1. You start saving $100 per month in an account that pays 5% interest, compounded monthly. You make the payment at the beginning of each month and interest is applied at the end of each month. How much money will you have in the account in 5 years? Show your work

2. A grandfather sets up a trust for his only grandchild. The trust consists of an annuity that will pay $5,000 monthly to the grandchild for 18 years. The annuity pays an annual return of 5% and makes the payments monthly at the end of the month. Return on the annuity is 5% annually. The payments to the grandchild are paid at the beginning of the month. The annuity will have a value of $0 at the end of the 18 years. How much needs to be deposited to set up the annuity? Show your work.

3. A project requires an initial cash outlay of $60,000 and has expected cash inflows of $15,000 annually for 8 years. The cost of capital is 10%. What is the project's NPV? Show your work.

4. A project requires an initial cash outlay of $60,000 and has expected cash inflows of $15,000 annually for 8 years. The cost of capital is 10%. What is the project's discounted payback period? Show your work.