Question

In 1626, Dutchman Peter Minuit purchased Manhattan Island from a local Native American tribe. Historians estimate that the price he paid for the island was about $24 worth of goods, including beads, trinkets, cloth, kettles, and axe heads. Many people find it laughable that Manhattan Island would be sold for $24, but you need to consider the future value (FV) of that price in more current times. If the $24 purchase price could have been invested at a 5% annual interest rate, what is its value as of 2012 (386 years later)?

Answer 1

The value of the island as of 2012=$3,624,771,902

Step-by-step explanation:

To determine the future value of the 1626 investment, use the expression below;

F.V=P.V(1+r)^n

where;

F.V=future value of investments

P.V=present value of the investment

r=annual interest rate

n=number of years

In our case;

F.V=unknown

P.V=$24

r=5%=5/100=0.05

n=386 years

Replacing;

F.V=24(1+0.05)^386

F.V=24(1.05)^386

F.V=$3,624,771,902

The value of the island as of 2012=$3,624,771,902