A sum of $5,000 is invested for five years with varying annual interest rates of 9%, 8%, 12%, 6%, and 15%, respectively (for example, in the first year 9% interest is accrued and 8% in the second year and so on). The future amount after 5 years is equal to ____________.

Answers

Answer 1

Answer:

The future amount after 5 years is equal to $8,036.04.

Explanation:

This can be calculated using the future value (FV) formula as follows:

FV after 1 year = Invested amount * (100% + Year 1 interest rate)^Number of year = $5,000 * (100% + 9%)^1 =  $5,450.00

FV after 2 years = FV after 1 year * (100% + Year 2 interest rate)^Number of year = $5,450 * (100% + 8%)^1 = $5,886.00

FV after 3 years = FV after 2 years * (100% + Year 3 interest rate)^Number of year = $5,886 * (100% + 12%)^1 = $6,592.32

FV after 4 years = FV after 3 years * (100% + Year 4 interest rate)^Number of year = $6,592.32 * (100% + 6%)^1 = $6,987.86

FV after 5 years = FV after 4 years * (100% + Year 5 interest rate)^Number of year = $6,987.86 * (100% + 15%)^1 = $8,036.04

Therefore, the future amount after 5 years is equal to $8,036.04.

Note: The number of year used in each of the calculation above is 1 because the interest was changing after one year.


Related Questions

Cathay Pacific Airlines determined that many travelers were avoiding Hong Kong because of lengthy delays at immigration. The company addressed the problem by helping the Government to hire additional inspectors. This is an example:

Answers

Answer:

Proactive Environmental Response

Explanation:

Given that Proactive Environmental Response is a form of the strategy employed by organizations to tackle many issues relating to production and business process, such as resource productivity, material exchanges, innovative manufacturing process, etc.

Hence when the Cathay Pacific Airlines company addressed the problem described in the question by helping the Government to hire additional inspectors, the purpose is to improve resource productivity in its immediate environment which is an example of "Proactive Environmental Response."

Under FINRA rules, if a member suspects that a senior citizen is being financially exploited: A a freeze can be placed on all disbursements from the account for up to 10 business days B a freeze can be placed for up to 10 business days on suspicious disbursements from the account, but not on other non-suspicious disbursements C a freeze can be placed on all disbursements from the account for up to 15 business days D a freeze can be placed for up to 15 business days on suspicious disbursements from the account, but not on other non-suspicious disbursements Review

Answers

Answer: D. a freeze can be placed for up to 15 business days on suspicious disbursements from the account, but not on other non-suspicious disbursements

Explanation:

Under FINRA rules, if a member suspects that a senior citizen is financially exploited, the following can occur:

• a freeze can for up to 15 business days can be placed on the suspicious disbursement.

• Another 10 days can be added in case if the review of a member is supported.

• The disbursements will be from the account, but not on the other non-suspicious disbursements.

Therefore, based on the above, the correct option is D.

Assignable variation: leads to a steep OC curve. is a sign that a process is under control. is to be identified and investigated. is the same as random variation. is variation that cannot be traced to a specific cause.

Answers

Answer:

is to be identified and investigated

Explanation:

Assignable variation is the distribution of non-random outcomes that could caused due to the individual factor and can be identified

So as per the given situation, it required to be identified and investigated and the same should be removed or eliminated

hence, the above represent the answer

a. A new operating system for an existing machine is expected to cost $616,000 and have a useful life of six years. The system yields an incremental after-tax income of $180,000 each year after deducting its straight-line depreciation. The predicted salvage value of the system is $40,000.
b. b. A machine costs $440,000, has a $32,000 salvage value, is expected to last eight years, and will generate an after-tax income of $90,000 per year after straight-line depreciation. Assume the company requires a 12% rate of return on its investments.

Required:
Compute the net present value of each potential investment.

Answers

Answer:

a. Net present value = $539,013.67

b. Net present value = $273,361.47

Explanation:

a. A new operating system for an existing machine is expected to cost $616,000 and have a useful life of six years. The system yields an incremental after-tax income of $180,000 each year after deducting its straight-line depreciation. The predicted salvage value of the system is $40,000.

Annual depreciation = (Expected machine cost – Predicted salvage value) / Number of useful life = ($616,000 - $40,000) / 6 = $96,000

Annual cash inflows = Annual incremental after-tax income + annual depreciation = $180,000 + $96,000 = $276,000

Present value of the annual cash inflow = Annual cash inflows * ((1 - [1 / (1 + required rate of return)]^Number of years) / required rate of return) = $276,000 * ((1 - [1 / (1 + 0.12)]^6) / 0.12) = $276,000 * 4.11140732352233 = $1,134,748.42

Present value of predicted salvage value = Predicted salvage value / (1 + required rate of return)^Number of years = $40,000 / (1 + 0.12)^6 =  $20,265.24

Net present value = Present value of the annual cash inflow + Present value of predicted salvage value - Expected machine cost) = $1,134,748.42 + $20,265.24 - $616,000 = $539,013.67

b. A machine costs $440,000, has a $32,000 salvage value, is expected to last eight years, and will generate an after-tax income of $90,000 per year after straight-line depreciation.

