Contemporary Engineering Economics (6th Edition)
6th Edition
ISBN: 9780134105598
Author: Chan S. Park
Publisher: PEARSON
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Chapter 3, Problem 51P
To determine
Calculate the present worth.
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Suppose you want to withdraw $30,000 at the end of year 3 and another $30,000 at the end of year 5. The account’s interest rate is 5% compounded annually.
a) how much should you deposit now?
b) Suppose you realize you can only deposit $20,000 today, but you expect to have more funds available in 1 year. How much must you deposit into the account at the end of year 1 so that you can still make the necessary withdrawals at the end of year 3 and 5?
answer a and b
A cash flow at time zero (now) of $7,386 is equivalent to another cash flow that is an EOY annuity of $2,100 over five years (starting at year 1). Each of these two cash-flow series is
equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same five-year time interval? Assume that the cash flow at the end
of year one is zero.
Choose the correct answer below.
A. $1,050
B. $702
OC. $949
OD. $1,195
OE. Not enough information given.
How much should I deposit in a trust now (time zero) if it has to yield $100,000 at time zero, $25,000 in years 1
through 5, $50,000 per year from year 6 in perpetuity. Interest rate is 5%. Verify your answers using excel.
Hint: Perpetuity means your principal stays the same, you are just generating interest which you withdraw. How much
money should you have at the end of year 5 so that you generate 50,000 per year interest?
Chapter 3 Solutions
Contemporary Engineering Economics (6th Edition)
Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10P
Ch. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 1STCh. 3 - Prob. 2STCh. 3 - Prob. 3ST
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- A cash flow at time zero (now) of $14,551 is equivalent to another cash flow that is an EOY annuity of $2,700 over seven years (starting at year 1). Each of these two cash-flow series is equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same seven-year time interval? Assume that the cash flow at the end of year one is zero. ..... Choose the correct answer below. A. $989 B. $785 C. $392 D. $1,450 O E. Not enough information given.arrow_forwardWhat is the amount of the quarterly deposits A such that you will be able to withdraw the amounts shown in the cash flow diagram if the interest rate is 9% compounded quarterly? The amount of the quarterly deposits A should be $. ( Round to the nearest dollar.) What is the amount of the quarterly deposits A such that you will be able to withdraw the amounts shown in the cash flow diagram if the interest rate is 9% compounded quarterly? 0 A 9% Compounded quarterly $1,300 1 1 The amount of the quarterly deposits A should be S. (Round to the nearest dollar.) 2 4 (Deposit) Quarters 6 7 $3,000 8 Q 2arrow_forwardWhat is the amount of interest earned on $5,000 for eight years at 10% simple interest per year? If you open a savings account that earns 7.5% simple interest per year, what is the minimum number of years you must wait to double your balance? Suppose you open another account that earns 7% interest compounded yearly. How many years will it take now to double your balance? Compare the interest earned by $10,000 for five years at 10% simple interest with that earned by the same amount for five years at 10% compounded annually.arrow_forward
- You are about to borrow $3,000 from a bank at an interest rate of 9% compounded annually. You are required to make three equal annual repayments in the amount of $1,185.16 per year, with the first repayment occurring at the end of year one. What is the interest amount paid on the first year?arrow_forwardIf you had $ 1,000 now and invested it at 7% interest compounded annually, how much would it be worth in eight years ( Figure 2.8)?arrow_forwardMaria deposits $1,300 in a savings account that pays interest at an annual compound rate of 4.0%. Two years after the deposit, the interest rate increases to 5.0% compounded annually. A second deposit of $2,700 is made immediately after the interest rate changes to 5.0%. How much will be in the fund 7 years after the second deposit? $ Round your final answer to 2 decimal places, e.g. 52.75. The cell tolerance is ±0.03arrow_forward
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