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 present values of the following ordinary annuities: a. PV of $400 each six months for five years at a simple rate of 12 percent, compounded semiannually b. PV of $200 each three months for five years at a simple rate of 12 percent, compounded quarterly c. The annuities described in parts (a) and (b) have the same amount of money paid into them during the five-year period and both earn interest at the same simple rate, yet the present value of the annuity in part (b) is $31.46 greater 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
Two annuities - certain of 1 p.a. are each payable half-yearly for n years. The first payment under one is due at the end of 3 months and under the other at the end of 6 months from now. The total present value of the two annuities is 20.255. The amount of an annuity of 1 per quarter in arrear for n years is 47.719. If the same effective rate of interest applies throughout, find n and the rate of interest.
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