You have just graduated and are starting you new job as financial analyst. Here are a few details:

You are $25$ years old and plan to retire at age $65$

Your starting salary is $$60,000$ per year

You expect to receive annual increases of $3\%$

Assume all $401$k contributions are done once per year on January $1$

You invest $25\%$ of your money in:

Vanguard Total Stock Market Index VTSAX

Vanguard Total International Stock VTIAX

Vanguard Total Bond VBTLX

Vanguard Total Global Bond VGCIX

Using the $5$ year average for each fund, answer the following:

Assume you contribute $10\%$ of your salary every year. $.$ What will be the balance in your $401$k plan at age $65?$

Assume that you allocate $100\%$ to VTSAX until age $40.$ Then you allocate $50\%$ to VTSAX and $50\%$ to VBTLX until age $65.$ What will be your balance at age $65?$