Answer:
$19,886.396
Explanation:
Given :
Interest rate = 5.1% = 5.1
Principal = $19000
Period = 11 months = (11/12)year
The present value of 19000 in 11 months at 5.1% interest Can be obtained using the relation:
PV = P(1 + r)^n
PV = 19000(1 + 0.051)^(11/12)
PV = 19000(1.051)^(11/12)
PV = 19000 * 1.0466524
PV = 19886.396
Hence, the present value is $19,886.396
The net present value of the proposed project is closest to -$80,822.
Since the project saves $80,000 in costs each year, we treat these savings income for the next 4 years. We then calculate the Present value Interest Factor of an annuity using the formula :
PVIF of an annuity = { [ 1 - [ (1+r)⁻ⁿ ] } ÷ r
PVIF of an annuity = { [ 1 - [ (1.09)⁻⁴ ] } ÷ 0.09
PVIF of an annuity = 3.240 (rounded to three decimals)
PV of the cost savings = (3.240*80000) = $2,59,178 (rounded to nearest $)
NPV = PV of cost savings - Value of investment
NPV = 2,59,178
- 3,40,000
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Answer:
And if we convert this into % we got 
See explanation below.
Explanation:
We assume that we have compounding interest.
For this case we can use the future value formula given by:
Where:
FV represent the future value desired = 1000000
PV= represent the present value = 50000
i = the interest rate that we desire to find in fraction
n = number of times that the interest rate is compounding in 1 year, since the rate is annual then n=1
t = represent the number of years= 50 years
So then we have everything in order to replace and we got:
Now we can solve for the interest rate i like this:
And if we convert this into % we got
The answer to your question is a non-sufficient funds check.
Hope that helps! :)
