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irga5000 [103]
3 years ago
8

Suppose Country A and Country B each have the same real Gross Domestic Product (GDP), equal to $440 billion. Country A has 100 m

illion people and Country B has 175 million people. In this situation, per capita real Gross Domestic Product (GDP) is:_____________.1. higher in Country A.2. an irrelevant factor.3. higher in Country B.4. the same in both countries
Business
1 answer:
Gennadij [26K]3 years ago
8 0

Answer:

1. higher in Country A

Explanation:

Given: Gross domestic product (GDP)= $440 billion.

           Country A has 100 million people.

           Country B has 175 million people.

Real Gross Domestic Product (GDP): It is defined as the entire output produced annually that includes factors such as inflation and is adjusted for price changes.

Per capita real Gross Domestic Product (GDP): It gives the annual salary for the country and shows the quality of living.

Now calculating per capita real Gross Domestic Product (GDP) for both the countries.

Formula; Per capita GDP= \frac{GDP}{Population}

<u>Country A</u>

⇒ Per capita GDP= \frac{440\ billion}{100\ million}

We know one billion= 1000 million.

⇒ Per capita GDP= \frac{440\times 1000}{100}

∴ Per capita GDP= \$4400\ million

<u>Country B</u>

⇒ Per capita GDP= \frac{440\times 1000}{175}

∴ Per capita GDP= \$ 2514.28 \ million

Hence, comparing both Per capita GDP of country A and B will get Country A have higher per capita GDP.

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Calculate the following: The future value of lump-sum investment of $3,200 in four years that earns 6 percent. Round your answer
tresset_1 [31]

Answer:

(a) $4,040

(b) $3,434

(c) $348

(d) $3,265

Explanation:

(a) Calculate the following: The future value of lump-sum investment of $3,200 in four years that earns 6 percent. Round your answer to the nearest dollar. (Hint: Use Appendix A.1 or the Garman/Forgue companion website.) Round Future value of a Single Amount in intermediate calculations to four decimal places. $

To estimate this, the formula for calculating future value is used as follows:

FV = PV * (1 + r)^n ………………………….. (1)

Where,

FV = future value = ?

PV = lump-sum investment = $3,200

r = interest rate = 6%, or 0.06

n = number of years = 4

Substitute the values into equation (1) to have:

FV = $3,200 * (1 + 0.06)^4

FV = $3,200 * (1.06)^4

FV = $3,200 * 1.2625

FV = $4,040

(b) The future value of $1,100 saved each year for three years that earns 4 percent. Round your answer to the nearest dollar. (Hint: Use Appendix A.3 or the Garman/Forgue companion website.) Round Future value of Series of Equal Amounts in intermediate calculations to four decimal places. $

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

FV = M * (((1 + r)^n - 1) / r) ................................. (2)

Where,

FV = Future value of the amount after 3 years =?

M = Annual savings = $1,100

r = interest rate = 4%, or 0.04

n = number of years = 3

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

FV = $1,100 * (((1 + 0.04)^3 - 1) / 0.04)

FV = $1,100 * 3.1216

FV = $3,434

(c) A person who invests $1,800 each year finds one choice that is expected to pay 4 percent per year and another choice that may pay 7 percent. What is the difference in return if the investment is made for four years? Round your answer to the nearest dollar. (Hint: Use Appendix A.3 or the Garman/Forgue companion website.) Round Future value of Series of Equal Amounts in intermediate calculations to four decimal places. $

To do this, we first calculate the return of each of the 2  investments by using the the formula for calculating the Future Value (FV) of an Ordinary Annuity in part b above is used as follows:

<u>Calculation of return at 4 percent</u>

Where;

FV at 4% = Future value of the return after 4 years =?

M = Annual savings = $1,800

r = interest rate = 4%, or 0.04

n = number of years = 4

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

FV at 4% = $1,800 * (((1 + 0.04)^4 - 1) / 0.04)

FV  at 4% = $1,800 * 4.2465

FV  at 4% = $7,644

<u>Calculation of return at 7 percent</u>

Where;

FV at 7% = Future value of the return after 4 years =?

M = Annual savings = $1,800

r = interest rate = 7%, or 0.07

n = number of years = 4

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

FV at 7%= $1,800 * (((1 + 0.07)^4 - 1) / 0.07)

FV at 7% = $1,800 * 4.4399

FV at 7% = $7,992

<u>Calculation of the difference in return</u>

This is calculated as follows:

Difference = FV at 7% - FV at 4% = $7,992 - $7,644 = $348

(d) The amount a person would need to deposit today with a 7 percent interest rate to have $4,000 in three years. Round your answer to the nearest dollar. (Hint: Use Appendix A.2 or the Garman/Forgue companion website.) Round Present value of a Single Amount in intermediate calculations to four decimal places. $

To estimate this, the formula for calculating present value is used as follows:

PV = FV / (1 + r)^n ………………………….. (1)

Where;

PV = Present value or amount to deposit today = ?

FV = future value in three years = $4,000

r = interest rate = 7%, or 0.07

n = number of years = 3

Substitute the values into equation (1) to have:

PV = $4,000 / (1 + 0.07)^3

PV = $4,000 / 1.2250

PV = $3,265

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In your own opinion, why do you think it is important to establish a daily job search routine?
Alenkinab [10]

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Your grandfather put some money into an account for you on the day you were born. You are now 18 years old and are allowed to wi
raketka [301]

Answer:

Instructions are below.

Explanation:

Giving the following information:

Value at 18= $4,909

Interest rate= 3%

To calculate the final value, we need to use the following formula:

FV= PV*(1+i)^n

A) Number of years= 7

FV= 4,909*(1.03^7)= $6,307.45

B) Number of years= 47

FV= 4,909*(1.03^47)= $19,694.39

C) Finally, we need to determine the original investment. We need to isolate the present value from the formula:

PV= FV/(1+i)^n

PV= 4,909/(1.03^18)

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3 years ago
An investor has two bonds in her portfolio, Bond C and Bond Z. Each bond matures in 4 years, has a face value of $1,000, and has
aliya0001 [1]

Answer:

Years to maturity       Price of Bond C            Price of Bond Z

         4                               $1,084.42                       $711.03

         3                               $1,065.93                       $774.31

         2                               $1,045.80                      $843.23

         1                                $1,023.88                       $918.27

Explanation:

Note: See the attached excel for the calculations of the prices of Bond C and Bond Z.

The price of each bond of the bond can be calculated using the following excel function:

Bond price = -PV(rate, NPER, PMT, FV) ........... (1)

Where;

rate = Yield to maturity of each of the bonds

NPER = Years to maturity

PMT = Payment = Coupon rate * Face value

FV = Face value

Substituting all the relevant values into equation (1) for each of the Years to Maturity and inputting them into relevant cells in the attached excel sheet, we have:

Years to maturity       Price of Bond C            Price of Bond Z

         4                               $1,084.42                       $711.03

         3                               $1,065.93                       $774.31

         2                               $1,045.80                      $843.23

         1                                $1,023.88                       $918.27

Download xlsx
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