Answer:
REJECTED
It fails the payback test.
Explanation:
first, we check if payback occurs at year 3;
payback:
-175,000
-65,800
+94,000
<u> +41,000</u>
-105,800
the cashflow until year 3 aren't positive thus, the payback is not achieve
As the discount paymback will make the future cash inflow lower than nominal; the discounted payback will also not be achieve.
Last, let's check if the net present value of the project at 11% is positve:
![\left[\begin{array}{ccc}Year&cashflow&PV\\0&-175000&-175,000\\1&-65800&-59,279.28\\2&94000&76,292.51\\3&41000&29,978.85\\4&122000&80,365.18\\5&81200&48,188.25\\&TOTAL&545.51\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7DYear%26cashflow%26PV%5C%5C0%26-175000%26-175%2C000%5C%5C1%26-65800%26-59%2C279.28%5C%5C2%2694000%2676%2C292.51%5C%5C3%2641000%2629%2C978.85%5C%5C4%26122000%2680%2C365.18%5C%5C5%2681200%2648%2C188.25%5C%5C%26TOTAL%26545.51%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The project achieve a psoitive value at the discount rate of 11%
But, It will be rejected as it fails the payback tests.
Answer:
$164,313.82
Explanation:
In this question we have to apply the present value formula i.e to be shown in the attachment
Provided that,
Future value = $0
Rate of interest = 9%
NPER = 20 years
PMT = $18,000
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
So, after applying the above formula the present value is $164,313.82
Answer:
1. $1,821.76
2. 7.87%
Explanation:
We use the PMT formula that is shown in the attachment below:
Provided that
Present value = $75,200
Future value = $0
Rate of interest = 7.6% ÷ 2 = 0.6333333%
NPER = 48 months
The formula is shown below:
= PMT(Rate;NPER;-PV;FV;type)
The present value come in negative
So, after solving this, the monthly payment is $1,821.76
2. Now the effective annual rate is
= (1 + APR ÷ number of months)^number of months - 1
= (1 + 7.6% ÷ 12)^12 - 1
= 7.87%
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