You've won the lottery, and your winnings will pay out in equal quarterly payments (that is, you will receive one payment every 3 months).. You plan to put this money into a savings account with a 15% APR, compounded monthly. What is the effective quarterly interest rate for the account? (Give your answer in percent format, rounded to 2 decimal places.) Typed numeric answer will be automatically saved.

A geometric gradient that increases at f= 5% per year for 15 years is shown in the accompanying diagram. The annual interest rate is 10%. What is the present equivalent value of this gradient? AClick the icon to view the diagram for geometric gradient values. Click the icon to view the interest and annuity table for discrete compounding when i= 5 % per year. Click the icon to view the interest and annuity table for discrete compounding when i= 10% per year. 4... The present equivalent value of the gradient is $ (Round to the nearest dollar.)

Compound interest is a very powerful way to save for your retirement. Saving a little and giving it time to grow is often more effective than saving a lot over a short period of time. To illustrate this, suppose your goal is to save $1 million by the age of 70. What amount of money will be saved by socking away $3,038 per year starting at age 23 with a 7% annual interest rate. Will you achieve your goal using the long-term savings plan? What amount of money will be saved by socking away $20,406 per year starting at age 48 at the same interest rate? Will you achieve your goal using the short-term savings plan? Click the icon to view the interest and annuity table for discrete compounding when i = 7% per year. The future equivalent of the long-term savings plan is $. (Round to the nearest dollar.) C

Compare the interest earned by $10,000 for three years at 9% simple interest with interest earned by the same amount for three years at 9% compounded annually. Why does a difference occur? Click the icon to view the interest and annuity table for discrete compounding when i=9% per year. The simple interest earned is (Round to the nearest dollar.) (Round to the nearest dollar.) The compound interest earned is $ There is a difference in the amount of interest earned because compound interest allows interest from previous years to earn additional interest, whereas simple interest only considers the original principal.