Question

Future value. A speculator has purchased land along the southern Oregon coast. He has taken a loan with the end-of-year payments of $7,200 for 8 years. The loan rate is 5%. At the end of 8 years, he believes that he can sell the land for $70,000. If he is correct on the future price, did he make a wise investment?

A) What is the future value of the loan 8 years from​ now?

B) Did he make a wise investment?

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Answer #1

a.Future value of annuity=Annuity[(1+rate)^time period-1]/rate

=$7200[(1.05)^8-1]/0.05

=$7200*9.549108876

=$68,753.58(Approx).

b.Since sale proceeds is higher than future value of loan;a wise investment is made.

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