Question

In: Finance

You have $100,000 in an account that earns 2% APR (Compounded monthly) You want to earn...

You have $100,000 in an account that earns 2% APR (Compounded monthly)
You want to earn a higher rate of return and therefore are considering two alternative investments. You will put your $100,000 in one of the two new accounts.
Investment 1 will pay you $860 per month for starting next month 120 months.
Investment 2 will pay you $2,600 per month for starting next month 40 months.

Which account should you choose and how much does it increase your net worth?

Choose Investment 2 it increases your net worth by $528

Choose Investment 1 it increases your net worth by $544

Choose Investment 2 it increases your net worth by $508

Choose Investment 2 it increases your net worth by $547

Solutions

Expert Solution

INVESTMENT 1
Rate Monthly interest rate=(2/12)% 0.1667%
Nper Number of months 120
Pmt Monthly payment $860
PV Present Value of Payments $93,464.59 (Using excel PV function with Rate=0.1667%, Nper=120, Pmt=-860)
INVESTMENT 2
Rate Monthly interest rate=(2/12)% 0.1667%
Nper Number of months 40
Pmt Monthly payment $2,600
PV Present Value of Payments $100,528.11 (Using excel PV function with Rate=0.1667%, Nper=40, Pmt=-2600)
ANSWER:
Choose Investment 2 it increases your net worth by $528


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