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Business
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Contemporary Engineering Economics
Quiz 4: Understanding Money and Its Management
Path 4
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Question 1
Essay
Your bank calculates the interest based on 12.5% APR on your credit card balance. Suppose that your current outstanding balance is $2,000 and you skip payments for two months. What would be the total balance two months from now?
Question 2
Essay
Suppose you borrowed $10,000 at an interest rate of 12%, compounded monthly over 36 months. At the end of the first year (after 12 payments), you want to negotiate with the bank to pay off the remainder of the loan in 8 equal quarterly payments. What is the amount of this quarterly payment, if the interest rate and compounding frequency remain the same?
Question 3
Essay
Henry Jones is planning to retire in 15 years. He wishes to deposit an equal amount (A) every 6 months until he retires so that, beginning one year following his retirement, he will receive annual payments of $30,000 for the next 15 years. Determine the value of A which he should deposit every 6 months if the interest rate is 8%, compounded semi-annually
Question 4
Essay
If the interest rate is 9.5% compounded continuously, what is the required quarterly payment to repay a loan of $15,000 in four years?
Question 5
Essay
You are considering buying a new car worth $15,000. You can finance the car by either withdrawing cash from you savings account, which earns 8% interest or by borrowing $15,000 from your dealer for four years at 11%. You could earn $5,635 in interest from your savings account for four years if you left the money in the account. If you borrow $15,000 from your dealer, you only pay $3,609 in interest over four years, so it makes sense to borrow for your new car and keep your cash in your savings account. Do you agree or disagree with the above statement? Justify your reasoning with a numerical calculation. All transactions are monthly.
Question 6
Essay
Suppose you deposit $C at the end of each month for 10 years at an interest rate of 12%, compounded continuously. What equal end-of-year deposit over 10 years would accumulate the same amount at the end of 10 years under the same interest compounding?
Question 7
Essay
At what rate of interest, compounded monthly, will an investment double itself in 5 years?
Question 8
Essay
You are planning to retire in 10 years. You plan to deposit money at 8% compounded quarterly. What equal amount of deposit must you make at the end of each quarter until your retirement so that you can make a withdrawal of $45,000 semiannually over five years after your retirement? Assume that the first withdrawal occurs at the end of six months after your retirement.
Question 9
Essay
What is the equal-payment series for 8 years that is equivalent to a payment series starting with $15,000 at the end of the first year and decreasing by $2,000 each year over next seven year? Interest is 9% compounded monthly.