784.967 rounded to the nearest whole number is 785
Answer:
Explanation:
The equation to calculate the <em>monthly payment</em> for fixed-rate loans is:
![Monthly\text{ }payment=Loan\times \bigg[\dfrac{r(1+r)^t}{(1+r)^t-1}\bigg]](https://tex.z-dn.net/?f=Monthly%5Ctext%7B%20%7Dpayment%3DLoan%5Ctimes%20%5Cbigg%5B%5Cdfrac%7Br%281%2Br%29%5Et%7D%7B%281%2Br%29%5Et-1%7D%5Cbigg%5D)
Where:
- Loan = $8500 - $300 = 8,200
- r is the monthly interest = 5.75% / 12 = 0.0575/12 ≈ 0.00479
- t is the number of moths = 36
Substituting:
![Monthly\text{ }payment=\$8,200\times \bigg[\dfrac{(0.0575/12)(1+(0.0575/12))^{36}}{(1+(0.0575/12))^{36}-1}\bigg]=\$ 248.53](https://tex.z-dn.net/?f=Monthly%5Ctext%7B%20%7Dpayment%3D%5C%248%2C200%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B%280.0575%2F12%29%281%2B%280.0575%2F12%29%29%5E%7B36%7D%7D%7B%281%2B%280.0575%2F12%29%29%5E%7B36%7D-1%7D%5Cbigg%5D%3D%5C%24%20248.53)
Answer:
True
Explanation:
Workplace coercion is used to alter the belief system and values of an organisation. It creates unhealthy work environment. In workplace coercion strength and power are used to force employees to increase productivity. It can also include threats. Such tactics are used to get better results from employees.
It workplace coercion continues for a long time it can demoralise the employees. It is also problematic for the organisation to use its human resources effectively.
Although employees try to adapt and learn the work, coercion can lead to absences.
Answer:
Average rate of return= 10.17
%
Geometric return = 9.23%
Explanation:
<em>Geometric average return</em>
This is compounded annual rate of return which is used to measure the performance of an asset over a certain number of years. It helps to measure the return generated by an investment taking into account the volatility .
Unlike the arithmetic average the geometric average gives an idea of the real rate taking into account of volatility
The formula below
Geometric Return =(1+r1) (1+r2) ...... (1+rn)^1/n
Geometric Average return =
(1.12× 1.19× 1.21× 0.88× 1.26× 0.95)^(1/6) - 1 =0.09233168
Geometric return =0.0923
× 100= 9.23%
Geometric return = 9.23%
Average rate of return
<em>The average return is the sum of the returns over the years dividend by the Numbers of returns</em>
Average return = sum of return / No of returns
(12% + 19% + 21% + (12%) + 26% + (5%))/6 =10.17
%
Average rate of return= 10.17
%
Geometric return = 9.23%
Answer: $1381400
Explanation:
From the question, we are informed that Company A is considering a merger with Company B and that A has 43,000 shares outstanding at a market price of $32 a share while B has 12,800 shares outstanding priced at $44 a share and the merger is expected to create $5,400 of synergy.
The total value of the merged firm will be:
= (43,000 × $32) + (12,800 × $44) + $5,400 - $563,200
= $1,376,000 + $563,200 + $5,400 - $563,200
= $1,944,600 - $563,200
= $1,381,400
