Lily Products Company is considering an investment in one of two new product lines. The investment required for either product line is $540,000. The net cash flows associated with each product are as follows: Year Liquid Soap Body Lotion 1 $170,000 $ 90,000 2 150,000 90,000 3 120,000 90,000 4 100,000 90,000 5 70,000 90,000 6 40,000 90,000 7 40,000 90,000 8 30,000 90,000 Total $720,000 $720,000 a. Recommend a product offering to Lily Products Company, based on the cash payback period for each product line.

Answers

Answer 1

Answer and Explanation:

The computation of the payback period for each product line is as follows

                               (in dollars)

Year Liquid Soap    Cumulative   Body lotion   Cumulative

1       170,000             170,000        90,000          90,000

2      150,000             320,000      90,000          180,000

3      120,000             440,000      90,000          270,000

4      100,000            540,000     90,000         360,000

5      70,000               610,000       90,000        450,000

6      40,000               650,000     90,000          540,000

7      40,000               690,000     90,000          630,000

8     30,000                720,000     90,000         720,000

So, the Payback period for Liquid soap is 4 years and Payback Period for Body Lotion is 6 Years  respectively

Therefore we suggest liquid soap as it contains better paypack period as compared with the body lotion


Related Questions

Bonita Industries reported net income of $58000 for the year ended December 31, 2021 Included in net income were depreciation expense of $8800 and a gain on sale of equipment of $2200. Each of the following accounts increased during 2021: Accounts receivable $2800 Inventory $4100 Prepaid rent $7400 Available-for-sale securities $1100 Accounts payable $4800 What is the amount of cash provided by operating activities for Bonita Industries for the year ended December 31, 2021?

Answers

Answer:

the Cash provided by operating activities is $55,100

Explanation:

The computation of the cash provided by operating activities is shown below;

Cash provided by operating activities:

= Net income + Depreciation - Gain on sale or asset - Increase in accounts receivable - Increase in inventory - Increase in prepaid rent + Increase in accounts payable

= $58,000 + $8,800 - $2,200 - $2,800 - $4,100 - $7,400 + $4,800

= $55,100

Hence, the Cash provided by operating activities is $55,100

If consumers view the output of any firm in a market to be identical to the output of any other firm in the market, the demand curve for the output of any given firm A. will be identical to the market demand curve. B. will be horizontal. C. will be vertical. D. cannot be determined from the information given.

Answers

Answer:

B. will be horizontal.

Explanation:

In the case when the firm is in the perfect competition market so here the demand curve would be horizontal as because of the same product and also the transaction cost is lesser that means if someone rise the prices so the producer would lost all its revenue

Therefore as per the given situation, the option b is correct

Stock P has a beta of 0.9. The risk-free rate of return is 8 percent, while the return on the market portfolio of assets is 14 percent. The stock's risk premium is ________.

Answers

Answer:

The appropriate solution is "13.4%". A further explanation is described below.

Explanation:

The given values are:

Return rate,

Rf = 8%

Market return,

Rm = 14%

beta,

= 0.9

Now,

The assets required rate will be:

= [tex]Rf + (Rm-Rf)\times beta[/tex]

On putting the given values, we get

= [tex]8 + (14-8)\times 0.9[/tex]

= [tex]8+6\times 0.9[/tex]

= [tex]8+5.4[/tex]

= [tex]13.4[/tex] (%)

Based on the information given the stock's risk premium is 6%.

Using this formula

Stock's risk premium = Return on the market - Risk free rate

Where:

Return on the market=14%

Risk free rate=8%

Let plug in the formula

Stock's risk premium = 14% - 8%

Stock's risk premium = 6%

Inconclusion the stock's risk premium is 6%.

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Calla Company produces skateboards that sell for $56 per unit. The company currently has the capacity to produce 95,000 skateboards per year, but is selling 81,800 skateboards per year. Annual costs for 81,800 skateboards follow. Direct materials $ 981,600 Direct labor 613,500 Overhead 954,000 Selling expenses 558,000 Administrative expenses 477,000 Total costs and expenses $ 3,584,100 A new retail store has offered to buy 13,200 of its skateboards for $51 per unit. The store is in a different market from Calla's regular customers and would not affect regular sales. A study of its costs in anticipation of this additional business reveals the following: 1. Direct materials and direct labor are 100% variable. 2. 50 percent of overhead is fixed at any production level from 81,800 units to 95,000 units; the remaining 50% of annual overhead costs are variable with respect to volume. 3. Selling expenses are 70% variable with respect to number of units sold, and the other 30% of selling expenses are fixed. 4. There will be an additional $1.60 per unit selling expense for this order. 5. Administrative expenses would increase by a $890 fixed amount.Required: Prepare a three-column comparative income statement that reports the following: a. Annual income without the special order. b. Annual income from the special order. c. Combined annual income from normal business and the new business.(Do not round your intermediate calculation round your cost and expenses values to nearest whole decimal places.)

