John Fillmore’s lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of $421,800. He estimates that the boat he wants will cost $341,400 when he retires in 5 years. How much of his inheritance must he invest at an annual rate of 12% (compounded annually) to buy the boat at retirement?

Answers

Answer 1

Answer:

John Fillmore must invest $53,739.68 of his inheritance annually to buy the boat at retirement.

Explanation:

To determine this, we employ the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:

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

Where,

FV = Future value or the amount of the boat he wants = $341,400

M = Annual investment required = ?

r = Annual interest rate = 12%, or 0.12

n = number of yeas = 6

Substituting the values into equation (1) and solve for M, we have:

$341,400 = M * (((1 + 0.12)^5 - 1) / 0.12)

$341,400 = M * 6.35284736

M = $341,400 / 6.35284736

M = $53,739.6824846741

Approximating to 2 decimal places, we have:

M = $53,739.68

Therefore, John Fillmore must invest $53,739.68 of his inheritance annually to buy the boat at retirement.


Related Questions

Why might ranchers want to lock in a price today for their cattle by signing a six-month futures contract?
Responses

A. To be able to sell all of their cattle for a profit a year from now.

B. To be able to buy a new herd of cattle when the six months is up.

C. To be able to pay off the put option when the futures contract expires.

D. To be able to plan on a certain amount of income in the future.

Answers

Answer:

D. To be able to plan on a certain amount of income in the future.

Explanation:

Locking in price is when a seller and buyer agree on the minimum price for a transaction in the future. A locked-in price remains unchanged for the agreed period.

By lock in prices for their cattle, the ranchers have set the cattle's selling price after six months. Changes in market conditions will not affect the price. The ranchers will focus on controlling their costs to attain their target income. Locking in prices guarantees selling of stable prices, which allows them to plan of expected income.

The internal rate of return method is not subject to the limitations of the net present value method when comparing projects with different amounts invested because:_____.
A. The internal rate of return is expressed as a percent rather than the absolute dollar value of present value.
B. The internal rate of return is expressed as an absolute dollar value rather than the percent of net present value.
C. The internal rate of return reflects the time value of money rather than the absolute dollar value of present value.
D. The internal rate of return is expressed as an absolute dollar value rather than the time value of money used in net present value.
E. The internal rate of return is expressed as a percent rather than the accrual income method used in net present value.

Answers

Answer: A. The internal rate of return is expressed as a percent rather than the absolute dollar value of present value.

Explanation:

The internal rate of return is used in calculating the rate of return for the investment of a company. During the calculation, external factors like cost of capital, inflation, risk free rate are all excluded.

The internal rate of return method is not subject to the limitations of the net present value method when comparing projects with different amounts invested because it's expressed as a percent rather than the absolute dollar value of present value..

Stormer Company reports the following amounts on its statement of cash flow: Net cash provided by operating activities was $37,500; net cash used in investing activities was $13,800 and net cash used in financing activities was $17,700. If the beginning cash balance is $6,900, what is the ending cash balance?
a) $75,900.
b) $62,100.
c) $40,500.
d) $6,000.
$12,900.

Answers

Answer:

e. $12,900

Explanation:

Given that:

Net Cash provided by operating activities = $37,500

Net Cash used in investing activities = $13,800

Net Cash used in financing activities = $17,700

Beginning cash balance = $6,900

Stormer company's ending balance would be;

= Beginning cash balance + Net cash provided by operating activities - Net cash used in financing activities - Net cash used in investing activities

= $6,900 + $37,500 - $17,700 - $13,800

= $12,900

A manufacturing company incurs direct materials costs of $6 per unit. The total direct materials cost is______when the company manufactures 2,000 units.

Answers

Answer:

$12,000

Explanation:

The manufacturing company has a direct materials cost of $6

The company manufactures 2,000 unit

Therefore total direct material cost can be calculated as follows

= 2,000×6

= $12,000

Hence the total direct material cost of $12,000

Explain which of the following items are money in the U.S. economy. Discuss your answers in terms of three functions of money. 1. US $100 2. Euro 3. Mona Lisa painting 4. American Express credit card

Answers

Answer:

$100

Mona Lisa painting

Explanation:

To start with, I will list the 3 primary functions of money, which are;

store of value,

unit of account, and

medium of exchange.

Going by the above, I would say that 2 of the 4 options presented before us are money, why so?

