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Fundamentals of Financial Manageme...

8th Edition
Eugene F. Brigham + 1 other
Publisher: Cengage Learning
ISBN: 9781285065137

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BuyFindarrow_forward

Fundamentals of Financial Manageme...

8th Edition
Eugene F. Brigham + 1 other
Publisher: Cengage Learning
ISBN: 9781285065137
Chapter 5, Problem 5P
Textbook Problem
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TIME TO REACH A FINANCIAL GOAL You have $42,180.53 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $250,000. You expect to earn 12% annually on the account. How many years will it take to reach your goal?

Summary Introduction

To determine: The time required to reach the financial goal.

Future value:

Future value is the amount of a current asset at a certain point of time in the future, which has been accumulated at an assumed rate of growth.

Explanation of Solution

Given information:

Present value (PV) is $42,180.53.

Rate of interest (r) is 12%.

Future value (FV) is 250,000.

Payment (Pmt) amount made at the end of the every year is $5,000.

Required formula:

FV=Pmt((1+r)n1)r+PV(1+r)n

Here, n is the time

Calculation:

Substitute the respective values in the formula.

250,000=5,000((1+0.12)n1)0

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Chapter 5 Solutions

Fundamentals of Financial Management, Concise Edition (with Thomson ONE - Business School Edition, 1 term (6 months) Printed Access Card) (MindTap Course List)
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Ch. 5 - FINDING THE REQUIRED INTEREST RATE Your parents...Ch. 5 - TIME FOR A LUMP SUM TO DOUBLE If you deposit money...Ch. 5 - TIME TO REACH A FINANCIAL GOAL You have 42,180.53...Ch. 5 - FUTURE VALUE: ANNUITY VERSUS ANNUITY DUE What's...Ch. 5 - PRESENT AND FUTURE VALUES Of A CASH FLOW STREAM An...Ch. 5 - LOAN AMORTIZATION AND EAR You want to buy a car....Ch. 5 - PRESENT AND FUTURE VALUES FOR DIFFERENT PERIOOS...Ch. 5 - PRESENT AND FUTURE VALUES FOR DIFFERENT INTEREST...Ch. 5 - GROWTH RATES Shalit Corporations 2013 sales were...Ch. 5 - EFFECTIVE RATE OF INTEREST Find the interest rates...Ch. 5 - TIME FOR A LUMP SUM TO DOUBLE How long will it...Ch. 5 - FUTURE VALUE OF AN ANNUITY Find the future values...Ch. 5 - PRESENT VALUE OF AN ANNUITY Find the present...Ch. 5 - PRESENT VALUE OF A PERPETUITY What is the present...Ch. 5 - EFFECTIVE INTEREST RATE You borrow 85,000; the...Ch. 5 - UNEVEN CASH FLOW STREAM a. Find the present values...Ch. 5 - FUTURE VALUE OF AN ANNUITY Your client is 40 years...Ch. 5 - PV OF A CASH FLOW STREAM A rookie quarterback is...Ch. 5 - EVALUATING LUMP SUMS AND ANNUITIES Crissie just...Ch. 5 - LOAN AMORTIZATION Jan sold her house on December...Ch. 5 - FUTURE VALUE FOR VARIOUS COMPOUNDING PERIODS Find...Ch. 5 - PRESENT VALUE FOR VARIOUS DISCOUNTING PERIODS Find...Ch. 5 - FUTURE VALUE OF AN ANNUITY Kind the future values...Ch. 5 - PV AND LOAN ELIGIBILITY You have saved 4,000 for a...Ch. 5 - EFFECTIVE VERSUS NOMINAL INTEREST RATES Bank A...Ch. 5 - NOMINAL INTEREST RATE AND EXTENDING CREDIT As a...Ch. 5 - BUILDING CREDIT COST INTO PRICES Your firm sells...Ch. 5 - REACHING A FINANCIAL GOAL Erika and Kitty, who are...Ch. 5 - REQUIRED LUMP SUM PAYMENT Starting next year, you...Ch. 5 - REACHING A FINANCIAL GOAL Six years from today you...Ch. 5 - FV OF UNEVEN CASH FLOW You want to buy a house...Ch. 5 - AMORTIZATION SCHEDULE a. Set up an amortization...Ch. 5 - AMORTIZATION SCHEDULE WITH A BALLOON PAYMENT You...Ch. 5 - NONANNUAL COMPOUNDING a. You plan to make five...Ch. 5 - PAYING OFF CREDIT CARDS Simon recently received a...Ch. 5 - PV AND A LAWSUIT SETTLEMENT It is now December...Ch. 5 - REQUIRED ANNUITY PAYMENTS Your father is 50 years...Ch. 5 - REQUIRED ANNUITY PAYMENTS A father is now planning...Ch. 5 - TIME VALUE OF MONEY Answer the following...Ch. 5 - TIME VALUE OF MONEY ANALYSIS You have applied for...

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