Ten years ago, Hailey invested $2,300 and locked in a 9 percent annual interest
ID: 2715626 • Letter: T
Question
Ten years ago, Hailey invested $2,300 and locked in a 9 percent annual interest rate for 30 years (end 20 years from now). Aidan can make a 20-year investment today and lock in a 10 percent interest rate.
How much money should he invest now in order to have the same amount of money in 20 years as Hailey?(Do not round intermediate calculations and round your final answer to 2 decimal places.)
Present value
How much money should he invest now in order to have the same amount of money in 20 years as Hailey?(Do not round intermediate calculations and round your final answer to 2 decimal places.)
Present value
Explanation / Answer
The Amount Haily will have after 30 years FV30 = (PV*(1+i))30
= $2300*(1+9/100)30
= $2300*1.0930
= $30515.66
SO Aidan will have to Deposit PV = FV/(1+i)20
= $30515.66/(1+10)20
= $30515.66/ 1.1020
= $ 4535.96
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