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Alex73 [517]
3 years ago
14

An engineer who believes in "save now and play later" wanted to retire in 25 years with $1 million. At 10% per year interest, to

reach the $1 million goal, starting 1 year from, the engineer must annually invest:____________.
Business
1 answer:
Talja [164]3 years ago
6 0

Answer:

He must deposit $10,168.07 per year to reach the future value of $1,000,000.

Explanation:

Giving the following information:

Final value= 1,000,000

n= 25

Interest rate= 10%

We need to calculate the annual deposit necessary to reach the goal of $1,000,000.

To calculate the annual deposit, we need to use the following variation of the future value formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (1,000,000*0.1) / [(1.10^25) - 1]

A= $10,168.07

He must deposit $10,168.07 per year to reach the future value of $1,000,000.

You might be interested in
Kathy Myers frequently purchases stocks and bonds, but she is uncertain how to determine the rate of return that she is earning.
Andre45 [30]

Answer:

The net present value is $1,224.886

Explanation:

The computation of the Net present value is shown below

= Present value of all yearly cash inflows after applying discount factor - initial investment

The discount factor should be computed by

= 1 ÷ (1 + rate) ^ years

where,  

rate is 14%  

Year = 0,1,2,3

Discount Factor:

For Year 1 = 1 ÷ 1.14^1 = 0.8772

For Year 2 = 1 ÷ 1.14^2 = 0.7695

For Year 3 = 1 ÷ 1.14^3 = 0.675

So, the calculation of a Present value of all yearly cash inflows are shown below

= Year 1 cash inflow × Present Factor of Year 1 + Year 2 cash inflow × Present Factor of Year 1 + Year 3 cash inflow + sale value × Present Factor of Year 1

= $420× 0.8772 + $420 × 0.7695 + $420 + $16,000 × 0.675

= $368.424 + $323.19 + $110,83.50

= $11,775.114

So, the Net present value equals to

= $13,000 - $11,775.114

= $1,224.886

We take the first four digits of the discount factor.

5 0
3 years ago
On January 1, 2021, Bishop Company issued 6% bonds dated January 1, 2021, with a face amount of $33 million. The bonds mature in
Allisa [31]

Answer:

a. Determine the price of the bonds at January 1, 2021.

market price:

PV of face value = $33,000,000 / 1.04²⁰ = $15,060,769

PV of coupon payments = $990,000 x 13.590 (PV annuity factor, 4%, 20 periods) = $13,454,100

market price = $28,514,869

b. Prepare the journal entry to record the bond issuance by Bishop on January 1, 2021.

Dr Cash 28,514,869

Dr Discount on bonds payable 4,485,131

    Cr Bonds payable 33,000,000

c. Prepare the journal entry to record interest on June 30, 2021, using the effective interest method.

amortization of bond discount = ($28,514,869 x 4%) - $990,000 = $150,595

Dr Interest expense 1,140,595

    Cr Cash 990,000

    Cr Discount on bonds payable 150,595

d. Prepare the journal entry to record interest on December 31, 2021, using the effective interest method.

amortization of bond discount = ($28,665,464 x 4%) - $990,000 = $156,619

Dr Interest expense 1,146,619

    Cr Cash 990,000

    Cr Discount on bonds payable 156,619

4 0
3 years ago
The typical family on the Planet Econ consumes 10 pizzas, 7 pairs of jeans, and 20 gallons of milk. In 2016, pizzas cost $10 eac
grin007 [14]

Answer:

decreased by 4.5%

Explanation:

A family consumes: 10 pizzas, 7 pairs of jeans, and 20 gallons of milk.

In 2016, pizzas cost $10 each, jeans cost $40 per pair, and milk cost $3 per gallon.

The family's total cost of living in 2016 is:

C_{2016} = 10*\$10 +7*\$40 +20*\$3\\C_{2016} = \$440

In 2017, pizzas cost $8 each, jeans cost $40 per pair, and milk cost $3 per gallon.

The family's total cost of living in 2017 is:

C_{2017} = 10*\$8 +7*\$40 +20*\$3\\C_{2016} = \$420

The change, in percentage, of a typical family's cost of living is:

R=\frac{C_{2017}-C_{2016}}{C_{2016}} \\R=\frac{420-440}{440} \\R=0.045\ or\ 4.5\%

The cost of living decreased by 4.5%

5 0
3 years ago
George recently purchased a computer from HardDigits Inc., a firm that sells assembled desktop computers and other electronic pr
Olin [163]

Answer:

The correct answer is Product Bundling.

Explanation:

The product bundling refers to a sales strategy that includes a defined number of products that are offered as one. This practice is increasingly common in companies that are trying to penetrate the market or want to exit products that are close to expiration or depreciation due to technology. The buyer sees an opportunity to purchase certain products that they could not have done when they are just in the stage of maturing sales.

5 0
3 years ago
The June 1 work in process inventory consisted of 5,000 units with $16,000 in materials cost and $12,000 in conversion cost. The
sveticcg [70]

Answer:

Total cost added including beginning inventory

Raw material = $136,000

Overheads = $180,960

Total = $316,960

Explanation:

As provided the opening Work in process units = 5,000 units

Units started during the period = 37,500 questions

Closing work in process = 8,000 units

That means units produced = opening + additions - closing

= 5,000 + 37,500 - 8,000 = 34,500 units

Provided cost of beginning inventory = $16,000 for raw material and $12,000 for overheads

Also it is 100% complete for raw material and 50% complete for overheads

That means raw material per unit = $16,000/5,000 = $3.20

And the overheads 100% = $12,000 \times 2 = $24,000

Overhead per unit = $24,000/5,000 = $4.80

Therefore, cost added during the period

Shall be

Raw material = 100% = 5,000 + 37,500 = 42,500 \times $3.20 = $136,000

Overheads = for 34,500 units 100% and remaining 8,000 = 40%

= 34,500 \times $4.80 + 8,000 \times $4.80 \times 40%

= $165,600 + $15,360

= $180,960

Total = $316,960

7 0
3 years ago
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