Answer:
1. Payback period = 2.8 years
2. Break-even time = 3.8 years
3. NPV = $12,577
Explanation:
NOTE: See the attached excel file for the calculation tables.
1. Determine the payback period for this investment.
Payback period = 2 years and [(49,600 / 70,800) * 12] months = 2 years and 8 months approximately = 2.8 years.
2. Determine the break-even time for this investment.
Break-even time = 3 years and [(23,622 / 36,199) * 12] months = 3 years and 8 months approximately = 3.8 years
3. Determine the net present value for this investment.
Net present value (NPV) of this investment is $12,577
Answer:
Net loss in 2018 reported in Puritan’s income statement = $360,000
Explanation:
Net Loss:
Net loss is the amount by which a company's total costs are more than its total sales during a particular period.
Formula:
Net loss = -taxable income + Income tax benefit
As taxable income for 2018 = $600,000 and Puritan's tax rate is 40% for all years
Therefore by putting the values in the above formula, we get
Net loss in 2018 in Puritan’s income statement = -$600,000 + ($600,000 * 40%)
Net loss in 2018 reported in Puritan’s income statement = -$600,000 + 1500000
Net loss in 2018 to be reported in Puritan’s income statement = $360,000
44% annual interest sounds too good to be true, but we'll work with it.
Don't know exactly how much is <span>$12 comma 00012,000.
I will work with $1,000,000 (one million). You can scale the results to the right amounts.
Future value = $1,000,000
i=0.44
n=88
Present value=$1,000,000/(1+0.44)^88=$1.159*10^(-8), not even one cent!
However, if the interest rate is 4% for 88 years (more likely), then
Present value=F/(1.04^88)=1,000,000/1.04^88=$317,000.50.
That's the amount you need to put in today to get $1000000 in 88 years at 4% APR (compounded annually).</span>
Answer: 18.92%
Explanation:
The formula to find the compound amount :-
, where P is the Principal amount, r is the rate of interest and t is the time period.
Given : P= $1500
A = $6000
Time = 8 years
Then ![6000=1500(1+r)^8](https://tex.z-dn.net/?f=6000%3D1500%281%2Br%29%5E8)
i.e. ![(1+r)^8=\dfrac{6000}{1500}=4](https://tex.z-dn.net/?f=%281%2Br%29%5E8%3D%5Cdfrac%7B6000%7D%7B1500%7D%3D4)
i
Taking natural log on both sides , we get
![\Rightarrow\ 8\ln(1+r)=\ln(4)\\\\\Rightarrow\ \log(1+r)=\dfrac{\log4}{8}=\dfrac{1.38629436112}{8}=0.17328679514\\\\\Rightrarrow\ 1+r=e^{0.17328679514}\\\\\Rightarrow\ 1+r=1.189207115\\\\\Rightarrow\ r=1.189207115-1=0.189207115\\\\\Rightarrow\ r\approx0.1892\approx18.92\%](https://tex.z-dn.net/?f=%5CRightarrow%5C%208%5Cln%281%2Br%29%3D%5Cln%284%29%5C%5C%5C%5C%5CRightarrow%5C%20%5Clog%281%2Br%29%3D%5Cdfrac%7B%5Clog4%7D%7B8%7D%3D%5Cdfrac%7B1.38629436112%7D%7B8%7D%3D0.17328679514%5C%5C%5C%5C%5CRightrarrow%5C%201%2Br%3De%5E%7B0.17328679514%7D%5C%5C%5C%5C%5CRightarrow%5C%201%2Br%3D1.189207115%5C%5C%5C%5C%5CRightarrow%5C%20r%3D1.189207115-1%3D0.189207115%5C%5C%5C%5C%5CRightarrow%5C%20r%5Capprox0.1892%5Capprox18.92%5C%25)
<span>The quote captures Smith's description of the complexity and scope of the division of labor, and its ability to increase the standard of living in a given society. Smith believes that the propensity to truck, barter and exchange is part of human nature, and it is precisely this capacity that best organizes the economic system in large scale societies. The cooperation of the many thousands, inspired by each person's self interest, is what allows for the economic system to flourish, spreading opulence and raising the overall quality of life. Since observations on the progress inspired by the division of labor begin the book, Smith uses the contemplation of simple items (pins, for instance) as a starting point for his theorizing on the organization of economics in general.</span>