please help for the whole question

- Fund A - It earns compounded interest at an annual nominal interest rate 6% compounded monthly. - Fund B - It earns compounded interest at an annual nominal interest rate 12% compounded monthly. However, it requires a minimum deposit of $300,000. An Investor would like to invest hs capital Into these two funds for 15 years. Firstly, he opens an account in Fund A (and no deposit made at time 0 ) and deposit $X into fund A at the end of each month. Once the account balance in fund A exceeds $300,000. The investor will withdraw all money from fund A and deposit it immediately to fund B. After that, the investor will deposit $X into fund B at the end of each month. Questions (a) Given X, we let iIRR(X) be the IRR of the investment. Argue that iIRR(X) is monotonic increasing with respect to X. (b) Suppose that the investor wishes to achieve the IRR of at least 10%. Determine the minimum value of X required such that IRR of this 15 -years investment is not less than 10%. Provide full justification to your answer. (@Important note for Problem 9: You only need to derive the key equation(s) for finding minimum value of X without finding the exact value.) - Fund A - It earns compounded interest at an annual nominal interest rate 6% compounded monthly. - Fund B - It earns compounded interest at an annual nominal interest rate 12% compounded monthly. However, it requires a minimum deposit of $300,000. An Investor would like to invest hs capital Into these two funds for 15 years. Firstly, he opens an account in Fund A (and no deposit made at time 0 ) and deposit $X into fund A at the end of each month. Once the account balance in fund A exceeds $300,000. The investor will withdraw all money from fund A and deposit it immediately to fund B. After that, the investor will deposit $X into fund B at the end of each month. Questions (a) Given X, we let iIRR(X) be the IRR of the investment. Argue that iIRR(X) is monotonic increasing with respect to X. (b) Suppose that the investor wishes to achieve the IRR of at least 10%. Determine the minimum value of X required such that IRR of this 15 -years investment is not less than 10%. Provide full justification to your answer. (@Important note for Problem 9: You only need to derive the key equation(s) for finding minimum value of X without finding the exact value.)