A $100 bill is definitely money, no much explanation is needed here, because it's used daily as a means of exchange between people

2. Euro is not a form of money in the US. While it is a form of money in many other places, it's not in the US because it doesn't satisfy the "medium of exchange" criteria of function of money. Euro can not be spent in a store or anywhere in the country, without it having been first exchanged into dollars

3. Mona Lisa painting, part of the functions of money is to store value, and I believe very much, a painting is a good store of money in that regard.

4. American Express credit card is not a form of money because unlike money

being used essentially, to pay for goods and services directly, a credit card is more or less, a store of wealth that is lent by the bank

Which financial statement would include a listing of a companies assets

Answers

Answer:

Balance Sheet

Explanation:

In accounting, Balance sheet will show a complete listing of  assets, liabilities and  Equity of a company within a specific time period. (For most companies, the balance sheet will be made at each end of the year)

under the Assets segment, Balance sheet will specify several accounts arranged based on their liquidity. Cash usually put at the top of the list since it's considered as the most liquid assets.

People use balance sheet to give a general measurement on Company's financial health. If for example, they noticed that the liability is significantly larger than their assets, investors might feel discourage to invest in the company.

A firm operated at 90% of capacity for the past year, during which fixed costs were $420,000, variable costs were 40% of sales, and sales were $1,000,000. Operating income was:____________.
a. $420,000
b. $980,000
c. $180,000
d. $1,080,000

Answers

Answer:

A

Explanation:

Based on the fixed and variable costs, as well as the sales amount, the operating income was C. $180,000.

What was the operating income?

This can be found as:

= Sales - Variable costs - Foxed costs

Solving gives:

= 1,000,000 - (40% x 1,000,000) -420,000

= 1,000,000 - 400,000 - 420,000

= $180,000

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In Opulencia, the marginal propensity to save is only 0.10. In an effort to promote the virtues of saving, the government starts a campaign encouraging citizens to increase their marginal propensity to save to 0.20. How would this greater saving affect the impact of the multiplier?
A) The multiplier rises, making spending more powerful.
B) The multiplier falls, making spending less powerful.
C) The multiplier stays the same.
D) The multiplier will disappear altogether.

Answers

Answer:

B) The multiplier falls, making spending less powerful.

Explanation:

As we know that the multiplier refers to a factor where the changes with respect to increase or decrease of another things is to be seen.

Also,

MPS + MPC = 1

And,

Multiplier = 1 ÷ (1 - MPC)

or

= 1 ÷ MPS

In addition to this, MPS has the negative relationship with the multiplier

that means if the MPS increased then the multiplier decreased and vice versa

Therefore the option B is correct

If the growth rate of the money supply is 8%, velocity is constant, and real GDP grows at 4% per year on average, then the inflation rate will be _____%.If the growth rate of the money supply increases to 13%, velocity is constant, and real GDP grows at 2% per year on average, then the inflation rate will be _____%.If the growth rate of the money supply increases to 13%, velocity grows at 11%, and real GDP grows at 2% per year on average, then the inflation rate will be ______%.

Answers

Answer:

Explanation:

The formula to solve the question is:

∆M + ∆V = ∆P + ∆Y

where,

∆M = relation among money growth

∆V = changes in money velocity

P = change in prices

∆Y = change in real GDP

1. For question 1,

∆M = 8%, ∆V = 0, ∆Y = 4

∆M + ∆V = ∆P + ∆Y

8% + 0 = ∆P + 4%

∆P = 8% - 4%

Inflation rate = 4%

2. ∆M = 13%, ∆V = 0, ∆Y = 2%

∆M + ∆V = ∆P + ∆Y

13% + 0 = ∆P + 2%

∆P = 13% - 2%

∆P = 11%

Inflation rate = 11%

3. ∆M = 13, ∆V = 11, ∆Y = 2

∆M + ∆V = ∆P + ∆Y

13% + 11% = ∆P + 2%

∆P = 13% + 11% - 2%

∆P = 22%

Inflation rate = 22%

The year-end financial statements of Rally Company for the current year, report total revenues of $19,829 million, accounts receivable of $1,272 million at the current year-end, and $1,19 million for the prior year-end. The company's accounts receivable turnover for the year is:_______.
a. 18.3 times.
b. 18.9 times.
c. 19.5 times.
d. 20.0 times.
e. none of these are correct.

