Alex wishes to save money to provide for his retirement . Beginning one month from now, he will begin depositing a fixed amount into a retirement savings account that will earn 13% compounding monthly. He will make 360 such deposits . Then , one year after making his final deposit , he will withdraw 110,000$ annually for 25 years. the fund will continue to earn 13% compounded monthly. How much should the monthly deposits be for his retirement plan? (please retain at least 4 decimal places in your calculation.
2) Security A has an expected return of 7% and a standard deviation of 6.1% . Security B has an expected return of 10% and a standard deviation of 11%. The correlation coefficient between A and B is 1.(i.e the two stocks are perfectly positively correlated.) If the standard deviation of the portfolio consisting of security A and B is 5.4% , what fraction of the total money has been invested in security B? (Assume short selling is allowed)
(note : please retain at least 4 decimal places in your calculations and 2 decimal places in your calculations and 2 decimal places in the final answer)
The fraction of the total money has been invested in the security B is _________%.
