Answer fully, show work and calculator inputs... there are 4 parts to the question please answer them all and separate them(ex N= , I/Y= , PV= , PMT= , FV= ) thank you!

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You are the manager of a mobile phone manufacturer. Your firm currently holds $2,000 cash on hand. You cannot find a good investment opportunity now, so you decide to deposit all the cash into a bank's savings account. There are two banks having good relation with your firm: Bank A and Bank B. Bank A provides you 2% interest rate, quarterly compounding, on its savings account. Bank B provides you 2.5% interest rate, quarterly compounding, on its savings account. Which bank's savings account would you choose to deposit your firm's cash into? (Hint: you can calculate the true rate mathematical or explain your decision theoretical. Both method give you consistent conclusion.) Your firm keeps generating $5,000 cash per quarter from the operation, and you deposit all the cash into your savings account. One year later, your Research & Development department comes up with a cutting-edge technology. Based upon this tech, you can release a new product, uPhone Max. You need to upgrade your equipment in order to produce uPhone Max. The estimated cost to upgrade is $40,000. You need to raise up the fund for the upgrade. One source is the money in your savings account. How much money do you have in your savings account now? How much money you still need to borrow from the bank in order to upgrade the equipment? (Hint: do not forget the cash you hold on hand initially.) Now you talk with Bank A and Bank B about the interest rate they will charge on the loan. Both banks will charge you 6% interest. However, Bank A is monthly compounding, while Bank B is quarterly compounding. Which bank will you borrow from? (Hint: again, you can provide me either mathematically or theoretically explanation.) If put into the market, uPhone Max will bring your firm $10,000 revenue per quarter. uPhone Max will dominate the market for the next 2 years, before any competitors can catch up with your firm's technology. Two years later, your R&D department will be able to upgrade the technology. Your firm will then terminate the uPhone Max and release a new model, uPhone Max Pro. You will sell the equipment of your uPhone Max to your competitor and recover $20,000 from the selling. Given your initial $40,000 investment to upgrade your equipment, what is the rate of return from your project? Do you think your firm should invest into the uPhone Max project? (Hint: the rate of return calculated by your calculator is the periodic rate. You can transfer the periodic rate into the equivalent/effective annual rate. Recall that in the formula for EFF%, "is the periodic rate.) M