Question

Adams Bautista needs $26,700 in 8 years. Click here to view factor tables

Answer 1

Answer:

a. $10,783.68

b. $10,510.36 semi annual compounding

Explanation:

a. This question requires the present value of $26,700 given 8 years and compounded annually at 12%.

Present Value = $\frac{Future Value}{ ( 1 + interest)^{number of periods} }$

Present Value = $\frac{26,700}{ 1.12^{8} }$

Present Value = $10,783.68

He would need to invest $10,783.68 today.

b. This is a duplicate of question 1 but I will solve it assuming semi-annual compounding just in case.

12% per annum would become = 12/2 = 6% per semi annum

Number of periods would become = 8 * 2 = 16 periods

Present Value = $\frac{Future Value}{ ( 1 + interest)^{number of periods} }$

Present Value = $\frac{26,700}{ 1.06^{16} }$

Present Value = $10,510.36

He would need to invest $10,510.36 today.