Annual depreciation = (Machine cost – Salvage value) / Number of useful life = ($440,000 - $32,000) / 8 = $51,000

Annual cash inflows = Annual incremental after-tax income + annual depreciation = $90,000 + $51,000 = $141,000

Present value of the annual cash inflow = Annual cash inflows * ((1 - [1 / (1 + required rate of return)]^Number of years) / required rate of return) = $141,000 * ((1 - [1 / (1 + 0.12)]^8) / 0.12) = $141,000 * 4.96763976683859 = $700,437.21

Present value of salvage value = Salvage value / (1 + required rate of return)^Number of years = $32,000 / (1 + 0.12)^8 = $12,924.26

Net present value = Present value of the annual cash inflow + Present value of salvage value - Machine cost) = $700,437.21 + $12,924.26 - $440,000 = $273,361.47

assume a company uses the weighted average method in its processing costing august 1 balance 62000 and materials 310,000 consisted of 6000 units with 40500 in materials during august 48000 units were installed into production consisted of 8000 units that were 100% with respect to mateirals the materials cost included in the refining departement ending work in process inventory is closest to

Answers

Answer:

see explanation

Explanation:

Hi, your question is incomplete, I tried to look for it online but I could not find it. Here is an explanation on the steps to solve the problem.

Step 1 : Determine the Total Materials Cost

Total Materials Cost

Opening WIP cost                                      $310,000

Costs added during the period                  $40500

Total                                                           $350,500

Step 2 : Total Equivalent units for materials

Equivalent units for materials = Completed units + Equivalent units in ending work in process inventory.

Step 3 : Unit equivalent cost for materials

Unit equivalent cost = Total Cost ÷ Total equivalent units

Step 4 : ending work in process inventory cost

Ending work in process inventory = Unit equivalent cost x equivalent units in ending work in process with respect to materials

ensen Enterprises paid $1,300 in dividends and $920 in interest this past year. Common stock increased by $1,200 and retained earnings decreased by $310. What is the n

Answers

Answer: $990

Explanation:

Based on the information that we are given in the question, the net income will be calculated as:

= Dividends + Retained earnings

= $1300 + (-$310)

= $1300 - $310

= $990

Therefore, the net income is $990.

On January 1, 2021, Tennessee Harvester Corporation issued debenture bonds that pay interest semiannually on June 30 and December 31. Portions of the bond amortization schedule appear below: Payment Cash Payment Effective Interest Increase in Balance Outstanding Balance 5,694,713 1 213,000 227,789 14,789 5,709,502 2 213,000 228,380 15,380 5,724,882 3 213,000 228,995 15,995 5,740,877 4 213,000 229,635 16,635 5,757,512 5 213,000 230,300 17,300 5,774,812 6 213,000 230,992 17,992 5,792,804 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 38 213,000 276,119 63,119 6,966,089 39 213,000 278,644 65,644 7,031,733 40 213,000 281,267 68,267 7,100,000 Required: 1. What is the face amount of the bonds

Answers

Answer:

1. $7,100,000

2. $5,694,713

3. 20 years

4. Effective interest method

5. 6%

6. 8%

7. $8,520,000

8. $9,925,287

Explanation:

1. Based on the information given the FACE AMOUNT of the bonds will be the Ending outstanding balance of $7,100,000

Therefore the face amount of the bonds is $7,100,000

2. Based on the information given the INITIAL SELLING PRICE of the bonds will be the beginning Outstanding balance of $5,694,713

Therefore Initial Selling Price of the bonds is $5,694,713

3. Calculation to determine the term to maturity in years

Term to maturity=40 years/2 (Semi annually)

Term to maturity=20 years

Therefore the term to maturity in years is 40 years

4. Interest is determined by EFFECTIVE INTEREST METHOD approach

5. Calculation to determine the stated annual interest rate

Annual interest rate=$213,000/$7,100,000*2

Annual interest rate=6%

Therefore the stated annual interest rate is 6%

6. Calculation to determine effective annual interest rate

Effective Annual interest rate=$227,789/$5,694,713*2

Effective Annual interest rate=8%

Therefore effective annual interest rate is 8%

7. Calculation to determine the total cash interest paid over the term to maturity

Total cash interest paid=$213,000*40

Total cash interest paid=$8,520,000

Therefore the total cash interest paid over the term to maturity is $8,520,000

8. Calculation to determine the total effective interest expense recorded over the term to maturity

Effective interest expense=$8,520,000+($7,100,000-$5,694,713)

