<span>Use the PV of an Annuity tables, where PV is $1,000, Annuity is $20, and Rate is 1.5%. But remember that the equation for this table is PV = Annuity x Factor. Since we know the PV and the Annuity, solve for the Factor.
PV / Annuity = Factor, so $1,000 / $20 = 50 (the Factor). From the table, find where a Factor of 50 meets a rate of 1.5%. A factor of 49.9724 appears at 1.5% and 93 Periods.
The formula for the PV of an Annuity is (1 - 1 / (1 + r)^n) / r. So 1,000 = (1 - 1 /(1.015)^n / .015.
To solve for n gets too difficult</span>
Answer:
74.46%
Explanation:
Since the project has a chance of doubling investment, it has a chance of making a +100% return. The project also have a chance of losing half of its investment that is -50% return. The expected return E(r) is given by:
E(r) = chance of doubling investment + chance of losing half of its investment
E(r) = 0.44(100%) + 0.56(-50%) = 0.44(1) + 0.56(-0.5) = 0.44 - 0.28 = 0.16
σ² = 0.44(100% - E(r))² + 0.56(-50%-E(r))² = 0.44(1 - 0.16)² + 0.56(-0.5 - 0.16)² = 0.310464 + 0.243936 = 0.5544
σ = √σ² = √0.5544 = 0.7446 = 74.46%
The standard deviation is 74.46%
Answer:
$11881.4
Explanation:
Given :
Future value, FV = $15,000
Interest rate, r = 6%
Period, n = 4 years
Using the Present Value formula :
PV = FV(1 ÷ (1 + r)^n)
15000(1 ÷ (1 + r)^n)
15000(1 ÷ (1 + 0.06)^4)
15000(1 ÷ 1.06^4)
15000(1 ÷ 1.26247696)
15000(0.7920936)
= $11,881.4
Answer:
It will need to sale 2,002 units per year to achieve a 10% return on the machine
Explanation:
We will calculate the amount of sales in dollars. We will think this as an annuity which present values is 123,000. That way the company will achieve a 10% return on the machine:
PV $123,000.00
time 10 years
rate 10% = 0.1
C 20,017.68
Now, we divide the cuota by the price per unit to get the units sales per year:
20,017.68 / 10 = 2,001.76 = 2,002 units
Answer:
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