Answers

Answer:

16.1 times

Explanation:

Calculation for the company's accounts receivable turnover for the year

Using this formula

Accounts Recievable Turnover = Total Revenues/Average accounts receivables

Let plug in the formula

Accounts Receivable Turnover = $19,829/[($1,272+$1,198)/2]

Accounts Receivable Turnover =$19,829/$1,235

Accounts Receivable Turnover = 16.1 times

Therefore The company's accounts receivable turnover for the year is: 16.1 times

benefits are offered by employers to attract good employees

Answers

Answer:

its true :))

Explanation:

Answer:

true

Explanation:

edg 2021

Which of the following accounts is debited, when overhead is applied to jobs?
a) Manufacturing Overhead
b) Work in Process
c) Inventory Indirect
d) Labor Finished
e) Goods Inventory

Answers

Answer: Work in process

Explanation:

It should be noted that the work in process inventory will be debited on a situation wherby the overhead is being applied to jobs

During production when the manufacturing overhead is being applied for production purposes, the manufacturing overhead is credited and the work in process is debited.

Therefore, the correct option is B.

Professional Properties is considering remodeling the office building it leases to Heartland Insurance. The remodeling costs are estimated at $3.4 million. If the building is remodeled, Heartland Insurance has agreed to pay an additional $820,000 a year in rent for the next 5 years. The discount rate is 15 percent. What is the benefit of the remodeling project to Professional Properties? A) -$651,233 B) -$489,072 C) $5,214 D) $128,399 E) $311,417

Answers

Answer:

A) -$651,233

Explanation:

The computation of the benefit generated of the remodelling project is shown below:

If we considered the discounted rate i.e. 15% for 5 years of $820,000 so its present value would be $2,748,767 ($820,000 × 3.3521)

And, the predicted cost is $3,400,000

So here the cost is there instead of the benefit of

= $2,748,767 - $3,400,000

= -$651,233

Hence, the correct option is A

Revenues, Expenses, and Cost of Goods Sold are closed to which of the following accounts:_________
A) Income Summary
B) Retained Earnings
C) Other Income
D) Dividends
E) None of the Above

Answers

Answer: A) Income Summary

Explanation:

The Income Summary account is used to compile temporary accounts before posting them to capital accounts. Revenues, Expenses and Cost of Goods are temporary accounts which will be compiled in the Income summary account.

The Income summary account has a debit and a credit side with income going on the credit side and expenses going on the debit side. If the credit side is higher than the debit side then profits have been made. The reverse is true.

Suppose the demand function for good X is given by: Q_dx = 15-0 5P_x - 0.8 P y where Q_dx is the quantity demanded of good X, P_x is the price of good X, and P_y is the price of good Y, which is related to good X. a. Using the midpoint method, if the price of good Y is $10 and the price of good X decreases from $5 to $3, what is the price elasticity of demand for good X? Is the demand elastic, unitary elastic, or inelastic? b. Good X and Good Y are related as c. Using the midpoint method, if the price of good X is $10 and the price of good increases from $8 to $10, the cross price elasticity of demand is about

Answers

Answer:

a. Price elasticity of demand for good X is -0.80; and the demand is inelastic.

b. Good X and Good Y are related as complements.

c. The cross price elasticity of demand is about -2.57%.

Explanation:

Note: There is an error in the demand function for good X. This is therefore corrected by restating the function as follows:

Q_dx = 15 - 0.5P_x - 0.8 P_y …………………………… (1)

a. Using the midpoint method, if the price of good Y is $10 and the price of good X decreases from $5 to $3, what is the price elasticity of demand for good X? Is the demand elastic, unitary elastic, or inelastic?

From the question and equation (1), we have:

Old price of good X = Old P_x = $5

New price of good X = New P_x = $3

New quantity demanded of good X = New Q_dx = 15 - (0.5 * 3) - (0.8 * 10) = 5.50

Old quantity demanded of good X = New Q_dx = 15 - (0.5 * 5) - (0.8 * 10) = 4.50

Ordinarily, the formula for calculating the price elasticity of demand is as follows:

Price elasticity of demand = Percentage change in quantity demanded of good X / Percentage change in price of good X ................ (1)

Where, based on the midpoint formula, we have:

Percentage change in quantity demanded of good X = {(New quantity demanded of good X - Old

quantity demanded of good X) / [(New quantity demanded of good X + Old quantity demanded of good X) / 2]} * 100 = {(5.50 - 4.50) / [(5.50 + 4.50) / 2]} * 100 = 20%

Percentage change in price = {(New price of good X - Old price of good X) / [(New price of good X + Old Price of good X) / 2]} * 100 = {(3 - 5) / [(3 + 5) / 2]} * 100 = -25%

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

Price elasticity of demand for good X = 20% / -25% = -0.80

Therefore, the price elasticity of demand (based on the midpoint formula) when price decreases from $5 to $3 is -0.80.

