Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you just received your salary of $58,000 and you plan to spend all of it. However, you want to start saving for retirement beginning next year. You have decided that one year from today you will begin depositing 3 percent of your annual salary in an account that will earn 11 percent per year. Your salary will increase at 6 percent per year throughout your career.
Required: How much money will you have on the date of your retirement 40 years from today?

Answers

Answer 1

Answer:

The amount you will have on the date of your retirement 40 years from today is $1,904,087.20.

Explanation:

This can be determined using the formula for calculating the future value of growing annuity as follows:

FV = M * (((1 + r)^n - (1 + g)^n) / (r - g)) ...................................... (1)

Where

FV = Future value or the amount on the date of retirement = ?

M = First annual deposit = Annual salary * Deposit percentage = $58,000 * 3% = $1,740

r = annual interest rate = 11%, or 0.11

g = salary growth rate = 6%, or 0.06

n = number of years = 40 years

Substituting all the values into equation (1), we have:

FV = $1,740 * (((1 + 0.11)^40 - (1 + 0.06)^40) / (0.11 - 0.06))

FV = $1,740 * 1,094.30298736951

FV = $1,904,087.20

Therefore, the amount you will have on the date of your retirement 40 years from today is $1,904,087.20.


Related Questions

Setting and achieving goals is essential to success.

a. True
b. False

Answers

Answer: True

Explanation:

The statement that "Setting and achieving goals is essential to success" is true.

When we set goals, it gives us a motivation for the short term and also a long term vision. Setting goals doesn't allow us to deviate from whatever we want to achieve. Our time and resources are dedicated towards achieving that set goal.

Setrakian Industries needs to raise $48.5 million to fund a new project. The company will sell bonds that have a coupon rate of 5.56 percent paid semiannually and that mature in 10 years. The bonds will be sold at an initial YTM of 6.13 percent and have a par value of $2,000. How many bonds must be sold to raise the necessary funds

Answers

Answer:

25,317 unit

Explanation:

Current price of bond = PV(Rate, Nper, Pmt, Fv)

Current price of bond = PV(6.13%/2, 10*2 ,5.56%/2*2000, 2000)

Current price of bond = $1,915.71

Number of bonds to issue = $48,500,000 / $1,915.71

Number of bonds to issue = 25316.98430

Number of bonds to issue = 25,317 unit

Decide whether each of the following is frictional, structural, or cyclical unemployment:
a. The economy gets worse, so General Motors shuts down a factory for four months, laying off workers. cyclical structural frictional
b. General Motors lays off 5,000 workers and replaces them with robots. The workers start looking for jobs outside the auto industry. cyclical structural frictional
c. About 10 workers per month at a General Motors plant quit their jobs because they want to live in another town. They start searching for work in the new town.

Answers

Answer and Explanation:

The classification is as follows:

a. Cyclical unemployment

Since the economy got worse and the factory would be shut down for 4 months so this represent that the economy would go into recession  

b. Structural unemployment

As General motors would lays off 5,000 workes and wants to subsitute with robots so here there is a mismatch of the skills & characteristics according to the job requirements

c. Frictional unemployment

Frictional unemployment is classify as a short-term unemployment that occurred for matching the workers with the available jobs

An investment has the following characteristics: ATIRRP: After-tax IRR on total investment in the property: 9.0% BTIRRE: Before-tax IRR on equity invested: 17% BTIRRP: Before-tax IRR on total investment in the property: 12% t: Marginal tax rate: 0.40 What would be the break-even interest rate (BEIR), at which the use of leverage is neither favorable nor unfavorable

Answers

Answer:

15%

Explanation:

Calculation to determine would be the break-even interest rate (BEIR)

Using this formula

Break-even interest rate (BEIR)= After tax IRR on total investment / (1- Tax rate)

Let plug in the formula

Break-even interest rate (BEIR)=9% / (1-0.40)

