Posted: March 12th, 2023

Please see attached instructions and project.

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Instructions

Instructions

22

 0 3 1 4 Answer all questions in this workbook. Be sure to read the introductory text on tabs 1 and 3 as well as these instructions. Keep in mind that the focus of this project is corporate finance. The information generated by the accounting system is important; but in finance, decisions are driven by an analysis of cash flows rather than profits. Tab 1 contains a series of exercises on the concept of the time value of money. These exercises do not relate directly to the issues facing LGI. Tab 2 focuses on the concept of annuities. The first few questions do not pertain specifically to LGI; the latter questions do. Tab 3 pertains to whether LGI should acquire new assets that may enhance the company’s productivity and thus improve financial performance.

## Tab 1 – TVM

022

of

1,

00 invested at an interest rate of 4.

5%?

years

.1%?

NPER
11
years
RATE

,000

. The present value of a payment is \$4000. The future value of that payment in five years will be \$4800. What is the annual rate of return?

PV

NPER

years

FV
\$10,000

0

11
1. Briefly explain the meaning of the term “present value” in your own words.
2. Briefly explain the meaning of the term “future value” in your own words.
3. What is the future value in five

years \$ 5 9
4. What is the future value of a single payment with the following characteristics?
PV \$950
NPER 6
RATE 5.4%
5. What is the present value of \$65,000 in six years, if the relevant interest rate is

8
6. What is the present value of a single payment with the following characteristics?
5.05%
FV \$

10
7
8. What is the annual rate of return of a single payment with the following characteristics?
\$1,000
15

Time value of money (TVM) exercises
There are five variables in TVM calculations: present value, number of periods, rate of return, regular payments, and future value. If four of the variables are known, then the fifth can be calculated using algebra, a financial calculator, or a computer program such as Excel.

Excel functions for the five variables are as follows:

 PV—present value
 NPER—number of periods
 RATE—rate of return

PMT

—regular payments
 FV—future value

## Tab 2 – Annuities

PV

RATE

PMT

PV

RATE

NPER
10
years
NPER

years

PMT

PV

s)

1

2
(40)
3
(40)
4
(40)
5
(40)

Projected after-tax cash flows

Year
(in \$ millions)

1
(40)

2
(40)

3
(40)

4
(40)

5
(40)

6
(40)
7
(40)
8
(40)
9
(40)
10
(40)
11
(40)

(40)

Projected after-tax cash flows

Year
(in \$ millions)

1
(40)

2

3

4

5

 011022 1. How many years would be required to pay off a loan with the following characteristics? \$11,500 10.6% \$1,600 (annual payments) 2. What is the annual payment required to pay off a loan with the following characteristics? \$14,700 10.0% 3. Why is FV not part of the calculations for either question 1 or question 2? 4. At what annual rate of interest is a loan with the following characteristics? 17 \$100,000 \$1,000,000 For questions 5-8, LGI’s cost of capital is 8.11% 5. LGI projects the following after-tax cash flows from operations from its aging Bowie, Maryland distribution facility (which first went on line in 1953) over the next five years. What is the PV of these cash flows? Projected after-tax cash flows Year (in \$ million (40) 6. LGI extended the analysis out for an additional 7 years, and generated the following projections. What is the PV of these cash flows? 12 7. The CFO asked you to undertake a more detailed analysis of the plant’s costs, noting that while it is convenient for making calculations when projections result in data that can be treated like an annuity, this does not always represent the most accurate estimate of future results. What is the PV of these cash flows? (50) (55) (60) (70) 8. As part of a larger plan to sell off underperforming assets, LGI is considering selling the Bowie property and using other existing facilities more efficiently. LGI received four preliminary offers from potential buyers for the Bowie property. What is the PV of each offer? PV of each offer (in \$ millions) Offer A \$102.17 million, paid today Offer B \$19.85 million per year, to be paid over the next 8 years Offer C \$201.88 million, to be paid in year 8 Offer D \$18.09 million per year, to be paid over the next 7 years and a \$53.05 million payment in year 8 9. From a profit maximizing point of view, which offer should LGI accept? 10. Define the term annuity in your own words. How might the concept of an annuity impact the process of capital budgeting and new asset acquisition?

Tab 2 – Annuities

## Tab 3 – Capital Budgeting

011022

\$

million

of Maryland

Year

0
1

2

3

4

900.0

5

6

7

1,300.0

8

1,300.0

(all figures in \$ millions)

Projected Cash Inflows from Operations

Projected Cash Inflows from Operations

1005.0

Projected Cash Outflows from Operations

minus
Projected Cash Outflows from Operations

(900.0)

minus
Depreciation Expense

minus
Projected Federal Income Taxes

)

Projected Taxable Income

equals
Projected State Income Taxes

)

Projected After-tax Cash Flows

Projected Taxable Income

81.1

Corporate income tax rate – Federal

26.0%

equals
Projected Federal Income Taxes

21.1

Projected Taxable Income

81.1

times
Corporate income tax rate – State

8.0%

equals
Projected State Income Taxes

6.5

 Table 1 – Data Cost of the new manfactoring equipment (at year=0) 191.1 Corporate income tax rate – Federal 26.0% Corporate income tax rate – State 8.0% Discount rate for the project 5.98% Table 2 – After-tax Cash Flow Timeline (all figures in \$ millions) Projected Cash Inflows from Operations Projected Cash Outflows from Operations Depreciation Expense Projected Taxable Income Projected Federal Income Taxes Projected State Income Taxes Projected After-tax Cash Flows 850.0 840.0 900.0 810.0 990.0 870.0 1,005.0 1,200.0 1,100.0 1,300.0 1,150.0 1,350.0 1,320.0 Table 3 – Example – Computing Projected After-tax Cash Flows For Year 4 1005.0 minus (900.0) (23.9) ( 21.1 equals 81.1 ( 6.5 77.4 times 1. Complete Table 2. Compute the projected after tax cash flows for each of years 1-8. 2. Compute the total present value (PV) of the projected after tax cash flows for years 1-8. 3. Compute the net present value (NPV) of the projected after tax cash flows for years 0-8. 4. Compute the internal rate of return (IRR) of the project. 5. The CFO believes that it is possible that the next few years will bring a very low interest rate environment. Therefore, she has asked that you repeat the NPV calculation in question 3 showing the case where the discount rate for the project is 5.02%

Robotics-based equipment proposal
If the Bowie plant is sold, those operations will need to shift to the main Largo facility. The CEO is proposing to acquire robotics-based sorting and distribution equipment to facilitate more cost-effective operations (and be able to handle the increased workload) at Largo.

The CFO has asked you to evaluate the cash flow projections associated with the equipment purchase proposal and recommend whether the purchase should go forward. Table 2 shows projections of the cash inflows and outflows that would occur during the first eight years using the new equipment.

Keep the following in mind:

 Depreciation. The equipment will be depreciated using the straight-line method over eight years. The projected salvage value is \$0.
 Taxes. The CFO estimates that company operations as a whole will be profitable on an ongoing basis. As a result, any accounting loss on this specific project will provide a tax benefit in the year of the loss.

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