question 1,

(A)A student deposits $50 into an account at the beginning of each month for 4 years. What is the accumulated value of this account at the end of 4 years? You are given that the account earns interest at j12 = 4.8%.

(B) Jane purchases a 5 year annuity due that provides for semi-annual payments of $R. The price of this annuity assuming at j2 = 4% is $10,000. Calculate R.

(c) Sam makes n annual deposits of $500 into an account at the end of each year. Xing also makes deposits of $500 annually into an account for n years but his deposits are at the beginning of each year. Both accounts earn interest at a rate of j1 = i. X is the accumulated value of Sams account at the end of n years and Y is the accumulated value of Xings account at the end of n years. Provide a simplified expression for (Y X).

(D) At the end of each month you deposit $100 into a bank account that earns interest at j12 = 3.6%. How many deposits are required for the account balance to accumulate to $2,500 if the final payment is larger than $100?