Since the absolute value of the price elasticity of demand for good X i.e. |-0.80| is less than one, the demand is inelastic.

b. Good X and Good Y are related as

From equation (1) above, the coefficient P_Y is -0.80 which shows that it has a negative sign.

The negative sign indicates Good X and Good Y are related as complements. This implies that as price of Good Y falls, the quantity demand of Good X increases.

c. Using the midpoint method, if the price of good X is $10 and the price of good Y increases from $8 to $10, the cross price elasticity of demand is about

From the question and equation (1), we have:

Old price of good Y = Old P_y = $8

New price of good Y = New P_y = $10

New quantity demanded of good X = New Q_dx = 15 - (0.5 * 10) - (0.8 * 10) = 2

Old quantity demanded of good X = New Q_dx = 15 - (0.5 * 10) - (0.8 * 8) = 3.60

Ordinarily, the formula for calculating the cross price elasticity of demand is as follows:

Cross price elasticity of demand of goods X and Y = Percentage change in quantity demanded of good X / Percentage change in price of good Y ................ (2)

Where, based on the midpoint formula, we have:

Percentage change in quantity demanded of good X = {(New quantity demanded of good X - Old

quantity demanded of good X) / [(New quantity demanded of good X + Old quantity demanded of good X) / 2]} * 100 = {(2 - 3.60) / [(2 + 3.60) / 2]} * 100 = -57.1428571428572

Percentage change in price of good Y = {(New price of good Y - Old price of good Y) / [(New price of good Y + Old Price of good Y) / 2]} * 100 = {(10 - 8) / [(10 + 8) / 2]} * 100 = 22.2222222222222

Substituting the values into equation (2), we have:

Cross price elasticity of demand of good X and Y = -57.1428571428572 / 22.2222222222222 = -2.57142857142857

Rounding to 2 decimal places, we have:

Cross price elasticity of demand of good X and Y = -2.57

Therefore, the cross price elasticity of demand is about -2.57%.

Note: This confirms that the relationship between Good X and Good Y is complement because the cross-price elasticity between them is negative. That is, an increase in the price of Good Y makes consumer to buy less of Good X which is a complement.

Suppose that 2 years after the issue date (as in Part a) interest rates fell to 8%. Suppose further that the interest rate remained at 8% for the next 8 years. What would happen to the price of the bonds over time

Answers

Answer:

the first part of the question is missing, so I looked fro a similar one:

Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a $1,000 par value, a 10% coupon rate, and semiannual interest payments.

the market price of the bond after 2 years:

PV of face value = $1,000 / (1 + 4%)¹⁶ = $533.91

PV of coupon payment = $50 x 11.652 (PV annuity factor, 4%, 16 periods) = $582.60

market price = $1,116.51

the market price of the bond after 5 years:

PV of face value = $1,000 / (1 + 4%)⁶ = $790.31

PV of coupon payment = $50 x 5.2421 (PV annuity factor, 4%, 6 periods) = $262.11

market price = $1,052.42

the market price of the bond after 7 years:

PV of face value = $1,000 / (1 + 4%)² = $924.56

PV of coupon payment = $50 x 1.8861 (PV annuity factor, 4%, 2 periods) = $94.31

market price = $1,018.87

ix company issued 16,000 shares of $10 par value common stock at a market price of $21. as a result of this accounting event, the amount of stockholders equity would

Answers

Answer:

increase by $336,000.

Explanation:

Options are "1. increase by $176,000.  2. increase by $336,000.  3. increase by $160,000.  4. be unaffected."

Common stock will increase by $160,000, the par value, and paid-in capital in excess of par value will increase by $176,000, for a total increase in stockholders' equity of $336,000.

The allowance method that assumes a given percent of a company’s credit sales for the period is uncollectible is:___________.
a. The percent of sales method.
b. The percent of accounts receivable method.
c. The aging of accounts receivable method.
d. Direct write-off method.
e. Factoring method.

Answers

Answer:

Option A

Explanation:

In simple words, The percentage of sales method can be defined as the financial forecasting model under which all financial line items such as cost of goods sold, stock levels, and funds are expressed in the form of percentage of total sales made from a company's accounts. The analyst then used those projected sales to estimate he future values of those items.

The allowance method with the  assumption that a given percent of a company’s credit sales for the period is uncollectible is:  The percent of sales method.

The percent of sales method serves as financial forecasting model whereby financial line items such as costs of goods sold as well as inventory, and cash are been  calculated as a percentage of sales.

