D is. It's very wrong to underestimate somebody's abilities or knowledge. We should never do that. It's also rude.
Answer: Number of months = 66.87 months
Explanation:
Given that,
Monthly Payment = $500
Interest rate(r) = 1.95% per month
Current Balance = $18,500
Number of months(t) = ?
![Current\ balance = Monthly\ payment\times(\frac{1-present\ value\ factor}{r})](https://tex.z-dn.net/?f=Current%5C%20balance%20%3D%20Monthly%5C%20payment%5Ctimes%28%5Cfrac%7B1-present%5C%20value%5C%20factor%7D%7Br%7D%29)
![Current\ balance = Monthly\ payment\times(\frac{1-\frac{1}{(1+r)^{t}} }{r})](https://tex.z-dn.net/?f=Current%5C%20balance%20%3D%20Monthly%5C%20payment%5Ctimes%28%5Cfrac%7B1-%5Cfrac%7B1%7D%7B%281%2Br%29%5E%7Bt%7D%7D%20%7D%7Br%7D%29)
![18,500 = 500\times(\frac{1-\frac{1}{(1+0.0195)^{t}} }{0.0195})](https://tex.z-dn.net/?f=18%2C500%20%3D%20500%5Ctimes%28%5Cfrac%7B1-%5Cfrac%7B1%7D%7B%281%2B0.0195%29%5E%7Bt%7D%7D%20%7D%7B0.0195%7D%29)
![\frac{18,500}{500}\times0.0195=1-\frac{1}{1.0195^{t} }](https://tex.z-dn.net/?f=%5Cfrac%7B18%2C500%7D%7B500%7D%5Ctimes0.0195%3D1-%5Cfrac%7B1%7D%7B1.0195%5E%7Bt%7D%20%7D)
![\frac{1}{1.0195^{t}}=1-0.7215](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1.0195%5E%7Bt%7D%7D%3D1-0.7215)
![1.0195^{t}=\frac{1}{0.2785}](https://tex.z-dn.net/?f=1.0195%5E%7Bt%7D%3D%5Cfrac%7B1%7D%7B0.2785%7D)
![1.0195^{t}=3.5906](https://tex.z-dn.net/?f=1.0195%5E%7Bt%7D%3D3.5906)
Taking log on both side
t log(1.0195) = log(3.5906)
![t = \frac{0.5551}{0.0083}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B0.5551%7D%7B0.0083%7D)
t = 66.87 months
Answer:
The correct answer is $79,000 and $37,000.
Explanation:
According to the scenario, the given data are as follows:
Net income = $116,000
Doug's Salary = $52,000
Receive an interest = 10%
So, the amount to be shared equally = [$116,000 - $52,000 - ( 10% × $220,000) - ( 10% × $320,000)] ÷ 2
= $5,000
So, Doug share = $52,000 + ( 10% × $220,000) + $5,000
= $79,000
Kayla share = (10% × $320,000) + $5,000 = $37,000
Under the rule of 70, if the GDP per capita growth rate in the United States is 2.3%, standards of living double every 70/2.3 = 30.43 years.
<h3>What is Gross Domestic Product (GDP)?</h3>
The term "Gross Domestic Product," or GDP, refers to the total monetary worth of all finished goods and services produced (and marketed) within a nation within a specific time period (typically 1 year).
GDP Growth Rate:
- The GDP growth rate compares the most recent quarter or year to the preceding one and represents the percentage change in real GDP (GDP adjusted for inflation) from one period to the next.
- A positive or negative number may be used (negative growth rate, indicating economic contraction).
GDP per capita:
- By dividing nominal GDP by a nation's entire population, one can get GDP per capita.
- It conveys the nation's average economic output (or income) per person.
- The population figure corresponds to the year's median (or mid-year) population.
The price deflator, a statistical tool, is used to convert nominal GDP to constant prices.
To know more about Gross domestic product (GDP), here
brainly.com/question/1383956
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Answer:
a.
3.51%
b.
0%
Explanation:
a.
First, we need to calculate the YTM of 6 months zero-coupon bond by using the following formula
Price = Face value / ( 1 + YTM )^numbers of years
96.79 = 100 / ( 1 + YTM )^1
1 + YTM = 100 / 96.79
1 + YTM = 1.0331646
Now calculate the YTM of 1 Year zero-coupon bond
93.51 = 100 / ( 1 + YTM )^1
YTM = 1.0331646 - 1
YTM = 0.0331646
YTM = 3.31646%
YTM = 3.316%
1 + YTM = 100 / 93.51
1 + YTM = 1.06940
YTM = 1.06940 - 1
YTM = 0.06940
YTM = 6.940%
YTM = 6.94%
Hence the forward rate is calculated as follow
Forward rate = [ (1 + YTM of 1 year zero coupon bond ) / ( 1 + YTM of 6 months year zero coupon bond ) ] - 1 = ( 1 + 6.94% ) / ( 1 + 3.316% ) = [ 1.0694 / 1.03316 ] - 1 = 1.03508 - 1 = 0.03508 = 3.508% = 3.51%
b.
At the time of inception the formward rate is 0.