FUND.OF FINANCIAL MGMT:CONCISE-MINDTAP
10th Edition
ISBN: 9781337910972
Author: Brigham
Publisher: CENGAGE L
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Chapter 5, Problem 6Q
Summary Introduction
To determine: The
Introduction:
Perpetuity: This refers to the cash flows which occur at fixed regular intervals. These cash flows are of equal values and are for an indefinite period. Perpetuity is also called as the perpetual
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The present value of a perpetuity is equal to the payment on the annuity, PMT, divided bythe interest rate, I : PV = PMT/I. What is the future value of a perpetuity of PMT dollars peryear? (Hint: The answer is infinity, but explain why.)
The present value of an ordinary annuity, PAN, is the value today that would be equivalent to the annuity payments (PMT) received at fixed intervals over the annuity period. The
equation is:
Each payment of an annuity due is discounted for one less
(1 + I). The equation is:
PVAN= PMT
1-
(1+1)N
I
period, so the present value of an annuity due is equal to the present value of an ordinary annuity multiplied by
PVA due PVA ordinary (1+1)
One can solve for payments (PMT), periods (N), and interest rates (I) for annuities. The easiest way to solve for these variables is with a financial calculator or a spreadsheet.
Quantitative Problem 1: You plan to deposit $1,700 per year for 5 years into a money market account with an annual return of 2%. You plan to make your first deposit one year
from today.
a. What amount will be in your account at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent.
$
b. Assume that your deposits will begin today. What…
Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem.
PV=$12,00; PMT=$400; n=55; =i?
Chapter 5 Solutions
FUND.OF FINANCIAL MGMT:CONCISE-MINDTAP
Ch. 5 - Prob. 1QCh. 5 - Explain whether the following statement is true or...Ch. 5 - If a firms earnings per share grew from 1 to 2...Ch. 5 - Would you rather have a savings account that pays...Ch. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Banks and other lenders are required to disclose a...Ch. 5 - Prob. 8QCh. 5 - FUTURE VALUE If you deposit 2,000 in a bank...Ch. 5 - PRESENT VALUE What is the present value of a...
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 33,556.25...Ch. 5 - Prob. 6PCh. 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 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - GROWTH RATES Sawyer Corporations 2018 sales were 5...Ch. 5 - EFFECTIVE RATE OF INTEREST Find the interest rates...Ch. 5 - Prob. 13PCh. 5 - FUTURE VALUE OF AN ANNUITY Find the future values...Ch. 5 - PRESENT VALUE OF AN ANNUITY Find the present...Ch. 5 - Prob. 16PCh. 5 - EFFECTIVE INTEREST RATE You borrow 230,000; the...Ch. 5 - Prob. 18PCh. 5 - FUTURE VALUE OF AN ANNUITY Your client is 26 years...Ch. 5 - PV OF A CASH FLOW STREAM A rookie quarterback is...Ch. 5 - EVALUATING LUMP SUMS AND ANNUITIES Kristina just...Ch. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - PRESENT VALUE FOR VARIOUS DISCOUNTING PERIODS Find...Ch. 5 - Prob. 25PCh. 5 - PV AND LOAN ELIGIBILITY You have saved 4,000 for a...Ch. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 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 - Prob. 36PCh. 5 - PAYING OFF CREDIT CARDS Simon recently received a...Ch. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41SPCh. 5 - Prob. 42IC
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- Each payment of an annuity due is compounded for one compounded for one Select- -Select- v period, so the future value of an annuity due is equal to the future value of an ordinary annuity v period. The equation is: FVAdue=FVAordinary (1 + I) The present value of an ordinary annuity, PVAN, is the value today that would be equivalent to the annuity payments (PMT) received at fixed intervals over the annuity period. The equation is: 1- (1+1)N PVAN= PMT Each payment of an annuity due is discounted for one -Select- period, so the present value of an annuity due is equal to the present value of an ordinary annuity multiplied by (1 + I). The equation is: DVA זדתarrow_forwardvalue of a future payment change as the un to recelpt is lengthened? As the interest rate increases? What's the difference between an ordinary annuity and an annuity due? Why would you prefer to receive an annuity due for $10,000 per year for 10 years than an otherwise similar ordinary annuity? iii.arrow_forwardUsing an annuity, you may calculate the present value of a single payment or a series of payments you will receive. Is this statement correct or incorrect?arrow_forward
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