Answer:
9.68%
Explanation:
Percent Return on Investment is calculated as Net Profit / Cost of Investment x 100
Net Profit= $46,620 (1,000 x $46.62 per share) + $950 (1,000 x $.95 per share) - $43,370 (1,000 x $43.37 per share) = $4,200
Cost of Investment= $43,370 (1,000 x $43.37 per share)
Percent Return on Investment= $4,200 / $43,370 x 100 = 9.68%
Answer:
Shortage
Explanation:
I got it correct because I watched the given recording.
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
