investment decision rules questions. Please show in the process (not on excel) hoe you get the answer. thanks.

1.You are saving for graduate school and want to have $50,000 in six years' time. How much do you have to deposit every month if your investment account has an EAR of 9.5% and pays you interest every month?

2.Your best friend wants to borrow $5,000 from you and offers to pay you back $6000 in a year. If you looked for similar investments, they would provide you with a cash flow of $5795 on year from today. A one-year treasury bill currently yields 1.2%. What is the opportunity cost of capital? If you decided to borrow money from the bank to make the investment, what is the maximum interest rate you could be charged by the bank to break even on the investment?

3.You decide to take out a loan to buy a new factory for $100,000. The bank offers you a 9% APR loan with monthly payments. If the monthly payments are $3180 per month, what is the term of the loan?

3)As the bond manager of Investko Inc., you are charged with the task of selecting one of two corporate bonds. Bond A has a 10 year maturity, $1000 par value and has a coupon rate of 2% and pays interest semi-annually. It is priced similar to BBB corporate rated bond. Bond B also has a 10 year maturity, $1000 par value and has a coupon rate of 5% coupon rate and pays interest semiannually. It is priced similar to a AAA corporate rated bond. You note that 10 year maturities have the following yields: Treasuries 2.1%, AAA 3.8%, BBB 4.9%. If you expect interest rates to fall 1%, which bond should you select for the portfolio?