4-3 LOAN CALCULATIONS AND REGRESSION

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4-3 LOAN CALCULATIONS AND REGRESSION Banking 4/19/2017 4-3 LOAN CALCULATIONS AND REGRESSION OBJECTIVES Calculate the present value of a single deposit investment. Calculate the present value of a periodic deposit investment. Chapter 1

Key Terms monthly payment calculator natural logarithm linear regression equation quadratic regression equation cubic function cubic regression equation

Example 1 Hannah is taking out a 4.3% loan to purchase an $18,000 car. The length of the loan is 8 years. How much will she pay in interest?

Exponential Bases and Natural Logarithms

Loan Length Formula M = monthly payment p = principal r = interest rate t = number of years

Example 2 Claude wants to borrow $25,000 to purchase a car. After looking at his monthly budget, he realizes that all he can afford to pay per month is $300. The bank is offering a 5.9% loan. What would need to be the length of his loan be so that he can stay within his budget?

EXAMPLE 3 This lesson opened with a discussion about a $100,000 loan with an APR of 7.5% taken out in January 2010 for a period of 15 years. Examine the table of decreasing loan balances over the 15-year period. Use regression to determine a curve of best fit for this data.

CHECK YOUR UNDERSTANDING Use the linear, quadratic, and cubic regression equations determined in Example 3 to compare the computed loan balances when x = 2 with the loan balance amount given in the chart for 2011.