PLEASE DONT ANSWER THIS QUESTION IF YOU DONT WANT TO ANSWER ALL OF THE QUESTIONS.

1) On January 1st, 2019 you invest a principal of P dollars into a savings account. At the end of the odd months (January, March, May, ...) you receive an interest payment at r% deposited into the account. At the end of the even months (February, April, June, ...) you receive an interest payment of s% deposited into the account. What is the value of the account on January 1st, 2020?

2) Today you invested $300 into an account which pays 2% interest, compounding every 20 days. What is the value of the account 60 days from now?

3) You deposit $1000 into each of three investment accounts:

• Account A, with an effective annual rate of r%
• Account B, with an APR of r% compounding monthly
• Account C, with an effective continuous rate of r%

which account has the largest balance?

4) You have a generous aunt who offers to send you money in 2020 to help cover living and school expenses while you are in university. She gives you the following three options:

• $100 monthly, starting January 1st, 2020 and ending December 1st, 2020.
• $200 every other month, starting January 1st, 2020 and ending November 1st, 2020.
• $200 every other month, starting February 1st, 2020 and ending December 1st, 2020.

Assuming an interest rate of 2%, which option has the largest value as of January 1st, 2020?

5) On January 1, 2019 you purchase a bond with a face value of $1000 and one year maturity. The bond pays $50 coupons twice each year: once on July 1st, 2019; and once on January 1st, 2020. Suppose the risk-free interest rate is an APR of 3.6% compounding monthly. Which expression below describes the value of the bond on the day you purchased it?

6)You have purchased a home with a mortgage of P dollars, amortized over 30 years (360 months) at an APR of 2.4% compounded monthly. Your monthly payments on this mortgage are $2200. After 10 years (120 months) you decide to sell the home and pay off the mortgage. Determine the value of the exponent N such that the equation below describes how much of the principal is still owing on the house.