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Copyright ©2015 Pearson Education, Inc. All right reserved. Chapter 5  Mathematics of Finance.

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Presentation on theme: "Copyright ©2015 Pearson Education, Inc. All right reserved. Chapter 5  Mathematics of Finance."— Presentation transcript:

1 Copyright ©2015 Pearson Education, Inc. All right reserved. Chapter 5  Mathematics of Finance

2 Copyright ©2015 Pearson Education, Inc. All right reserved. Section 5.1  Simple Interest and Discount

3 Slide 1 - 3 Copyright ©2015 Pearson Education, Inc. All right reserved.

4 Slide 1 - 4 To furnish her new apartment, Maggie Chan borrowed $4000 at 3% interest from her parents for 9 months. How much interest will she pay? Solution: Copyright ©2015 Pearson Education, Inc. All right reserved. Example:

5 Slide 1 - 5 Copyright ©2015 Pearson Education, Inc. All right reserved.

6 Slide 1 - 6 Copyright ©2015 Pearson Education, Inc. All right reserved.

7 Slide 1 - 7 Copyright ©2015 Pearson Education, Inc. All right reserved.

8 Slide 1 - 8 Suppose that $5000 is invested at an annual interest rate of 3.1% compounded continuously for 4 years. Find the compound amount. Solution: Copyright ©2015 Pearson Education, Inc. All right reserved. Example:

9 Slide 1 - 9 Copyright ©2015 Pearson Education, Inc. All right reserved.

10 Slide 1 - 10 Copyright ©2015 Pearson Education, Inc. All right reserved.

11 Section 5.2  Annuities, Future Value,  and Sinking Funds

12 Slide 1 - 12 Copyright ©2015 Pearson Education, Inc. All right reserved.

13 Slide 1 - 13 Copyright ©2015 Pearson Education, Inc. All right reserved.

14 Slide 1 - 14 A business sets up a sinking fund so that it will be able to pay off bonds it has issued when they mature. If it deposits $12,000 at the end of each quarter in an account that earns 5.2% interest, compounded quarterly, how much will be in the sinking fund after 10 years? Solution: Copyright ©2015 Pearson Education, Inc. All right reserved. Example:

15 Slide 1 - 15 Copyright ©2015 Pearson Education, Inc. All right reserved.

16 Section 5.3  Annuities, Present Value,  and Amortization

17 Slide 1 - 17 Copyright ©2015 Pearson Education, Inc. All right reserved.

18 Slide 1 - 18 Copyright ©2015 Pearson Education, Inc. All right reserved.

19 Slide 1 - 19 Jim Riles was in an auto accident. He sued the person at fault and was awarded a structured settlement in which an insurance company will pay him $600 at the end of each month for the next seven years. How much money should the insurance company invest now at 4.7%, compounded monthly, to guarantee that all the payments can be made? Solution: Copyright ©2015 Pearson Education, Inc. All right reserved. Example:

20 Slide 1 - 20 Copyright ©2015 Pearson Education, Inc. All right reserved.

21 Slide 1 - 21 Copyright ©2015 Pearson Education, Inc. All right reserved.

22 Slide 1 - 22 Copyright ©2015 Pearson Education, Inc. All right reserved.

23 Slide 1 - 23 Copyright ©2015 Pearson Education, Inc. All right reserved.


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