In order to properly tackle this problem, we must understand the relationship between the nominal annual rate and real (effective) annual rate.
To do this:
-First you take the nominal rate, divide by the number of times it's compounded (converted) per year.
-Then, add one to that number, and raise that number to the power of how many times you compound per year.
Here is the method in practice:
First 3 Years:
Nominal rate= 2% ÷ 12 times/yr = 0.001667
Effective rate = 1.001667 ^12 = 1.020184
Next 2 Years (Discounting)
3% ÷ 2/yr = .015
1.015 ^ 2 = 1.061364
Next 4 years (Interest)
.042 ÷ .5 (once every 2 years) = .084
1.084 ^ (1/2) = 1.041153
The last 3 years are already expressed as an effective rate, so we don't need to convert them. The annual rate is:
1.058
I kept the 1 in the numbers (1.058 instead of 5.8% for example) so that it's easier to find the final number
Take every relevant number and raise it to the power of the number of years it's compounded for. For discounting, raise it to a negative power.
First 3 years: 1.020184 ^ 3 = 1.061784
Next 2 years: 1.030225 ^ -2 = .942184
Next 4 years: 1.041163 ^ 4 = 1.175056
Last 3 years: 1.058 ^ -3 = .84439
Multiply these numbers (include all decimals when you do this calculation)
1.062 * .942 * 1.175 * .844 = .992598
This is our final multiplier to find the effect on our principal:
.992598 * 2,480 = 2461.64
Answer is 2461.64
Answer:
this account shows sign's of sexual harassment this goes against the rules of a work place due to the fact that employees and members of staff should feel protected at all times
Explanation:
Answer:
Cost of equity= 8.0%
Explanation:
<em>Cost of equity can be ascertained using the dividend valuation model. The model states that the price of a stock is the present value of future dividends discounted at the required rate of return.</em>
Cost of equity (Ke) =( Do( 1+g)/P ) + g
g - 2.2%, P - 36.72, D - 2.18
Ke = (2.18 ×(1+0.022)) /38.72 + 0.022 ) × 100
= 0.07954 × 100
= 8.0%
Cost of equity = 8.0%
The
question: Drug sniffing dogs must be 95% accurate in their responses, since we
don't want them to miss drugs and also don't want false positives. a new dog is
being tested and is right in 46 of 50 trials. find a 95% confidence interval
for the proportion of times the dog will be correct.
The answer of the following question:
The 95% confidence interval for the proportion of times the
dog will be corrected is: 0.845, 0.995
