Assume that Goliath Inc. plans to pay a set of dividends that will grow at $4\%$ per year forever. The dividend will be $$2$ next year. The required return of Goliath's stock is $12\%.($Note: this information is sufficient to solve #$6.$ The next paragraph sets up the context for #$7-10.)$

Suppose Victor has $$1000$ today. He decides to buy $10$ shares of Goliath's stock today and save the rest of his $$1000$ into the Whales Cargo bank, which provides an annual interest rate of $6\%.$ Victor will sell his shares of Goliath's stock in year $3$ and withdraw the money from the bank as well. Victor wants to know how much money he can have in year $3,$ with such an investment plan.

Question $6$: What is the stock price of Goliath Inc. today?

Question $7$: How much money can victor save in the bank today?

Question $8$: What is the stock price $($per share$)$ of Goliath Inc. when victor sells it in year $3($ immediately after the third dividend is paid out$)?$

How much money can Victor withdraw from the bank in year $3?$

With such an investment plan, how much money will Victor have in year $3?$ Suppose Victor consumes all his dividends over these years and his wealth consists of the capital gains from the stock and the money withdrawal from the bank.