This is Actuarial Science: Dollar-weighted and Time-weighted rate of returns

For an investment account, you are given the following information during the first 6 months of the year.

Date	Fund Value Before Activity	Deposit
January 1	60
March 15	75	30
May 1	65	25
June 30	121

a) Use the time-weighted method to calculate the yield rate earned by this investment during the first 6 months. j= % b) Use your answer to part a) to compute the equivalent annual effective interest rate earned by this investment. i= %

You are given the following information about the activity in 2 different investment accounts: Account A

Date	Fund Value Before Activity	Deposit	Withdrawal
January 1, 2014	400
September 1, 2014	445		X
November1, 2014	425	2X
December 31, 2014	445

Account B

Date	Fund Value Before Activity	Deposit	Withdrawal
January 1, 2014	400
April 1, 2014	445		X
December 31, 2014	415.5

During 2014, the dollar-weighted return for investment account A equals the time-weighted return for investment account B, which is equal to i. Compute i %