Contemporary Engineering Economics (6th Edition)
6th Edition
ISBN: 9780134105598
Author: Chan S. Park
Publisher: PEARSON
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Question
Chapter 3, Problem 31P
To determine
Calculate the annual value.
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What is the present worth of each of the given series of payments?(a) $2.700 at the end of each six-month period for 10 years at 8% compounded semiannually.(b) $10,000 at the end of each quarter for five years at 12% compounded quarterly.(c) $14.000 at the end of each month for eight years at 6% compounded monthly.
Which of the two rates would yield the larger amount in 1 year?
(A) 2% compounded quarterly
B) 2.02% compounded annually
Calculate the effective rate corresponding to each of the following rates:(a) 9% compounded semi-annually(b) 9% compounded quarterly(c) 9% compounded bi-monthly(d) 9% compounded monthly(e) 9% compounded continuously
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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- Determine the present equivalent value of $400 paid over a period of 7 years in each of this situations: (a) The interest rate is 12% compounded annually (b) The interest rate is 12% compounded quarterly (c) The interest rate is 12% compounded continuouslyarrow_forwardFind the APY in each of the following cases:(a) 10% compounded annually.(b) 9% compounded semiannually.(c) 12% compounded quarterly.(d) 7% compounded daily.arrow_forwardState the present worth of the following future payments:(a) $8,000 five years from now at 8% compounded annually.(b) $10,000 six years from now at 10% compounded annually.(c) $12,000 eight years from now at 7% compounded annually.(d) $18,000 ten years from now at 9% compounded annually.arrow_forward
- (b) $4,500 at the end of each year for 15 years at 4.75% compounded annually.arrow_forwardYou bought an antique car three years ago for $500 000. Today it is worth $650 000.(a) What annual interest rate did you earn if interest is compounded yearly?(b) What monthly interest rate did you earn if interest is compounded monthly?arrow_forwardSITUATION1: Five hundred pesos (P500.00) is deposited monthly to an account earning 7% compounded monthly. (a) what is the amount of the deposit after five years? (b) if the monthly deposit after two years is increased to P1,000. What is the amount of the deposit after five years? (c) repeat question (4) if the interest is 18% compounded monthly? barrow_forward
- A problem on the midterm exam asked you to calculate the monthly payment on a $15,000 car loan at an interest rate of 9% compounded monthly to be repaid over 60 months, where 9% is the nominal annual interest rate. Some students incorrectly used 9% as the monthly interest rate. A monthly interest rate of 9% is equivalent to what effective annual interest rate? (a) Effective annual interest rate = 9% (b) Effective annual interest rate = 9% per month x 12 months per year = 108% (c) Effective annual interest rate = 9% per month ÷ 12 months per year 0.75% (d) Effective annual interest rate = (1+ effective monthly rate)12 – 1 = (1.09)12 – 1 = 181%arrow_forward4.1 From the interest statement 18% per year, compounded monthly, determine the values for interest period, compounding period, and compounding frequency. 4.2 From the interest statement 1% per month, determine the values for interest period, compounding period, and compounding frequency. 4.3 Determine the number of times interest would be compounded in 6 months from the interest statements ( a ) 18% per year, compounded monthly, ( b ) 1% per month, and ( c ) 2% per quarter. 4.4 For an interest rate of 1% per 2 months, determine the number of times interest would be compounded in ( a) 2 months, ( b ) two semiannual periods, and ( c ) 3 years.arrow_forwardIt refers to the length of time over which interest is charged or earned. a Compounding Period b Payment Period c Effective Period d Nominal Periodarrow_forward
- 4.39. What is the present worth of the following series of payments? (a) $5,000 at the end of each six-month period for 12 years at 9% compounded semiannually. $7,000 at the end of each quarter for 10 years at 8% compounded quarterly. (b) (c) $3,500 at the end of each month for five years at 6% compounded monthly.arrow_forwardProblem 1. Find the interest rate for each deposit and compound amount. (i) $8000 accumulating to $11,672.12 compounded quarterly for 8 years. (ii) $6725 accumulating to $10,353.47 compounded monthly for 7 years. Problem 2. Find the amount needed to be invested now to accumulate the following amount if the money is compounded as indicated. (ii) $4500 deposited at 3.6% compounded monthly to reach at least $11,000. Problem 3. (i) If $1000 are deposited into an account paying 3% compounded annually for 5 years, how much money is in the account at the end of the last deposit? (ii) If $800 are deposited into an account paying 6.51% compounded semiannually for 12 years, how much interest is earned at the end of the last deposit? Problem 4. (i) If $10,000 is needed in 12 years, how much should be deposited at the end of each year into an ac- count paying 5% compounded annually? (ii) If $150,000 is needed in 15 years, how much should be deposited at the end of each month…arrow_forwardProblem 6. Find the time required for each initial amount to be at least equal to the final amount. (i) $8000 deposited at 3% compounded quarterly to reach at least $23,000. monthly. (ii) $4500 deposited at 3.6% compounded monthly to reach at least $11,000.arrow_forward
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