Question

In: Finance

You make a $1,000 deposit to an investment account today. The investment earns 5% p.a compounding...

You make a $1,000 deposit to an investment account today. The investment earns 5% p.a compounding monthly for the first 12 months, then it earns 10%p.a compounding monthly for the next 3 years. At the end of the 4 years the balance in the account is (to the nearest whole dollar; don't use $ sign or commas)

Solutions

Expert Solution

Amount invested $                               1,000.00
Interest rate 5%
Compounding Monthly
Period in years 1
Amount= Investment * (1+rate)^time
Amount after 1 year = 1000*(1+5%/12)^12
Amount after 1 year = $                               1,051.16
Amount invested $                               1,051.16
Interest rate 10%
Compounding Monthly
Period in years 3
Amount= Investment * (1+rate)^time
Amount after 3 year from year 1 i.e after 4 years = 1051.16*(1+10%/12)^(12*3)
Amount after 3 year from year 1 i.e after 4 years = $                               1,417.16

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