It usually use the assumption that particular percent of credit sales in that particular period is uncollectible .

Therefore, option A is correct.

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A car's price is currently $20,000 and is expected to rise by 4% a year. If the interest rate is 6%, how much do you need to put aside today to buy the car one year from now

Answers

Answer:

the amount need to put aside is $19,623

Explanation:

The computation of the amount need to put aside is shown below;

= (Current car price × (1 + expected rise percentage)) ÷ (1 + rate of interest)

= ($20,000 × 1.04) ÷ 1.06

= $19,623

hence, the amount need to put aside is $19,623

We simply applied the above formula so that the correct value could come

And, the same is to be considered

If the balance in the account 7 months after the final deposit is $8, 000, how large is each deposit?

Answers

Answer:

the first part of the question is missing:

Suppose that you make a sequence of 31 equal monthly deposits into an account paying a nominal rate of 6.7% convertible quarterly.

we need to determine the present value of the $8,000 at the moment that you stop making the monthly payments.

the effective annual interest rate = (1 + 6.7%/4)⁴ - 1 = 6.87%

the effective monthly interest rate = (1 + 6.87%)¹/¹² - 1 = 0.55523%

the value at the moment that you finish making the deposits = $8,000 / (1 + 0.0055523)⁷ = $7,695.86

now we can calculate the monthly payments using the future value of an annuity formula:

future value = monthly payment x FV annuity factor

monthly payment = future value / FV annuity factor

future value = $7,695.86FV annuity factor, 31 periods, 0.55523% = 33.72594

monthly payment = $7,695.86 / 33.72594 = $228.19

Gaber Land Corp. is evaluating a 4-acre (front 2-acre and back 2-acre) waterfront property for development. Gaber is considering a design that includes a 32-unit building on each lot. Determine the total initial cost using the per unit model

Answers

Complete Question:

Gaber Land Corp. is evaluating a 4-acre waterfront property for development into rental condominiums. The front 2-acre lot is more expensive to purchase than the rear 2-acre lot, and condo leases closer to the waterfront can be more expensive than those units in the rear. Gaber is considering a design that includes a 32-unit building on each lot.

Data includes the following:

Initial Costs

Lot purchase prices: $400,000/acre front lot, $100,000/acre back lot Legal fees, applications, permits, etc.: $80,000

Site clearing and preparation: $3000/acre

Paving roadways, parking, curbs, and sidewalks: 25% of total lot at $40,000/acre.

Construction costs: $3,000,000 per building

Recurring Costs

Taxes and insurance: $5000/month per building

Landscaping: 25% of lot at S1000/acre/month

Security: $1000 building for $1500/month

Other costs: $2000/month

Revenue (assume 90% annual occupancy)

Front lot units: $2500/unit/month

Rear lot units: $1750/unit/month

Other revenue: $5000/month

Answer the following: (1) Use the concept of the per-unit model to estimate the total initial cost. annual cost, and annual revenue of this prospective project, and (2) If you made the simplifying assumption of no changes to costs and revenues for 10 years, estimate the profitability of this prospective investment ignoring the effects of money's value over time.

Answer:

Gaber Land Corp.

1a. Total Initial cost: $193,252,000

1b. Annual cost: $5,064,000

1c. Annual revenue: $5,935,200

2. Profitability of Project for 10 years:

Total Revenue  $5,935,200 x 10 years = $59,352,000

Total costs       $5,064,000 x 10 years =   (50,640,000)

Profitability                                                    $8,712,000                    

The profitability totalling $8,712,000 for ten years will be reduced by the allocated cost of building for the same period in order to determine the net income.

Explanation:

a) Data and Calculations:

Initial costs:

Lot purchase prices:

Front lot, $400,000/acre x 2 =              $800,000

Back lot $100,000/acre x 2 =                   200,000

Legal fees, applications, permits, etc.       80,000

Site clearing & preparation: $3000/acre  12,000 ($3,000 * 4)

Paving roadways, parking, curbs, and sidewalks:

 25% of total lot at $40,000/acre.          160,000

Construction costs:

 $3,000,000 per building               192,000,000

Total initial costs                            $193,252,000

Annual costs:

Taxes and insurance: $5000/month per building   $3,840,000

Landscaping: 25% of lot at S1000/acre/month               48,000

Security: $1000 building for $1500/month                 1,152,000

Other costs: $2000/month                                             24,000

Total annual costs                                                    $5,064,000

Revenue (assume 90% annual occupancy)

Front lot units:

