In: Finance
You opened an account and deposited X Dollars on January 1, 2002 in National City Bank. Any balance in the account will earn 5% per year. You withdrew $500 on January 1, 2006 and $500 on January 1, 2008. You closed out this account on January 1, 2011 and received $700. How much did you initially deposit (X) in National City at the time you opened the account?
Present value of all the future inflows will be equal to the maount deposited in the beginning
Future inflows are $ 500 in the 5th year beginning (i.e. 4years compunding) , $500 in the 7th year beginning (i.e.6 year compunding) and $ 700 in the 10th year beginning (i.e.9 year compounding)
So,
X = 500/(1.05)^4 + 500/(1.05)^6 + 700/(1.05)^9
X= 411.35 + 355.34 + 429.74
x = $1196.43