Question
1. Find the EAR in each of the following cases (Use 365 days a year. Do not round intermediate calculations. Enter your answers as a
1. Find the EAR in each of the following cases (Use 365 days a year. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.): |
Stated Rate (APR) |
| Number of Times Compounded |
| Effective Rate (EAR) | |||||
| 8.7 | % |
|
| Quarterly |
|
| % |
|
| 17.7 |
|
|
| Monthly |
|
|
|
|
| 13.7 |
|
|
| Daily |
|
|
|
|
| 10.7 |
|
|
| Infinite |
|
|
|
|
2.
Big Doms Pawn Shop charges an interest rate of 26.7 percent per month on loans to its customers. Like all lenders, Big Dom must report an APR to consumers. |
What rate should the shop report? (Do not round intermediate calcualtions. Enter your answer as a percent rounded to 1 decimal place, e.g., 32.1.) |
APR | % |
What is the effective annual rate? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
EAR | % |
3.
One of your customers is delinquent on his accounts payable balance. Youve mutually agreed to a repayment schedule of $750 per month. You will charge 1.9 percent per month interest on the overdue balance. |
|
If the current balance is $18,000, how long will it take for the account to be paid off? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
Months for account to be paid off |
|
4.
You want to be a millionaire when you retire in 40 years. |
How much do you have to save each month if you can earn an annual return of 12 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
Savings per month | $ |
How much do you have to save each month if you wait 10 years before you begin your deposits? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
Savings per month | $ |
How much do you have to save each month if you wait 20 years before you begin your deposits? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
Savings per month | $ |
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