In the demonstration problem in Illustration G-13, how much must be deposited today to have EUR 5,000 in 4 years with a 9 percent interest rate?

Correct answer: EUR 3,542.15

Explanation

This question asks for a specific calculation from a demonstration problem in the text, testing the ability to calculate the present value of a future lump sum.

Other questions

Question 1

What is the primary difference between simple interest and compound interest?

Question 2

According to the example in Illustration G-1, if you borrowed EUR 5,000 for 2 years at a simple interest rate of 12 percent annually, what would be the total interest paid?

Question 3

What is the future value of a single amount?

Question 4

Using Table 1 from Appendix G, what is the future value of EUR 1,000 invested for 4 years at 9 percent compounded annually?

Question 5

What is a series of equal dollar amounts to be paid or received at evenly spaced time intervals called?

Question 6

Using Table 2 from Appendix G, what is the future value of an investment of EUR 2,500 made at the end of each year for 4 years, earning 6 percent interest compounded annually?

Question 7

The process of determining the value now of an amount to be paid or received in the future is referred to as what?

Question 8

Using Table 3 from Appendix G, what is the present value of EUR 1,000 to be received in 5 years, assuming a discount rate of 10 percent?

Question 9

Which of the following situations would require using the Present Value of an Annuity of 1 table (Table 4)?

Question 10

Based on the example in Illustration G-16, what is the present value of 5 annual rental payments of EUR 6,000, discounted at 12 percent?

Question 11

When calculating the present value of a bond, why must you discount both the principal and the interest payments?

Question 12

For a 10 percent, five-year bond with a face value of EUR 100,000 and semiannual interest payments, what are the number of periods (n) and the interest rate (i) used for discounting?

Question 13

Using the values from Illustration G-19, what is the present value of a EUR 100,000, 10 percent, 5-year bond with semiannual interest payments, when the discount rate is also 10 percent?

Question 14

If the discount rate is 12 percent but the contractual interest rate on a bond is 10 percent, the present value of the bond will be:

Question 15

What is the primary objective of using discounted cash flow techniques in capital budgeting decisions?

Question 16

In the Nagel-Siebert Trucking Company example, what is the net present value of the investment if the company uses a 10 percent discount rate?

Question 17

What is the net present value (NPV) decision rule?

Question 18

How does the internal rate of return (IRR) method differ from the net present value (NPV) method?

Question 19

What is the first step in determining the internal rate of return (IRR) for a project with equal annual cash flows?

Question 20

An investment of EUR 130,000 has expected net annual cash flows of EUR 39,000 for 5 years. What is the internal rate of return factor?

Question 21

If the internal rate of return factor for a 5-year project is 3.3333, what is the approximate internal rate of return according to Table 2 in Appendix G?

Question 22

What is the IRR decision rule?

Question 23

How does the time value of money concept explain why you would prefer to receive EUR 1,000 today versus EUR 1,000 a year from now?

Question 24

Which of the following is NOT one of the three elements that determines the amount of interest?

Question 25

What is the present value of a single sum of EUR 84,253 to be received in five years, discounted at 11 percent, according to the financial calculator example in Illustration G-26?

Question 26

Which statement is true when comparing the present value of EUR 1,000 at a 10 percent discount rate versus a 15 percent discount rate?

Question 27

If you receive EUR 500 semiannually for three years instead of EUR 1,000 annually, how do the number of periods and discount rate change for present value calculations, assuming a 10 percent annual rate?

Question 28

When using a financial calculator for a present value of a single sum problem, what value is typically entered for the PMT key?

Question 29

If you invest EUR 1,000 for three years at 9 percent simple interest, what is the total amount you will have at the end of the three years?

Question 30

If you invest EUR 1,000 for three years at 9 percent interest compounded annually, what is the total amount of compound interest earned?

Question 31

To determine the future value of EUR 20,000 invested for 18 years at 6 percent compounded annually, which table and factor would be most appropriate?

Question 32

In the demonstration problem on page G-9 (Illustration G-12), what is the present value of EUR 10,000 to be received in 3 years, discounted at 8 percent?

Question 33

In capital budgeting, the net present value (NPV) method is used to evaluate an investment in a new truck by Nagel-Siebert Trucking Company. Which of the following cash flows is NOT discounted?

Question 34

In the Nagel-Siebert example, if the discount rate increases from 10 percent to 15 percent, what is the effect on the net present value of the truck investment?

Question 35

Which of the following describes the future value of an annuity?

Question 36

Using Table 4, what is the present value of an annuity of EUR 1 to be received for 10 periods at 8 percent?

Question 37

If a financial calculator displays a present value answer as -50,000 after a future value of 84,253 was entered as a positive number, what does the negative sign on the answer indicate?

Question 38

For a mortgage loan with monthly payments, what must be done to the annual interest rate and the number of years to correctly calculate payments using a financial calculator?

Question 39

According to the auto loan example in Illustration G-28, what are the correct inputs for N (number of periods) and PV (present value) to calculate the monthly payment?

Question 40

Which of the three elements that determine interest represents the original amount borrowed or invested?

Question 42

What is the key difference in calculating the future value of a single sum versus the future value of an annuity?

Question 43

Using Table 1, what is the future value of a single amount of EUR 1.00 after 20 periods at 15 percent?

Question 44

Using Table 3, what is the present value of EUR 1.00 to be received after 20 periods, discounted at 15 percent?

Question 45

According to the mortgage loan example in Illustration G-29, what is the maximum home loan someone can afford with a EUR 700 monthly payment over 15 years at an 8.4 percent annual interest rate?

Question 46

When discounting unequal net annual cash flows for a capital budgeting project, which method must be used?

Question 47

In Illustration G-24, why is the present value of the unequal cash flows (EUR 147,339) higher than the present value of the equal cash flows in the prior example (EUR 140,586), even though the total cash flow is the same (EUR 195,000)?

Question 48

If you invest EUR 2,000 at the end of year 1, EUR 2,000 at the end of year 2, and EUR 2,000 at the end of year 3 at 5 percent interest, why does the year 3 investment not earn any interest?

Question 49

Which of these financial instruments' value is determined by discounting a principal amount and a series of interest payments?

Question 50

When would simple interest and compound interest calculations for a one-year period yield the same result?