Answers

Answer:

Calla Company

Three-column comparative Income Statement:

                                                  Normal         Special order       Total

Sales Revenue                       $4,580,800         $673,200     $5,254,000

Cost of sales:

Direct materials                      $ 981,600           $158,400       $1,140,000

Direct labor                                613,500              99,000            712,500

Overhead                                  954,000              76,973         1,030,973

Selling expenses                      558,000               84,151             642,151

Administrative expenses          477,000                  890            477,890

Total costs and expenses  $ 3,584,100           $419,414      $4,003,514

Net income                           $ 996,700         $ 253,786     $1,250,486

Explanation:

a) Data and Calculations:

Annual production capacity = 95,000 units

Actual annual production and sales = 81,800 units

Special order (units) = 13,200

Selling price (normal) = $56 per unit

Special order selling price = $51 per unit

Direct materials                      $ 981,600

Direct labor                                613,500

Overhead                                  954,000

Selling expenses                      558,000

Administrative expenses          477,000

Total costs and expenses  $ 3,584,100

Three-column comparative Income Statement:

                                                  Normal         Special order       Total

Sales volume                             81,800                  13,200         95,000

Selling price                                $56                     $51    

Sales Revenue                       $4,580,800         $673,200     $5,254,000

Cost of sales:

Direct materials                      $ 981,600           $158,400       $1,140,000

Direct labor                                613,500              99,000            712,500

Overhead                                  954,000              76,973         1,030,973

Selling expenses                      558,000               84,151             642,151

Administrative expenses          477,000                  890            477,890

Total costs and expenses  $ 3,584,100           $419,414      $4,003,514

Net income                           $ 996,700         $ 253,786     $1,250,486

1. Direct materials cost per unit = $981,600/81,800 = $12

2. Direct labor cost per unit = $613,500/81,800 = $7.50

3. Variable Overhead cost = $954,000/2 = $477,000

Variable overhead cost per unit = $477,000/81,800 = $5.83129

4. Variable selling expenses = 70% of $558,000 = $390,600

Variable selling expenses per unit = $390,600/81,800 = $4.77506

Additional selling expense per unit = $6.37506 ($4.77506 + $1.60)

Selling expense for special order = 84,151($6.37506 * 13,200)

5. Administrative expenses increased by $890

What are four great aspects of your personality??

Answers

Answer: I am responsible, friendly, hard-working, and empathetic.

Explanation: Regarding responsibility, I am someone who always tries to do his job, doing his best. I am kind as I treat each person with respect and without an overbearing attitude. I am a hard worker since I do not rest until I have my work ready and as a psychologist every day I learn to be more empathetic, to put myself in the place of the other, and thus understand their situation.

The efficient market hypothesis has several forms. The weak form states that past price data is unrelated to future prices. prices reflect all public information. all information both public and private is immediately reflected in stock prices. none of these options are true.

Answers

Answer:

past price data is unrelated to future prices.

Explanation:

The efficient market hypothesis (EMH) is a theory of investment in which it proves that it is unattainable to strike the stock market.

Here there are 3 forms that is a weak one, semi-strong one and strong one

In the weak form it implies that there is an efficient market that represent the market information also the market rate of return is independent but the the rates that are in past have no impact on the future rates

therefore the first option is correct

What are the effects of rapid inflation? Check all that apply.

Interest rates increase.
Banks loan more money.
Unemployment declines.
Uncertainty increases.
Real income declines.

Answers

Answer:

1, 4 , 5 on edge

Explanation:

Answer: A D & E

Explanation:

The specific identification method of costing inventories is used when the company sells large quantities of relatively low-cost homogeneous items. physical flow of units cannot be determined. company sells a limited quantity of high-unit cost items. company sells large quantities of relatively low-cost heterogeneous items.

Answers

Answer:

company sells a limited quantity of high-unit cost items.

Explanation:

A specific identification method can be defined as a method used for determining the ending inventories cost.

