Answer:
the payback period is 3.34 years
Explanation:
The computation of the payback period is as follow;
Given that
Year Cash flows Cumulative cash flows
0 -$40,000 $-40,000
1 $3,000 $3,000
2 $8,000 $11,000
3 $14,000 $25,000
4 $19,000 $44,000
5 $22,000 $66,000
6 $28,000 $94,000
Now the payback period is
= 3 years + ($40,000 - $25,000) ÷ $44,000
= 3 years + 0.34
= 3.34 years
Hence, the payback period is 3.34 years
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Answer:
$1000
$1010
Explanation:
The formula for determining simple interest = principal x time x interest rate
The formula for determining compound interest = future value - amount invested
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
1000 X 0.01 X 1 = $10
Given the figures in the question, the simple interest each year would be $10 based on $1000
But the compound interest in year 2 = 1000 x (1.01)^2 = 1020.10
1020.10 - 1000 = 20.1
compound interest in year 2 = 20.1 - 10 = 10.1
or
1010 x 0.01 x 1 = 10.1
Answer:
Explanation:
Dividends through year 1 to 5:
D1 = 2.15*(1+0.30)^1 = 2.80
D2 = 2.15*(1+0.30)^2 = 3.63
D3 = 2.15*(1+0.30)^2 * (1+0.18)^1 = 4.29
D4 = 2.15*(1+0.30)^2 * (1+0.18)^2 = 8.58
D5 = 2.15*(1+0.30)^2 * (1+0.18)^3 = 12.86
PV (D1) = 2.80
PV (D2) = 3.63 *PVIF = 3.63 * 0.87719 = 3.19
PV (D3) = 4.29 * 0.76947 = 3.30
PV (D4) = 8.58 * 0.67497 = 5.79
PV (D5) = 12.86 * 0.59208 = 7.62
Total of all PV's = 22.69
Answer:
a) $101354
Explanation:
To calculate the future balance of the interest-earning account use following formula
FV = PV x ( 1 + r )^n
Where
FV = Future value = Balance of Interest-earning account after 3 years = ?
PV = present value = Amounr deposited in the account = $90,000
r = Periodic interest rate = 4% x 6/12 = 2%
n = Numbers of periods = Numbers of years x Compounding periods per year = 3 years x 2 periods per year = 6 periods
Placing values in the formula
FV = $90,000 x ( 1 + 2% )^6
FV = $101,354
