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zanaplen27
06.02.2021 •
Business
Luis has an obligation to pay a sum of $3,000 in four years from now and a sum of $5,000 in six years from now. His creditor permits him to discharge these debts by paying $X in two years from now, $1000 in three years from now, and a final payment of $2X in nine years from now. Assuming an annual effective rate of interest of 8%, find X
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Ответ:
The value of X is 2455.77
Explanation:
Given the data in the question;
annual effective rate of interest of 8%, = 0.08
Now, we discount all the ash flows to present value, so we get;
3000×
+ 5000×
= X×
+ 1000×
+ 2X×
2,205.089 + 3,150.84 = 793.83 + X(
+
)
5355.929 - 793.83 = X( 0.8573 + 1.0004 )
4,562.099 = X( 1.8577 )
X = 4,562.099 / 1.8577
X = 2455.77
Therefore; value of X is 2455.77
Ответ:
$18,000
Explanation:
Required:
Find the amount of income Perimeter recognizes in 20X1 as a result of the investment.
Amount of income to be recognized should be calculated as:
Share of net income - Amortization of equipment in excess of book value
Where,
Share of net income = 30% of net income
= 30% × $80,000
= $24,000
Less: Amortization of equipment in excess of book value =
Therefore, amount of income to be recognized =
$24,000 - $6,000
= $18,000
Amount of income Perimeter recognizes in 20X1 as a result of this investment is $18,000