Math Problem Statement

Construct NPV profiles for Projects A and B. Round your answers to the nearest cent. Do not round your intermediate calculations. Negative value should be indicated by a minus sign.

Discount Rate

NPV Project A

NPV Project B

0%

$  fill in the blank 10

$  fill in the blank 11

5

$  fill in the blank 12

$  fill in the blank 13

10

$  fill in the blank 14

$  fill in the blank 15

12

$  fill in the blank 16

$  fill in the blank 17

15

$  fill in the blank 18

$  fill in the blank 19

18.1

$  fill in the blank 20

$  fill in the blank 21

23.54

$  fill in the blank 22

$  fill in the blank 23

Solution

To construct NPV profiles for Projects A and B, we first need to calculate the Net Present Value (NPV) for each project at various discount rates. To calculate NPV, we use the following formula:

NPV=Ct(1+r)tNPV = \sum \frac{C_t}{(1 + r)^t} Where:

  • CtC_t = Cash flow at time tt,
  • rr = Discount rate,
  • tt = Time period.

However, in order to provide the specific NPV values, I need details about the cash flows (C_t) for each project. Could you provide the cash flow information for both Project A and Project B over the relevant periods? Once I have those, I can calculate the NPV at the given discount rates and complete the table for you.

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Math Problem Analysis

Mathematical Concepts

Net Present Value (NPV)
Discount Rate
Financial Calculations

Formulas

NPV = Σ (C_t / (1 + r)^t)

Theorems

Time Value of Money
Discounting

Suitable Grade Level

Grades 11-12