Effective interest expense=$8,520,000+$1,405,287

Effective interest expense=$9,925,287

Therefore the total effective interest expense recorded over the term to maturity is $9,925,287

Dakota Company has four customers: A, B, C, and D. The accounts receivable balance in the general ledger is $9,083 and the accounts receivable subsidiary ledger of customers A, C, and D have $1,746, $3,296, and $3,940, respectively. Calculate the amount in the accounts receivable subsidiary ledger account of customer B.

Answers

Answer:

$101

Explanation:

Calculation to determine the amount in the accounts receivable subsidiary ledger account of customer B.

Using this formula

Customer B accounts receivable amount=Accounts receivable balance- A,C ,D Accounts receivable subsidiary ledger

Let plug in the formula

Customer B accounts receivable amount=$9,083-$1,746-$3,296- $3,940

Customer B accounts receivable amount=$101

Therefore the amount in the accounts receivable subsidiary ledger account of customer B is $101

The Acme Company is a perfect competitor in its input markets and its output market. Its average product of labor is at its maximum and equals 30. The marginal revenue product of labor is $300. The price of its output is $

Answers

Answer:

$10

Explanation:

The computation of the price of the output is given below;

As per the given data

At the time when the average product is maximum, so the average product is equivalent to the marginal product

Therefore, AP = MP= 30

MRP = 300

Now

MRP = MP × MR

300= 30 × MR

MR= 300 ÷ 30

= 10

So,

 P= MR= 10

Tradable permits are likely to result in less inefficiency, relative to a pollution tax, when ... a. the marginal costs of damages are steep and the marginal costs of pollution reduction are relatively stable. b. the marginal costs of damages are steep and the marginal costs of pollution reduction are steep. c. the marginal costs of damages are relatively stable and the marginal costs of pollution reduction are relatively stable. d. the marginal costs of damages are relatively stable and the marginal costs of pollution reduction are steep. e. the marginal costs of damage are elastic and the marginal costs of pollution reduction are also elastic.

Answers

Answer:

a. the marginal costs of damages are steep and the marginal costs of pollution reduction are relatively stable.

Explanation:

Pollution can be defined as the physical degradation or contamination of the environment through an emission of harmful, poisonous and toxic chemical substances.

Offset trading refers to a type of trading system that is typically designed for the realization of more efficient pollution control.

This ultimately implies that, an offset trading is a strategic program that allows emerging business firms to pay existing business firms in order to significantly reduce their emissions or pollutants below a specific standard.

Free market in tradable pollution permits simply means giving manufacturing companies and individuals the legal right to pollution of the environment. For example, XYZ company is purchasing the permit of 500 units of carbon dioxide (CO2) pollution annually, this simply means it is permitted to pollute the environment by 500 units of CO2 annually.

Additionally, a free market in tradable pollution permits has some sort of benefits as companies can resell their unused permits or devise a cheaper means of reducing pollution. It also compensate companies that significantly reduces its pollution of the environment.

A pollution tax can be defined as a type of tax imposed on business firms that causes pollution and damages to the environment. It is also referred to as Pigovian tax which is a tax on goods with negative externality.

Hence, tradable permits when compared with pollution tax are likely to result in less inefficiency, when the marginal costs of damages are steep and the marginal costs of pollution reduction are relatively stable.

Zhao Co. has fixed costs of $354,000. Its single product sells for $175 per unit, and variable costs are $116 per unit. If the company expects sales of 10,000 units, compute its margin of safety in dollars and as a percent of expected sales.

Answers

Answer:

Results are below.

Explanation:

First, we need to calculate the break-even point in units and sales dollars:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 354,000 / (175 - 116)

Break-even point in units= 6,000

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 354,000 / (59 / 175)

Break-even point (dollars)= $1,050,000

Now, the margin of safety and margin of safety rate:

Margin of safety= (current sales level - break-even point)

Margin of safety= (10,000*175) - 1,050,000

Margin of safety= $700,000

Margin of safety ratio= (current sales level - break-even point)/current sales level

Margin of safety ratio= 700,000 / 1,750,000

Margin of safety ratio= 0.4= 40%

g If the price elasticity of demand is 4, a 5 percent decrease in price will increase quantity demanded by

Answers

Answer: 20%

Explanation:

The price elasticity of demand shows the increase in quantity demanded as a result of a decrease in price and vice versa.

