The amount generated from the investment with simple interest is calculated through the equation,
F = P x (1 + in)
where F is the future amount, P is the present worth, i is the decimal equivalent of the given interest and n is the number of interest period.
From this item it can be identified that,
P = $10,500
i = 0.06
n = 4
Substituting the known values,
F = ($10,500) x (1 + (0.06)(4))
<em> F = $13020</em>
Therefore, after four years, the amount of money that Alex will have is $13,020.
Answer:
they have the prime market I think? I don't see any options on here to know what direction the question is going.
Answer:
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Answer:
$1,042.04
Explanation:
to calculate the present value using a continuously compounded interest rate, we can use the following 2 formulas:
1) present value = cash flow / eⁿˣ
- e = 2.71828
- x = 5% / 2 = 2.5%
- n = 10
- cash flow = $1,030
present value = $1,030 / 2.71828¹⁰ˣ⁰°⁰²⁵ = $1,030 / 1.284 = $802.16
2) present value of an annuity = payment [(1 - e⁻ⁿˣ) / (eˣ - 1)]
- payment = $30
- x = 2.5%
- n = 9
- e = 2.71828
present value = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30(0.2015 / 0.0252) = $239.88
present value of the stream of cash flows = $802.16 + $239.88 = $1,042.04
