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
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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 each six months for five years at a simple rate of 12 percent, compounded semiannually b. FV 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 annuity in part (b) earns $101.75 more than the one in part (a) over the five years. Why does this occur?
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 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?
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