It is calculated by the formula:

Price elasticity of demand = Change in quantity demanded / Change in price

The formula can therefore be used to find the increase in quantity. Price elasticities are usually denoted in negatives even if not shown so:

-4 = x / -5%

x = -4 * -5%

x = 20%

On January 1, a machine with a useful life of 4 years and a salvage value of $20000 was purchased for $84000. What is the depreciation expense for year 2 under straight-line depreciation

Answers

Answer:

Annual depreciation (2nd year)= $16,000

Explanation:

Giving the following information:

Purchase price= $84,000

Salvage value= $20,000

Useful life= 4 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (Purchase price - salvage value)/estimated life (years)

Annual depreciation= (84,000 - 20,000) / 4

Annual depreciation= $16,000

A security with only diversifiable risk has an expected return that exceeds the riskfree rate of return

Answers

State whether the following is inconsistent with an efficient capital market, the CAPM, or both:

Security with only diversifiable risk has an expected return that exceeds the riskfree rate of return

Answer:

This statement is inconsistent with both.

Explanation:

The statement made in the question is inconsistent with both the Capital Asset Pricing Model (CAPM) and an efficient capital market because both models state that the cost of capital depends only on systematic risk or non-diversifiable risk. Thus the statement contradicts the models of the CAPM and Efficient Capital Market.

The competitive industry of children's pajamas is in long-run equilibrium when a new government safety regulation raises the average cost of children's pajamas by $2 per pair. If this is a constant cost industry, then what happens to the price of children's pajamas in the long run?

Answers

Answer:

Long-run profits will remain the same.

Explanation:

A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.  

In the long run, firms earn zero economic profit.  If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.  

Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.  

Fortune, Inc., is preparing its master budget for the first quarter. The company sells a single product at a price of $25 per unit. Sales (in units) are forecasted at 45,000 for January, 55,000 for February, and 50,000 for March. Cost of goods sold is $14 per unit. Other expense information for the first quarter follows. Commissions 8 % of sales dollars Rent $ 14,000 per month Advertising 15 % of sales dollars Office salaries $ 75,000 per month Depreciation $ 40,000 per month Interest 5 % annually on a $250,000 note payable Tax rate 30 % Prepare a budgeted income statement for this first quarter. (Round your final answers to the nearest whole dollar.)

Answers

Answer:

Fortune, Inc.

Budgeted Income Statement for the first quarter

Sales Revenue                    $3,750,000

Cost of goods sold                2,100,000

Gross profit                         $1,650,000

Expenses

Sales commission                   300,000

Rent                                           42,000

Advertising                             562,250

Office salaries                        225,000

Depreciation                           120,000

Interest                                        3,125

Total expenses                 $1,252,375

Income before tax              $397,625

Tax (30%)                                119,288

Net income                         $278,337

Explanation:

a) Data and Calculations:

Selling price per unit = $25

                                       January       February         March          Total

Sales (in units)                 45,000        55,000         50,000       150,000

Sales revenue           $1,125,000 $1,375,000  $1,250,000  $3,750,000

Cost of goods sold       630,000     770,000       700,000     2,100,000

Gross profit                $495,000   $605,000    $550,000  $1,650,000

Expenses:

Sales commission        $90,000    $110,000     $100,000    $300,000

Rent expense                  14,000        14,000         14,000         42,000

Advertising expense    168,750     206,250       187,500      562,250

Office salaries                75,000       75,000        75,000      225,000

Depreciation                  40,000       40,000        40,000       120,000

Interest expense                                                                           3,125

Total expenses                                                                   $1,252,375

Income before tax                                                                $397,625

Tax (30%)                                                                                  119,288

Net income                                                                           $278,337

When your father was born 48 years ago, his grandparents deposited $250 in an account for him. Today, that account is worth $36,500. What was the annual rate of return on this account

Answers

Answer:

10.94%

Explanation:

Your father was born 48 years ago

His grandfather deposited $250 in an account for him

Today the money is worth $36,500

The annual rate of his return can be calculated as follows

= 36500/250 ×1/48= (1+r/100)

= 146^0.020833= (1+r/100)

= 1.1094-1

= 0.10940×100

= 10.94%

You have been given $5 million to market Kaiser health insurance to new college graduates in California. Briefly mention how you will spend the $5 million in an attempt to motivate new graduates to sign up for Kaiser health insurance. Include a brief rationale for your marketing plan.

Answers

Answer:

You have been given $5 million to market Kaiser health insurance to new college graduates in California. Briefly mention how you will spend the $5 million in an attempt to motivate new graduates to sign up for Kaiser health insurance. Include a brief rationale for your marketing plan.

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