Hello. Could you help me solve this set of problems?

How many years should you hold the case of wine before selling it? [Consider only integer years. Suppose that interest is compounded discretely (annually), not continuously.) How much money will you receive for the case of wine at the time of its sale? What is the net present value of that investment?Let's consider the problem that is the continuous-time analog to the above discrete-time problem. This is perhaps a more realistic problem. Suppose interest is compounded continuously instead of discretely. You may again choose how many years to hold the case of wine before selling it but now suppose you can sell at any time. not just at the integer years. How many years should you hold the case of wine before selling it? How mu ch money will you receive for the case of wine at the time offm sole? What is the net present value of that investment? In lecture. Professor Gruber explained discrete compounding interest. Interest can also be compounded continuously. Here we explain the difference. Professor Gruber calculated future value as FF 2 Pfl + If. where P is the principal. 1" is the interest rate. and t is the term of the contract {often in years}. This formula can be generalized to FF 2 P(1 + rim)\". where m is the number of compounding periods per year {in lecturer this was '1}. Th at isr after every compounding period. more interest accrues on both the principle and the previous accrued interest. 111is is discrete compounding. Suppose that m becomes large. For example the interest rate could be 10% per year. but compounded each minute. Future value rises as 11:. increases. but it rises at a diminishing rate. It turns out that as 712. goes to innityr future value is described by an exponential function. F'V = P6\