A broadband service company borrowed $2 million for new equipment and repaid the loan in amounts of $219,000 in years 1 and 2 plus a lump sum amount of $2.3 million at the end of year 3. What was the interest rate on the loan

Respuesta :

Answer:

12.15%

Explanation:

The interest rate on the loan is the rate that solves the equation

[tex]P=\frac{A_{1} }{1+r} +\frac{A_{2}}{(1+r)^{2} } +\frac{A_{3}}{(1+r)^{3} }[/tex]

Where P = loan amount

A = the annual repayment for each year

r = the interest rate

[tex]2,000,000=\frac{219,000 }{1+r} +\frac{219,000}{(1+r)^{2} } +\frac{2,300,000}{(1+r)^{3} }[/tex]

Using interpolation or a financial calculator, the rate that solves the equation is 12.148504% = 12.15%.

Answer:

%12.15

Explanation: