Answer:
<u>X= $15,692.9393</u>
Explanation:
Giving the following information:
Number of years= 30
Final value= 1,000,000
First, deposit $10000 for ten years (last deposit at t=10).
After ten years, you deposit X for 20 years until t=30.
i= 6%
First, we need to calculate the final value in t=10. We are going to use the following formula:
FV= {A*[(1+i)^t-1]}/i
FV= {10000*[(1.06^10)-1]}/0.06= $131807.9494
We can calculate the amount of money to input every year. We need to isolate A:
A= (FV*i)/[(1+i)^n-1]
First, we need to calculate the final value of the $131807.9494
FV= PV*[(1+i)^n]
FV= 131807.9494*1.06)^20= 422725.95
We need (1000000-4227725.95) $577274.05 to reache $1000000
A= (FV*i)/[(1+i)^n-1]
A= (577274.05*0.06)/[(1.06^20)-1]= 15692.9393
<u>X= $15,692.9393</u>
Answer: Jessica's implicit costs are $46,000.
Implicit costs are the benefits that an individual gives up when they take a decision. Implicit costs are also known as opportunity costs.
In this case, Jessica will lose her salary of $40,000 each year. She will also lose the rent of $6000 a year from the building if she opens her fast food joint. So, total implicit costs are:
Answer:
Pension plan assets at the year end will be $214
Explanation:
Wee have given pension plan assets = $200 million
Return on plan assets = 5%
So return will be equal to = $200×0.05 = $10 million
Cash contribution is given $12 million
Retiree benefits is $8 million
We have to find the amount of pension plan assets at the year end
Pension plan assets is equal to = Plan assets at beginning of the year + actual return - retiree benefits = $200 + $10 +$12 - $8 = $214
So pension plan assets at the year end will be $214
Answer: this is awsom do we have to add on or no but this is the best lyiric ever lol
Explanation: great job
Answer and Explanation:
The computation of the given question is shown below:-
Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)
= $250 + $125
= $375
1. Future Value = PMT [((1 + r)n - 1) ÷ r
Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)
= $347,272
2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years
= $250 × 12 Months × 40 Years
= $120,000
3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years
=
$125 × 12 Months × 40 Years
= $60,000
4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer
= $347,272 - $120,000 - $60,000
= $167,272
We simply applied the above formulas