Machine A costs $9,500 and has an annual operating cost of $5,500. Machine B costs $8,000 and has an annual operating cost of $5
. What is the annual rate of return the additional investment in machine A?
1 answer:
Complete Question:
Machine A costs $9,500 and has an annual operating cost of $5,500. Machine B costs $8,000 and has an annual operating cost of $5,800. Each machine has an economic life of 8 years. What is the annual rate of return the additional investment in machine A?
Answer:
IRR is 11.81%
Explanation:
<u><em>We have to find the annual rate of return on the additional investment in machine A.</em></u> The additional investment can also be termed as incremental investment which is $1,500 ($9,500 - $8,000). Furthermore, the additional cost savings of operating machine A is $300 ($5,500 - $5,800). And this cost savings will be during the life span of the machine A.
Now
We can compute IRR, by using Excel as under:
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Answer:
The balance in the Sinking Fund immediately after repayment of the loan will be $2,133.19
Explanation:
Hi, John will pay the loan by paying the yearly interest and the rest is going to go to the sinking fund, so, if he has $1,627.45 and the annual interest of the loan are $1,000, he will be depositing $627.45 into the sinking fund for ten years. Therefore, the future value of the annual deposits of the sinking can be found by using the following formula.
Where:
A = equal annual savings into the sinking fund (that is $627.45)
r = effective rate of the sinking fund (14%)
n = 10 years
Everything should look like this.
Now, this is the balance after 10 years, but remember that John has to pay the loan, which is $10,000 (not $11,000 because John pays the interest of the loan and then deposits the balance into the sinking fund). Therefore, the balance after repaying the loan is $12,133.19 - $10,000 = $2,133.19.
Best of luck.