$2500/unit/month (32 * 4 * 2,500 * 90% * 12) = $3,456,000

Rear lot units:

$1750/unit/month  (32 * 4* 1,750 * 90% * 12) =      2,419,200

Other revenue: $5000/month ($5,000 * 12) =           60,000

Total annual revenue =                                        $5,935,200

If a portfolio of the two assets has an expected return of 7 percent, what is its beta? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)

Answers

Answer:

the beta of the portfolio is 0.562

Explanation:

The computation of the beta is shown below:

As we know that

Expected return of portfolio = return of stock × weightage of stock + return of risk free asset × weightage of risk free asset

7% = 11% × weightage of stock + 2.4% × (1 - weightage of stock)

weightage of stock = 0.535

Now Beta of portfolio is

= 1.05 × 0.535

= 0.562

hence, the beta of the portfolio is 0.562

1. Research is
a. A systematic methodological process to answer a question
b. A process of data collection to formulate a report
c. An experimentation to construct a hypothesis

Answers

Answer:

I think a. a systematic

Select the benefits of mentoring goal process PLS HELP ASAP

Answers

Answer:

Mentoring relationships can result in the following:

Increased knowledge transfer.

Job satisfaction.

Smart succession planning.

Development of leadership skills.

Motivation for professional development and accountability.

Achievement of goals and objectives.

Stronger internal networks.

Increased teamwork.

Explanation:

How much will net operating income increase (decrease) per month if the monthly advertising budget increases by $8,700 and monthly sales increase by $19,800

Answers

I can give you a equation 8700+19800x

_____is a set of laws about the way a business should behave.
A)Business ethics
B)Company constitution
C)Ethics
D)The Better Business Bureau

Answers

The answer would be A- Business ethics

Jared's Co. has total assets of $60,000 and total liabilities of $40,000. Its debt-to-equity ratio is

Answers

Answer:

2.0

Explanation:

Sunoco in Canada realizes the importance of physical evidence to determining the value of the service being provided.As a result,it has refurbished its restrooms and committed its station operators to maintaining hygienic restrooms.A clean-smelling restroom is an example of a positive:____________.
A) Artifact
B) Functional form
C) Ambient condition
D) Spatial format
E) Service symbol

Answers

Answer: ambient condition

Explanation:

Based on the scenario in the question, a clean-smelling restroom is an example of a positive ambient condition.

Ambient condition simply refers to a term typically used by designers when referring to the ventilation systems. It should be noted that ambient conditions gas to do with temperature, and humidity.

Ambient working conditions are essential for a company. From the question, refurbishing of the restrooms and maintaining hygienic restrooms shows that a positive ambient condition is being created.

The economy is part of that influences all organizations

Answers

i’m not sure but good luck
What are you talking about?

The Costaguanan stock market provided a rate of return of 97%. The inflation rate in Costaguana during the year was 81%. In Ruritania the stock market return was 17%, but the inflation rate was only 4%. Calculate the real rate of return for Costaguanan stock market.

Answers

Answer:

The answer is "[tex]\bold{8.8\% \ and \ 2.16 \%}[/tex]".

Explanation:

Fischer relationship centered:

[tex]\to (1 + Nominal\ rate) = (1 + Real\ rate) \times (1 + Inflation)\\\\\to \text{For Costaguanan Stock},\\\\\to (1 + 97 \%) = (1 + Real \ rate) \times (1 + 81 \%)\\\\[/tex]

[tex]\to (1 + 0.97 ) = (1 + Real \ rate) \times (1 + 0.81 )\\\\\to (1.97) = (1 + Real \ rate) \times (1.81)\\\\ \to (1 + Real \ rate) = \frac{1.97}{1.81} \\\\\to (1 + Real \ rate) = 1.088 \\\\\to Real \ Rate = 1.088 -1 \\\\[/tex]

                     [tex]= 0.088 \\\\= 8.8\%[/tex]

[tex]\text{For Ruritania Stock,}[/tex]

[tex]\to (1 + 17 \%) = (1 + Real \ rate) \times (1 + 4 \%)\\\\\to (1 + 0.17 ) = (1 + Real \ rate) \times (1 + 0.04 )\\\\\to (1.17) = (1 + Real \ rate) \times (1.04)\\\\\to (1 + Real \ rate) = \frac{1.17}{1.04}\\\\\to (1 + Real \ rate) = 1.216\\\\\to Real \ rate = 1.216 -1[/tex]

                    [tex]= 0.216 \\\\=2.16 \%[/tex]

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