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marysya [2.9K]
3 years ago
15

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. $ 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. $ 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. $ 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. $
Business
1 answer:
tresset_1 [31]3 years ago
4 0

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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A company has the following per unit recorded cost and replacement cost relating to its inventory:Item 1 5 units Cost $50 Market
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The reported value of this company's ending inventory if LCM is applied to individual items is $870.

<h3>What is reported value?</h3>

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How long after a tax taking can a treasurer begin land court proceedings?
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D. 180 days

Explanation:

After a tax taking a receiver begin land court proceedings a duration of "<u>180" days</u>. Later a tax collecting, the accountability for acquisition of the offending taxes as well as assessments on those attribute no long-spun relaxes with the Tax Collector, it simply moves to the Treasurer and while a parcel has been in tax claim for <u>180 days</u>, the Town may wish to instate foreclosure on the assets within specific Land Court in Boston.

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The amount of income under absorption costing will be more than the amount of income under variable costing when units manufactu
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Answer: A.exceed units sold

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In Absorption Costing, All costs be it Fixed or Variable that are directly related to production are considered when computing the Cost of Production.

Under Variable Costs however, only variable Costs are considered for the computing of Cost of Production.

This difference in consideration of costs under each method leads to difference in income determination under each method.

Under Absorption Costing, fixed manufacturing costs are apportioned on produced units and the costs are only recovered when the units are sold but under variable costing, fixed manufacturing costs are treated as period costs and are therefore charged to the Income statement.

This means that, the amount of income under absorption costing will be more than the amount of income under variable costing when units manufactured exceed units sold.

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The general relationship between spot and forward exchange rates is specified by a concept called interest rate parity. It speci
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where I_{O} is the Interest rate of the overseas country and

I_{D} is the Interest rate of the domestic country

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$0.0052 X {1 + I_{D} } =  0.005 X  1.0135

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{1 + I_{D} } =  \frac{0.0050675}{0.0052}

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