Break-even interest rate (BEIR)=9%/0.60

Break-even interest rate (BEIR)= 15%

Therefore would be the break-even interest rate (BEIR), at which the use of leverage is neither favorable nor unfavorable is 15%

Chen Company's Small Motor Division manufactures a number of small motors used in household and office appliances. The Household Division of Chen then assembles and packages such items as blenders and juicers. Both divisions are free to buy and sell any of their components internally or externally. The following costs relate to small motor LN233 on a per unit basis.
Fixed cost per unit $5.20
Variable cost per unit $10.81
Selling price per unit $34.55
Assuming that the Small Motor Division has excess capacity, compute the minimum acceptable price for the transfer of small motor LN233 to the Household Division. (Round answer to 2 decimal places.)
Minimum transfer price $ per unit
Assuming that the Small Motor Division does not have excess capacity, compute the minimum acceptable price for the transfer of the small motor to the Household Division. (Round answer to 2 decimal places.)

Answers

Answer:

See below

Explanation:

1. If the small motor division has excess capacity,

Minimum transfer price = Variable cost + Opportunity cost

Variable cost per unit = $10.81

Add:

Opportunity cost per unit = $0.00 (Because the company has sufficient excess capacity)

Minimum transfer price = $10.81

2. If the small motor division has excess capacity,

Minimum transfer price = Variable cost + Opportunity cost

Variable cost per unit = $10.81

Add:

Opportunity cost per unit = $23.74 (As the company has no excess capacity, contribution lost is the opportunity cost)

Minimum transfer price = $34.55

N.B

Contribution lost = Selling price per unit - Variable cost per unit

= $34,55 - $10.8 = $23.74

Below are several names of companies and their founders. Explain whether the business creates and sells innovative products or uses innovative methods or both

Answers

Answer:

my Answer is a products is notikdd

Answer each of the following independent questions. Required: Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $88,000 cash immediately, (2) $34,000 cash immediately and a six-period annuity of $9,300 beginning one year from today, or (3) a six-period annuity of $18,400 beginning one year from today. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) 1.1 Assuming an interest rate of 7%, determine the PV value for the above options.
1.2 Which option should Alex choose? Option (1) Option (2) Option (3)
2. The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2022. Weimer will make annual deposits of $175,000 into a special bank account at the end of each of 10 years beginning December 31, 2013. Assuming that the bank account pays 8% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2022?
Table of calculation function?
Payment?
N?
I?
Future value?

Answers

Answer:

option 1

$4,056,237.49

Explanation:

To determine the better option, we have to determine the present value of options 2 and 3

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

option 2

Cash flow in year 0 = $34,000

Cash flow in year 1  to 6 =  $9,300  

I = 7 %

PV =  78,328.82

Option 2

Cash flow in year 1  to 6 =  $$18,400

I = 7 %

PV = 87704.33

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

It is the first option that has the highest value

The formula for calculating future value = A / annuity factor

Annuity factor = {[(1+r) n] - 1} / r

P = Present value  

R = interest rate  

N = number of years  

The cost of direct materials transferred into the Bottling Department of the Mountain Springs Water Company is $327,600. The conversion cost for the period in the Bottling Department is $528,000. The total equivalent units for direct materials and conversion are 25,200 and 8,800 liters, respectively. Determine the direct materials and conversion cost per equivalent unit. Round your answers to the nearest cent. $fill in the blank 1 per equivalent unit of materials $fill in the blank 2 per equivalent unit of conversion costs

Answers

Answer:

$13 per Equivalent Unit of Materials,

$60 per Equivalent Unit of Conversion Costs

Explanation:

Calculation to Determine the direct materials and conversion cost per equivalent unit

Direct materials equivalent units=($327,600/25,200 liters )

Direct materials equivalent units=$13

Conversion Costs equivalent units

=($528,000/8,800 liters)

Conversion Costs equivalent units= $60

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