Suppose $250,000 is used to establish an annuity that earns 6%, compounded quarterly, and pays $6000 at the end of each quarter. It will take about 120 quarters until the account balance reaches $0.
Amount invested (Present value) = $250000
Quarterly payment (At the end of each quarter) (P) = $4500
Interest Rate (Quarterly) (r) = 6% /4
= 1.5% = 0.015
A number of quarters (n) = ?
Future value at the end = 0
Present value of Annuity formula:
Present value = P × ![(1-(1+r))^{(-n)} / r](https://tex.z-dn.net/?f=%281-%281%2Br%29%29%5E%7B%28-n%29%7D%20%20%2F%20r)
250000 = 4500 × ![(1-((1+0.015))^{(-n)} / 0.015](https://tex.z-dn.net/?f=%281-%28%281%2B0.015%29%29%5E%7B%28-n%29%7D%20%20%2F%200.015)
250000 = 300000 × ![(1-((1+0.015)}}^{(-n)}](https://tex.z-dn.net/?f=%281-%28%281%2B0.015%29%7D%7D%5E%7B%28-n%29%7D)
250000 / 300000 = ![1-(1+0.015)^{(-n)}](https://tex.z-dn.net/?f=1-%281%2B0.015%29%5E%7B%28-n%29%7D)
0.83333 = ![1-(1.015)^{(-n)](https://tex.z-dn.net/?f=1-%281.015%29%5E%7B%28-n%29)
n = 120
Hence is shall take 120 Quarters until the account balance is $0.
To learn more about account balance
brainly.com/question/28699225
#SPJ4
Answer:international trade: trade between individuals
Explanation:
I got it right
Answer:
Price of stock = $40
Explanation:
According to the dividend growth model, the price of a stock is the present value of expected dividend discounted at the required rate of return.
This is done as follows:
Price of a stock = D×(1+r)/(r-g)
D(1+g) - Dividend for next year = 100%-40%× $3 = $1.8
g- growth rate - 10%
r- required rate of return - 15%
Price of stock = 1.8× (1.1)/(0.15-0.1)
= $40
In India, the majority of properties are sold with the help of a real estate broker or agent. When the broker helps a seller and buyer get in touch with each other and both the parties agree to engage in the transaction, then both the parties are required to pay a certain %age of the property value as a fee to the real estate broker. Read below to know about the real estate broker commission rates India:
There are no specific guidelines laid for the commission paid to real estate brokers. In India, real estate agents usually ask the seller and the buyer to pay 1-2% of the deal value as their commission, also known as the real estate brokerage fee.
Answer:
1. The mandatory retirement age in Wonkaland is abolished.
- INCREASE IN THE LONG RUN AGGREGATE SUPPLY CURVE: greater use of labor
2. Wonkaland's main export is candy. Candy from this country increases in popularity as consumers all over the world want to buy Wonkalandian candy.
- NO CHANGE IN THE LONG RUN AGGREGATE SUPPLY CURVE
3. Since candy from Wonkaland has become an international sensation, factories in Wonkaland double the number of candy making machines.
- INCREASE IN THE LONG RUN AGGREGATE SUPPLY CURVE: greater use of capital investments
4. The top candy companies in Wonkaland chose to relocate their means of production to other countries around the world.
- DECREASE IN THE LONG RUN AGGREGATE SUPPLY CURVE: lower use of capital investments
Explanation:
The long run aggregate supply curve is only affected by changes in capital, labor and technology. If the use of these factors increases, the LRAS curve will increase, if their use decreases, then the LRAS curve decreases.