Basically, this type of method for costing inventories typically involves doing a well-detailed physical count of each goods bought on a specific date or a particular period of time, so as to determine the exact number of goods remaining by the end of the year's inventory. Therefore, each of the goods purchased are tagged with their unit price and any other additional charges.

Hence, the specific identification method of costing inventories is used when the company sells a limited quantity of high-unit cost items.

Lite Travel Company's accounting records include the following information:
Payments to suppliers $49,000
Collections on accounts receivable 77,000
Cash sales 47,000
What is the amount of net cash provided by operating activities indicated by the amounts provided?
S Company reported net income for 2016 in the amount of $440,000. The company's financial statements also included the following:
Increase in accounts receivable $ 83,000
Decrease in inventory 63,000
Increase in accounts payable 240,000
Depreciation expense 107,000
Gain on sale of land 148,000
What is net cash provided by operating activities under the indirect method?

Answers

Answer:

1. Lite Travel Company

The amount of net cash provided by operating activities is:

$75,000.

2. S Company

The net cash provided by operating activities under the indirect method is:

$767,000.

Explanation:

a. Data and Calculations:

1. Payments to suppliers                ($49,000 )

Collections on accounts receivable  77,000

Cash sales                                          47,000

Net cash provided by operations $ 75,000

2. Net Income                                 $440,000

Add Depreciation expense               107,000

Adjusted cash flow                        $547,000

Increase in accounts receivable      (83,000 )

Decrease in inventory                       63,000

Increase in accounts payable         240,000

Net cash provided by operations $767,000

b) The net cash provided by operating activities represents the cash that an entity generates from its normal operating activities as separate from other sources like financing and investing activities.

what is double book keeping entry in accounting?

Answers

Answer:

Explanation:

Double-entry bookkeeping is an accounting system where every transaction is recorded in two accounts: a debit to one account and a credit to another.

g Suppose the working-age population of a fictional economy falls into the following categories: 30 are retired; 45 are stay-at-home parents; 120 are employed full time; 40 are employed part time; 25 are unemployed but are actively looking for employment; 15 are unemployed and are not actively looking for employment. The official unemployment rate as calculated by the BLS would be

Answers

Answer: 13.5%

Explanation:

The Unemployment rate takes into account those who are of working age and willing to and actively seeking work.

Total labor force = 120 + 40 + 25 = 185

Unemployed = 25 people

Unemployment rate = 25/185

= 13.5%

Lump-sum taxes are rarely used in the real world because:_______________
a. while lump-sum taxes have low administrative burdens, they have high deadweight losses.
b. while lump-sum taxes have low deadweight losses, they have high administrative burdens.
c. lump-sum taxes are often viewed as unfair because they take the same amount of money from both poor and rich.
d. lump-sum taxes are very inefficient.

Answers

Answer:

c. lump-sum taxes are often viewed as unfair because they take the same amount of money from both poor and rich.

Explanation:

To understand this question, you have to first understand what lump-sum taxes are.

Lump-sum taxes are a system of taxes where everybody pays the same amount of tax no matter their economic status, or their actions. Basically, lump-sum taxes take the same amount of money from the rich and the poor, hugely increasing the burden on the poor and lessening that of the rich.

As an example, a lump-sum tax of $100 would require everybody to pay $100. To a person earning, say $120, that would be a huge hit, and be a huge burden on his normal life. However, to a rich person who earns, say, $10000, that would be much more easier for the rich person.

Hence, lump-sum taxes are often viewed as unfair because of the unfair advantage the rich have over the poor in tax-paying.

Hope this helped!

Keating Co. is considering disposing of equipment with a cost of $77,000 and accumulated depreciation of $53,900. Keating Co. can sell the equipment through a broker for $28,000 less 5% commission. Alternatively, Gunner Co. has offered to lease the equipment for five years for a total of $47,000. Keating will incur repair, insurance, and property tax expenses estimated at $12,000 over the five-year period. At lease-end, the equipment is expected to have no residual value. The net differential income from the lease alternative is $10,080 $5,880 $12,600 $8,400

Answers

Answer:

$8,400

Explanation:

net differential income = total lease revenue - costs associated to leasing the equipment - net selling price

total lease revenue = $47,000costs associated to lease = $12,000net selling price = $28,000 x (1 - 5%) = $26,600

net differential revenue = $47,000 - $12,000 - $26,600 = $8,400

Flavor Enterprises has been approached about providing a new service to its clients. The company will bill clients $180 per hour; the related hourly variable and fixed operating costs will be $85 and $14, respectively. If all employees are currently working at full capacity on other client matters, the per-hour opportunity cost of being unable to provide this new service is:

Answers

Answer:

Flavor Enterprises

The per-hour opportunity cost of being unable to provide this new service is:

$81.

