Answer:
$7,255
Explanation:
The computation of the total purchase price is shown below:
= Number of shares purchased × par value per share + commission paid
= 100 shares × $72 + $55
= $7,200 + $55
= $7,255
The Number of shares purchased × par value per share is also known as total purchase value
We simply calculate the total purchase value and then added the commission paid so that the accurate value can come
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In here, we can say that we are looking for the nominal interest rate. Given is the real interest rate which is 5% and the inflation rate of 10%. The nominal rate of interest is real interest rate plus the inflation rate. Savers will now require an interest rate of 15%
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
