Corporate Finance: A Focused Approach (mindtap Course List)
Corporate Finance: A Focused Approach (mindtap Course List)
7th Edition
ISBN: 9781337909747
Author: Michael C. Ehrhardt, Eugene F. Brigham
Publisher: South-Western College Pub
Question
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Chapter 4, Problem 18P

a.

Summary Introduction

To Determine: The future value of ordinary annuity.

b.

Summary Introduction

To Determine: The future value of ordinary annuity.

c.

Summary Introduction

To Discuss: The reasons on the differences with the answers from Part A and Part B.

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Find the future values of the following ordinary annuities:a. FV of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannuallyb. FV of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterlyc. These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one in part a. Why does this occur?
Find the future values of the ordinary annuities at the given annual rate r compounded as indicated. The payments are made to coincide with the periods of compounding. (Round your answer to the nearest cent.) PMT = $200, r = 2.7%, compounded semiannually for 25 years
Perpetuity A provides payments of 3000 every six months with the first payment six months from today.  Perpetuity B provides payments of the amount of k every two years with the first payment due now. An annual effective interest rate of 4.94% is given. The two perpetuities have the same present value. Determine the value of the payment k.
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