Explanation:

a) Data and Calculations:

Amount billable to clients per hour = $180

Variable operating cost per hour = $85

Fixed operating cost per hour =        14

Total operating cost per hour =      $99

Opportunity cost = $180 - $99 = $81

b) The opportunity cost for Flavor Enterprises being unable to provide this new service is the net benefit that the enterprise will loss.  While it costs the enterprise a total of $99 in operating cost per hour, the enterprise will receive $180 per hour in revenue.  Therefore, the net benefit lost if the service is not provided per hour is the difference between the $180 revenue and the $99 operating costs, which equals $81.

Consider a Bertrand duopoly. Market demand is P(Q)=41-3Q, and each firm faces a marginal cost of $6 per unit. What is the sum of both firms' revenue in the Nash equilibrium? Enter a number only, no $ sign.

Answers

Answer:

$70.14

Explanation:

The Bertrand duopoly condition  (Nash equilibrium condition) be: P =MC

Here, P = 41 - 3Q

P = MC

41 - 3Q = 6

3Q = 41-6

3Q = 35

Q = 35 / 3

Q = 11.6667

Q = 11.67

Total demand (Q) = Q1 + Q2 (Q1 = Firm 1 Output, Q2 = Firm 2 Output)

Q = Q1 + Q2

11.67 = Q1 + Q2

So price be: P = MC ==> P = 6

Sum of both firm revenue = (Price)*Total quantity)

= $6 * (Q)

= $6 * (Q1 + Q2)

= $6 * (11.69)

= $70.14

So therefore, the sum of both firms' revenue in the Nash equilibrium is 70.14

Suppose that for a particular firm the only variable input into the production process is labor and that output equals zero when no workers are hired. In addition, suppose that the average total cost when 5 units of output are produced is $60, and the marginal cost of the sixth unit of output is $120. What is the average total cost when six units are produced

Answers

Answer:

Suppose that for a particular firm the only variable input into the production process is labor and that output equals zero when no workers are hired. In addition, suppose that the average total cost when 5 units of output are produced is $60, and the marginal cost of the sixth unit of output is $120. What is the average total cost when six units are produced

What is the Net Present Value of the following cash flow streams at an interest rate of 8.25%: at year : sor year 1: $75 year 2: $225; year 3: S0 and year 4 $300,

Answers

Answer:

the net present value is $480

Explanation:

The computation of the net present value is shown below

Year  Cash flows    discount rate     Present value

0        -$0                    1                      -$0

1        $75                0.924                   $69

2       $225             0.853                   $192

3         $0               0.788                    $0

4        $300           0.728                    $218

Net present value                              $480

hence, the net present value is $480

Jeffery Davids has invested in something that acts like a mutual fund and that invests in hospitals all over the country. He knows there are federal laws that require this type of investment to distribute at least 90 percent of the income to shareholders and that requires there be at least 100 shareholders. What type of investment has Jefferson made?

a. REIT
b. Foreclosure
c. Direct investment
d. Participation certificate
e. Limited partnership

Answers

Answer:

Option a: REIT

Explanation:

A REIT is simply known as Real Estate Investment Trust is a firm or organization that is responsible for pooling of investor funds and thereby investing them in real estate or uses them to so as to produce both construction and mortgage loans. REITS works by enabling companies to use the combined investments of many to purchase a real estate property and it allows both small and large investors to own a share of real estate.

Types of REITs includes Equity REITs which focus on own Properties and Mortgage REITs primarily focus own Mortgage Debt. People iinvest in REITS because it provide greater diversification, potentially higher total returns and/or lower overall risk.

