providing qualitative parameters to higher-order authority through which they can adjudge their subordinates.
However, appraisals occasionally fail in their motive due to following reasons-
- Appraisals are prone to biases prevailing in the work environment. Moreover, the neutrality of the rating authority is also often under the scanner.
- The appraisals are often inflicted by sampling error. The conclusion of few cannot be generalised on all.
- Appraisals don’t take into account the variability of the employee's performance, Rather it relies on the end performance and the start.
Answer:
Number of car washed is 92
So option (a) is correct answer
Explanation:
It is given that 4 workers can wash 80 cars per day
Means initially 80 cars are washed per day
And it is given that rate of car wash is $5 per car
Now price of workers is $60 per day
As per car wash is $5
So number of extra car washed 
So total number of car washed = 80 + 12 = 92 cars per day
So option (a) is correct answer
Answer:
0.4868%
$615.47
Explanation:
Given that
a. EAR = 6%
Thus,
Equivalent monthly rate = (1 + r)^n - 1
Where r = EAR
Therefore
= (1 + 0.06)^1/12 - 1
= 1.0048675 - 1
= 0.0048675 × 100
= 0.4868%
b. Given that
Monthly rate = 0.4868%
Future value = 100,000
Time = 10 years
Recall that
FV annuity formula = C × (1/r) × ([1 + r ]^n - 1)
Where
C = payment
Therefore
100000 = C (1/0.004868) × ([1 + 0.004868]^120 - 1)
C = 100,000/(1/0.004868) × ([1 + 0.004868]^120 - 1)
C = $615.47 per month
Answer:
b. Used to estimate how fast prices will double using a given annual inflation rate
Explanation:
Rule of 72 is a fast statistical method to determine how long an investment will double given annual interest rate.
Simply divide 72 by the annual interest rate.
Alternatively it can be used to calculated annual rate of return required to double investment.
Alternatively it can be used to calculate annual rate of return required to double an investment.
For example if $1,000 is to be doubled in 5 years.
Years to double= 72/ Interest
Interest= 72/5= 14.4%
