Answer:
It will take 4.2 years
Explanation:
The amount due in the future when a sum of money is invested at a particular interest rate for certain number of years is called Future or compound value.
To calculate the compound value, we use the formula below:
FV = PV * (1+r)^n
FV- future value, PV - Present value, r - interest rate, n - number of years
In this question,
FV - 15,000, PV- 5000, r -3%, n- ?
Substituting this value we have:
15,000 = 5000 × (1+0.03)^n
15000 = 5000 × 1.03^n
1.03^n = 15,000/5000
1.03^n = 3
log 1.03^n = Log 3
n = Log 3/log 1.03
n = 4.18735
It will take about 4.2 years for the account to reach $15,000
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Answer:
It is true that raising gasoline prices (either by producing less of it, or by adding taxes) would reduce gasoline use. The concept of price elasticity of demand can helps us explain why.
Explanation:
A good can be either elastic or inelastic depending on its price elasticity of demand. A price elasticity of demand of less than 1 is considered inelastic, while a price elasticity of demand higher than 1 is considered elastic.
Elastic goods are those whose quantity demanded falls or rises more than the price. Inelastic goods are those whose quantity demanded falls or rises less than the price.
Gasoline is a inelastic good in the short-term because even with a price hike, most people will still buy gasoline because they need to move around. However, in the long-term, gasoline becomes more elastic because people replace their buy electric cars, or cars that use less fuel, etc.
What this tells us is that raising gasoline prices can reduce gasoline use in the long-term.
A built-in injustice in this measure is that it affects the poor disproportionally. Poor people also need cars to get around, and a rise in the gasoline price means that they have less money for other basic needs.
Answer:
$10 profit
Explanation:
In this question, we are asked to calculate the profit or loss to a short position.
Firstly, we identify that the spot price of market index is $900.
Now, a three months forward contract equals a value of $930.
Raising the index to $920 at the expiry date is obviously a profit to the short position.
To calculate the profit here, we simply subtract the index at expiry date from the three months forward contract.
Mathematically, this is equal to $930-$920 = $10 profit