Valley Manufacturing reported sales of $800,000, net operating income of $40,000, and average invested assets of $400,000. Based on this, Valley's investment turnover is:_____

Answers

Answer:

2

Explanation:

Calculation for Valley's investment turnover

Using this formula

Investment turnover=Sales/Average invested assets

Let plug in the formula

Investment turnover=$800,000/$400,000

Investment turnover=2

Therefore Valley's investment turnover is 2

Assume the sales budget for April and May is 47,000 units and 49,000 units, respectively. The production budget for the same two months is 44,000 units and 45,000 units, respectively. Each unit of finished goods required 3 pounds of raw materials. The company always maintains raw materials inventory equal to 30% of the following months production needs. If the company pays $2.80 per pound of raw material, then what is the estimated cost of raw material purchases for April

Answers

Answer:

Direct material cost= $372,120

Explanation:

To calculate the purchases of direct material for April, we need to use the following formula:

Purchases= production + desired ending inventory - beginning inventory

Production= 44,000*3= 132,000 pounds

Desired ending inventory= (45,000*3)*0.3= 40,500 pounds

Beginning inventory= (132,000*0.3)= 39,600 pounds

Purchases= 132,000 + 40,500 - 39,600

Purchases= 132,900 pounds

Direct material cost= 132,900*2.8= $372,120

In this discussion question you have the opportunity to be creative and to relate what you have learned to your professional lives. Please explore and critically think about some of the learning outcomes and concepts presented in this course. Please effectively communicate how you would lead an organization (or a group of people within the organization) by applying the knowledge you have learned ethically and responsibly. Your discussion should also include innovative thinking, and information-technology aspects (such as the Internet, social-media, computers, etc.) that may assist you in decision-making. You may frame your discussion around any functional component of business, and in any context; problem-solving, management, leadership, organizational behavior, etc.

Answers

Answer:

Creating a friendly culture will motivate the employees to attend work everyday, setting goals and targets with their input which makes the targets and goals look achievable, this will also motivate the employees and result in better performance. Sense of responsibility is also important if they are given a task they should be liable for it and they should be accountable for the work done by themselves this initiative will minimize mistakes and encourage perfection.

Explanation:

Creating a friendly culture will motivate the employees to attend work everyday, setting goals and targets with their input which makes the targets and goals look achievable, this will also motivate the employees and result in better performance. Sense of responsibility is also important if they are given a task they should be liable for it and they should be accountable for the work done by themselves this initiative will minimize mistakes and encourage perfection.

You are deciding between two recurring projects. Project A requires $100,000 initial investment and runs for 5 years. Project B requires an initial investment of $80,000 and will run for 3 years. However, due to the limited managerial attention, you will need to choose one out of these two projects. Please choose the appropriate methodology to compare these two projects. A. Net Present Value B. Profitability Index C. Equivalent Annual Annuity D. Return on Investments E. Discounted Payback Period

Answers

Answer:

C

Explanation:

Equivalent Annual Annuity is used to compare projects with unequal lifespans

Net present value is the present value of after-tax cash flows from an investment less the amount invested.

Discounted payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative discounted cash flows

profitability index = 1 + (NPV / Initial investment)

erlin Corporation owns a patent that has a carrying amount of $400,000. Merlin expects future net cash flows from this patent to total $250,000. The fair value of the patent is $310,000. Prepare journal entry, if necessary, to record the loss on Impairment

Answers

Answer:

An impairment has occurred because expected net future cash flow (250,000) are less than the carrying amount ($400,000). The loss is measured as the difference between the carrying amount and fair value ($310,000).

Date  Description and Explanation            Debit     Credit

          Loss on impairment                         $90,000

                  Patents ($400,000 - $310,000)             $90,000

           (To record the loss on Impairment)

Sony introduces a new compact music player to compete with Apple's iPod that carries a two-year warranty against manufacturer's defects. Based on industry experience with similar product introductions, warranty costs are expected to be approximately 3% of sales. By the end of the first year of selling the product, total sales are $29.4 million, and actual warranty expenditures are $140,000. What amount (if any) should Sony report as a liability at the end of the year

Answers

Answer:

the  warranty liability is $742,000.

Explanation:

The computation of the warranty liability is as follows;

= Expected warranty liability - actual warranty expenditure

= ($29.4 million × 3%) - $140,000

= $882,000 - $140,000

= $742,000

Hence, the  warranty liability is $742,000.

It could be come by applying the above formula so that the accurate amount could arrive

A zero coupon bond pays no interest-only it face value of $1,000 at maturity. One such bond has a maturity of 18 years and an initial price of $130. What annual interest rate is earned if the bond is bought when issued and held to maturity?

