Natalia makes deposits in an account earning 6% annual effective at the beginning of each quarter for 15 years. Each quarterly deposit in the first year is 200. Each quarterly deposit in the second year is 200 + P, and the quarterly deposits in each year continue to increase by P for the 15 year period. At the end of 15 years, Natalia will purchase a 20 year annuity that makes continuous payments at a rate of 1,200 per year for the first 10 years and 1,900 per year for the second 10 years. The interest rate on the continuous annuity is 4% annual effective. Calculate P. A B C D E 1.97 2.15 2.58 2.76 2.95

Adriana Grandioso has made beginning-of-year deposits into an investment account for the past 21 years. Each deposit was $5635, and the account earned interest at a rate of 4.8% APR, compounded quarterly, each year. Having made her last deposit one year ago, Adriana now plans to transfer all of the accumulated funds today into a money-market account that earns an APR of 1.80% compounded quarterly. If Ms. Grandioso plans to withdraw $5000 from the account at the end of each quarter for the next 9 years (36 quarters), what will be the account balance total exactly nine years from now, immediately after she makes the last quarterly withdrawal?

Shiro’s grandfather has just announced that he’s opened a saving account forShiro with a deposit of RM10,000. Moreover, he intends to make another ninesimilar deposit for the rest nine years at beginning of each year. If the savingsaccount pays 8 percent interest, determine the amount Shiro accumulated atthe beginning of 10 years.

Anthony plans to deposit $500,000 now and $10,000 every 6 months for 5 years into an account. Determine the amount in the account 2 years after the last deposit. The interest rate is 12% compounded quarterly.