PRINCIPLES OF CORPORATE FINANCE
PRINCIPLES OF CORPORATE FINANCE
13th Edition
ISBN: 9781264052059
Author: BREALEY
Publisher: MCG
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Chapter 2, Problem 18PS

Perpetuities You have just read an advertisement stating, “Pay us $100 a year for 10 years and we will pay you $100 a year thereafter in perpetuity.” If this is a fair deal, what is the rate of interest?

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Summary Introduction

To determine: The rate of interest.

Answer to Problem 18PS

The rate of interest is 7.18%.

Explanation of Solution

Determine the rate of interest

The PV of $100 a year for 10 year is calculated as,

PV=[C×((1r)(1(r×(1+r)t)))]PV=[$100×((1r)(1(r×(1+r)100)))](1)

The PV of $100 a year forever is calculated as,

PV=[(Cr)(1+r)n]PV=[($100r)(1+r)10](2)

Combine Equation (1) and (2),

$100×[$100×((1r)(1(r×(1+r)100)))]=[($100r)(1+r)10]

By solving for r using trial and error method, we get r as 7.18%.

Therefore the rate of interest is 7.18%.

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Chapter 2 Solutions

PRINCIPLES OF CORPORATE FINANCE

Ch. 2 - Prob. 3PSCh. 2 - Compound interest New Savings Bank pays 4%...Ch. 2 - Compound interest In 2017, Leonardo da Vincis...Ch. 2 - Future values If you invest 100 at an interest...Ch. 2 - Prob. 7PSCh. 2 - Future values In the five years preceding the end...Ch. 2 - Discount factors a. If the present value of 139 is...Ch. 2 - Prob. 10PSCh. 2 - Prob. 11PSCh. 2 - Present values What is the PV of 100 received in:...Ch. 2 - Prob. 13PSCh. 2 - Present values A factory costs 800,000. You reckon...Ch. 2 - Present values Recalculate the NPV of the office...Ch. 2 - Present values and opportunity cost of capital...Ch. 2 - Perpetuities An investment costs 1,548 and pays...Ch. 2 - Perpetuities You have just read an advertisement...Ch. 2 - Growing perpetuities A common stock will pay a...Ch. 2 - Prob. 20PSCh. 2 - Prob. 21PSCh. 2 - Annuities Kangaroo Autos is offering free credit...Ch. 2 - Annuities David and Helen Zhang are saving to buy...Ch. 2 - Prob. 24PSCh. 2 - Annuities Several years ago, The Wall Street...Ch. 2 - Prob. 26PSCh. 2 - Prob. 27PSCh. 2 - Prob. 28PSCh. 2 - Prob. 29PSCh. 2 - Annuities due A store offers two payment plans....Ch. 2 - Amortizing loans A bank loan requires you to pay...Ch. 2 - Amortizing loans Suppose that you take out a...Ch. 2 - Future values and annuities a. The cost of a new...Ch. 2 - Prob. 34PSCh. 2 - Growing annuities You are contemplating membership...Ch. 2 - Prob. 36PSCh. 2 - Growing perpetuities and annuities Your firms...Ch. 2 - Compounding intervals A leasing contract calls for...Ch. 2 - Compounding intervals Which would you prefer? a....Ch. 2 - Compounding intervals You are quoted an interest...Ch. 2 - Prob. 41PSCh. 2 - Continuous compounding How much will you have at...Ch. 2 - Continuous compounding The continuously compounded...Ch. 2 - Prob. 44PSCh. 2 - Annuities Use Excel to construct your own set of...Ch. 2 - Declining perpetuities and annuities You own an...
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