Answers

Answer:

12%

Explanation:

FV = PV*(1+i)^n

FV = 1000, PV = 130, i = annual interest rate, n = 18

∴ 1000 = 130*(1+i)^18

==> (1+i)^18 = 1000/130

==> 1+i = (1000/13)^(1/18)

i = 1.12001895 - 1

i = 0.12

i = 12%

Thus, the annual interest rate is 12%

In the Month of March, Digby received orders of 182 units at a price of $15.00 for their product Deal, and in April receives an order for 46 units of their product Deal at $15.00. Digby uses the accrual method of accounting and offers 30 day credit terms. Digby delivers 0 units in March, 182 units in April and 46 units in May. They received payment for 182 units in April, and payment for 46 units in May. How much revenue is recognized on the March income statement from this order

Answers

Answer: 0

Explanation:

Accrual accounting method simply means when revenue or expenses are written down and recorded at the time that the transaction took place and not when payment was gotten.

The revenue that is recognized on the March income statement will be 0. This is because the delivery was in April and none took place in March.

ABC Company was organized on January 1, 2021. The firm was authorized to issue 150,000 shares of $8 par value common stock. During 2021, ABC Company had the following transactions relating to stockholders' equity: Issued 45,000 shares of common stock at $10 per share. Issued 30,000 shares of common stock at $11 per share. Reported a net income of $150,000. Paid dividends of $75,000. What is total paid-in capital at the end of 2021

Answers

Answer: $780,000

Explanation:

The Paid-In Capital refers to the amount of Equity in the company which can also be said to be the amount of money raised from share sales;

= (45,000 * 10) + (30,000 * 11)

= $780,000

Becoming future proof means ensuring that you _________.
a.
Dress in classic business attire, resistant to style trends
b.
Will stay employed during any chaotic changes in your industry
c.
Are proficient in at least two programming languages
d.
Wait for the newest technology trends to become popular before learning them

Answers

Answer:

b.  Will stay employed during any chaotic changes in your industry

Explanation:

question:

Becoming future proof means ensuring that you _________.

a.

Dress in classic business attire, resistant to style trends

b.

Will stay employed during any chaotic changes in your industry

c.

Are proficient in at least two programming languages

d.

Wait for the newest technology trends to become popular before learning them

Answer:

i believe the answer your looking for is

b.

Will stay employed during any chaotic changes in your industry

Explanation:

the reason i think this is the answer is becuase i took an edgucated guess on the unit test review on edge 2020 and this was the same question and i picked b and i was correct

On January 1, Year 1, Missouri Co. purchased a truck that cost $32,000. The truck had an expected useful life of 10 years and a $3,000 salvage value. Missouri uses the double declining-balance method. What is the amount of depreciation expense recognized in Year 2?

Answers

Answer:

Annual depreciation= $4,640

Explanation:

Giving the following information:

Purchase price= $32,000

Useful life= 10 years

Salvage value= $3,000

To calculate the depreciation expense, we need to use the following formula each year:

Annual depreciation= 2*[(book value)/estimated life (years)]

Year 1:

Annual depreciation= 2*[(32,000 - 3,000) / 10]

Annual depreciation=  $5,800

Year 2:

Annual depreciation= 2*[(29,000 - 5,800)/10]

Annual depreciation= $4,640

You are the manager of a bank. You need to decide whether to approve a 10-year loan application from a 25 year old student to finance her MBA. The loan will yield a loss of $250 per year to the bank for the duration of the loan. After 10 years, the student will likely buy other products and therefore she will yield a profit of $500 per year until she is 65. After age 65, she will yield a profit of $1,000 per year until she is 85, when she will stop being a customer. The likelihood that she stops being a customer after she repays her MBA loan is 2% each year. The discount rate that the bank uses is 7% per year.
Would you approve the loan? Please explain with numerical support.

Answers

Answer and Explanation:

The computation is shown below:

Present value of loss  because of giving the loan to her is

= PVAF (7%, 10 years) × $250

= 7.02358 × $250

= $1,755.9

Now

The Present value of gain after repayment of the loan is

Till age of 65

($500, age 35 years to 65 years i.e. 30 years) is

=  [PVAF (7%, 40 years) - PVAF (7%, 10 years)] × 0.98 (probability of failure) × $500

= (13.3317 - 7.02358) × 0.98 × $500

= $3,090.98 (A)

Till age of 85

($1000, age 65 years to 85 years i.e. 20 years)

=  [PVAF (7%, 60 years) - PVAF (7%, 40 years)] × 0.98 (probability of failure) × $1,000

= (14.03918 - 13.3317) × 0.98 × $1,000

= $693.33 (B)

Now

Expected inflow from the student post repayment of the loan is

= (A) + (B)

= $3,784.31

Now expected net gain is

= $3,784.31 - $1,755.9

= $2,028.41

Here we exclude the period from 25 to 35 years and at later from 25 years to 65 years

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