Answer:
$65,742.60
Explanation:
Note: The full question is <em>"Peter wishes to create a retirement fund from which he can draw $20,000 when he retires and the same amount at each anniversary of his retirement for 10 years. He plans to retire 20 years from now. What investment need he make today if he can get a return of 5% per year, com- pounded annually?"</em>
At first, we need to find the PV of withdrawals and there are 11 withdrawals starting 20 years from now.
PV = PMT/r * 1 - 1/(1+r)^n. This formula gives the PV one period before the first withdrawal. That is 19 years from now because the first withdrawal is 20 years from now.
PMT = 20,000, n = 11,
r = 0.05
PV19 = 20,000/0.05 * [1 - 1/(1+0.05)^11]
PV19 = 400,000 * 0.4153207109
PV19 = 166,128.28436
Now, we need to discount this back to toda
PV0 = PV19/(1 + r)^n; n = 19, r = 0.05
PV0 = 166,128.28436/(1 + 0.05)^1
PV0 = $65,742.6033421702
PV0 = $65,742.60
So, Peter needs to make $65,742.60 today.
Answer and Explanation:
The preparation of the production budget is presented below:
Projected sales units 800,000 candles
Add: Desired ending inventory, Dec 31 20,000 units
Total units available 820,000 units
Less: Estimated beginning inventory,Jan 1 -35,000 units
Total units to be produced 785,000 units
We simply applied the below formula i.e
= Sales units + ending inventory units - beginning inventory units
By applying this formula we can get the Total units to be produced in January month
Answer: 1. 18 times
2. Park is in better position
Explanation:
1. Times interest earned is a financial ratio that measures interest coverage. It's essentially to check if a company can pay it's debt payments and is calculated by either EBIT or EBITDA divided by the total interest expense. The higher the better and anything above 2.5 times is usually considered.
Calculating would therefore be,
= $6,120,000 /$340,000
= 18 times.
2. As mentioned in the first answer, for the Times interest earned, the higher it is, the more favourable it is. So Park Company will be considered safer and are most definitely in a better or worse position than its competitor to make interest payments if the economy turns bad. The fact that theirs is 18 means that they can pay off their interest expense 5 times more than their competitor who can only repay 12 times.
If you need any clarification do comment.
Answer:
$245.09
Explanation:
A service contract for a video projection system costs $90 a year. You expect to use the system for three years.
Instead of buying the service contract, the future value of these annual amounts after three years if you earn 5 percent on your savings will be:
PV
Ordinary Annuity
=C×[ ((1−(1+i) ^−n
) / i ]
where
n = number of years = 3
i = interest rate = 5%
Present Value of the annuity = 90 x [ ((1 - (1+0.05)^-3) / 0.05] = $245.09
Considering that Alyssa is their young daughter, United States has an astounding number of tax credits and deductions that are geared towards taxpayers with children, they could claim: Credits, Deductions, exemption, Education Benefits, Education Deductions, and Education Credits, among others.
