Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
Question
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Chapter 2, Problem 25PS

a.

Summary Introduction

To determine: The present value at the end of each year.

a.

Expert Solution
Check Mark

Answer to Problem 25PS

The present value at the end of each year is $12.50 billion.

Explanation of Solution

Determine the present value at the end of each year

PresentValue=[AmountofInvestmentInterestRate]=[$1billion8%]=$12.50billion

Therefore the present value at the end of each year is $12.50 billion.

b.

Summary Introduction

To determine: The present value at the end of first year if the growth rate is 4%.

b.

Expert Solution
Check Mark

Answer to Problem 25PS

The present value at the end of first year if the growth rate is 4% is $25 billion.

Explanation of Solution

Determine the present value at the end of first year if the growth rate is 4%

PresentValue=[AmountofInvestment(InterestRateGrowthRate)]=[$1billion(8%4%)]=$25billion

Therefore the present value at the end of first year if the growth rate is 4% is $25 billion.

c.

Summary Introduction

To determine: The present value at the end of 20 years.

c.

Expert Solution
Check Mark

Answer to Problem 25PS

The present value at the end of 20 years is $9.82 billion.

Explanation of Solution

Determine the present value at the end of 20 years

Excel Spreadsheet:

Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate), Chapter 2, Problem 25PS

Therefore the present value at the end of 20 years is $9.82 billion.

d.

Summary Introduction

To determine: The present value if spread evenly for 20 years.

d.

Expert Solution
Check Mark

Answer to Problem 25PS

The present value if spread evenly for 20 years is $10.20 billion.

Explanation of Solution

Determine the continuous compounded rate

ContinuousRate=[LN(1+Rate)]=[LN(1+8%)]=7.70%

Therefore the continuous compounded rate is 7.70%.

Determine the present value if spread evenly for 20 years

PresentValue=[AmountInvested×(1Rate)(1(Rate×ert))]=[$1billion×(17.70%)(1(7.70%×2.71828(7.70%×20)))]=[$1billion×12.987012.784173]=$10.20284billionor$10.20billion

Therefore the present value if spread evenly for 20 years is $10.20 billion.

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Chapter 2 Solutions

Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)

Ch. 2 - Prob. 3PSCh. 2 - Prob. 4PSCh. 2 - Opportunity cost of capital Which of the following...Ch. 2 - Perpetuities An investment costs 1,548 and pays...Ch. 2 - Growing perpetuities A common stock will pay a...Ch. 2 - Prob. 8PSCh. 2 - Present values What is the PV of 100 received in:...Ch. 2 - Continuous compounding The continuously compounded...Ch. 2 - Compounding intervals You are quoted an interest...Ch. 2 - Future values and annuities a. The cost of a new...Ch. 2 - Prob. 13PSCh. 2 - Present values A factory costs 800,000. You reckon...Ch. 2 - Present values A machine costs 380,000 and is...Ch. 2 - Opportunity cost of capital Explain why we refer...Ch. 2 - Present values A factory costs 400,000. It will...Ch. 2 - Present values and opportunity cost of capital...Ch. 2 - Prob. 19PSCh. 2 - Prob. 20PSCh. 2 - Annuities David and Helen Zhang are saving to buy...Ch. 2 - Annuities Kangaroo Autos is offering free credit...Ch. 2 - Present values Recalculate the NPV of the office...Ch. 2 - Prob. 24PSCh. 2 - Prob. 25PSCh. 2 - Continuous compounding How much will you have at...Ch. 2 - Perpetuities You have just read an advertisement...Ch. 2 - Compounding intervals Which would you prefer? a....Ch. 2 - Compounding intervals A leasing contract calls for...Ch. 2 - Annuities Several years ago, The Wall Street...Ch. 2 - Prob. 31PSCh. 2 - Prob. 32PSCh. 2 - Prob. 33PSCh. 2 - Prob. 34PSCh. 2 - Prob. 35PSCh. 2 - Amortizing loans Suppose that you take out a...Ch. 2 - Prob. 37PSCh. 2 - Annuities Use Excel to construct your own set of...Ch. 2 - Declining perpetuities and annuities You own an...
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