Question

1. Suppose that you are age 25 today and plan on retiring at age 65. You determined that you need to have saved $659754 in real dollars by the time you retire. How much must you contribute (in real dollars) each year to your retirement account to achieve your goal? Assume the following:

• you make annual contributions;
• each contribution is the same amount in real dollars;
• the first contribution will be one year from today;
• your last contribution will be at age 65;
• your portfolio earns a real annual rate of return of 4.45%, compounded annually.

Do not round at intermediate steps in your calculation. Round your answer to the nearest dollar. Do not type the $ symbol.

2. Suppose that you are considering a conventional, fixed-rate 30-year mortgage loan for $100,000. The lender quotes an APR of 7.07%, compounded monthly; mortgage payments would be monthly, beginning one month after the closing on your home purchase.

After 19 years of payments, what is the balance outstanding on your loan?

Do not round at intermediate steps in your calculation. Round your answer to the nearest penny. Do not type the $ symbol.

Answer 1

I can only answer 1 question at a time, so I am answering only question 1.

1. Total number of payments= 65-25 = 40

Annual contribution =

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