EBK CONTEMPORARY ENGINEERING ECONOMICS
6th Edition
ISBN: 9780134123950
Author: Park
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Question
Chapter 3, Problem 50P
To determine
Calculate the present worth.
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You consider paying equal amounts of money into a bank account at regular intervals for 10 years. As a result of your research, you find out the following payment plans:a. To pay $500 at the end of each month for a period of 10 years with an interest rate 12% compounded monthly.b. To deposit $1500 at the end of every three months with an interest rate of 12% compounded continuously for 10 years.c. To deposit $1000 at the end of every two months with an interest rate 12% compounded quarterly for 10 years.For each of these payment plans, calculate the amount of money that will be accumulated in your account at the end of the 10th year (including the last payment). Which alternative would be more advantageous for you?
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Chapter 3 Solutions
EBK CONTEMPORARY ENGINEERING ECONOMICS
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 debt of P 15,000 was paid for as follows: P 4,000 at the end of 3 months, P 5,000 at the end of 12 months, P 3,000 at the end of 15 months, and a final payment F at the end of 21 months. If the rate of interest was 18% compounded quarterly, find the final payment F.arrow_forwardFive annual deposits of P2,300 were made at the beginning of each year in an account that pays7% compounding semi-annually.a. What will be the accumulated amount at the end of five years?b. What is the present worth of the deposits?arrow_forwardSuppose that the interest rate is 10% per year, compounded annually. What is the minimum amount of money that would have to be invested for a three-year period in order to earn P300 in interest?arrow_forward
- You are buying a home for $500,000. If you make a down payment of $80,000and take out a mortgage on the rest at 10% compounded monthly, what will be your monthly payment if the mortgage is to be paid off in 12 years?arrow_forwardYou borrowed $22,000 to buy a new car from a bank at an interest rate of 9% compounded monthly. This loan will be repaid in 60 equal monthly installments over five years. Immediately after the 24th payment, you desire to pay the remainder of the loan in a single payment. Compute this lump-sum amount.arrow_forwardA principal of P10,450 is deposited in a 8.46% account and compounded continuously. At the same time a principal of P21,197 is deposited in a 3.89% account and compounded annually. How long does it take the amounts in the two accounts to be equal? Write your answer in two decimal places.arrow_forward
- Money borrowed today is to be paid in 6 equal payments at the end of 6 quarters. If the interest is 12% compounded quarterly. How much was initially borrowed if quarterly payment is P200,000.arrow_forwardAnswer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 8. Compound Interest How many years are required for P 1,000 to increase to P 2,000 if invested at 9% per year compounded continuously?arrow_forward6. Determine the accumulated amounts after 5 years of P1,000.00 invested at the rate of 10% compounded daily? 1,628.90 1,648.61 1,645.31 8. What is the effective rate of interestof P500.00 to be four times its value if invested at the rate of 10% compounded semiannually? 11.30% 10.25% 5.18%arrow_forward
- Consider the cash flow series given in the accompanying table. What value of C makes the deposit series equivalent to the withdrawal series at an interest rate of 6% compounded annually?arrow_forwardYou are preparing to buy a vacation home eight years from now. The home will cost $50,000 at that time. You plan on saving three deposits at an interest rate of 10%: Deposit 1: Deposit $10,000 today. Deposit 2: Deposit $12,000 two years from now. Deposit 3: Deposit $X five years from now. How much do you need to invest in year five to ensure that you have the necessary funds to buy the vacation home at the end of year eight?arrow_forwardIt is desired to have P100,000 two years from now by depositing P20,000 now and 10 uniform monthly amounts, the first of which to be made one year from now. What would that monthly amount be if interest rate is 12% pa compounded monthly? a. P 6,921.21 b. P6,990.42 c. P 9,277.10 d. P7,060.33arrow_forward
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