Lesson 12.4: Calculator and Calculation Workflow

Introduction

In the CFA Level II exam, time management is crucial. You will need to make quick, accurate calculations using an approved financial calculator while reading complex multi-exhibit vignettes. This lesson will focus on developing a disciplined workflow for efficiently solving multi-step valuation calculations. By the end of this lesson, you will be able to use your financial calculator effectively under pressure, execute common calculations rapidly, and minimize errors through strategic problem setup.

Learning Objectives

• Efficient use of the approved financial calculator under time pressure.
• A disciplined workflow for multi-step valuation calculations.
• Execute common calculations rapidly and accurately.
• Set up multi-step problems to minimize keystrokes and errors.
• Explain the main ideas and terminology behind Lesson 12.4: Calculator and Calculation Workflow.

H2: Understanding Your Financial Calculator

A financial calculator is a powerful tool that can perform a variety of mathematical calculations relevant to finance, including present value, future value, net present value (NPV), internal rate of return (IRR), and amortization among others. Understanding how to utilize your financial calculator effectively is vital for the success in the CFA exam.

H3: Setting up the Calculator

Before tackling exam questions, familiarize yourself with the basic functions of your financial calculator. Most calculators have similar functions, such as:

• N: Number of periods
• I/Y: Interest rate per period
• PV: Present value
• PMT: Payment per period
• FV: Future value

H4: Basic Functionality Example

Consider a situation where you need to calculate the future value of an investment. Suppose you invest $1,000 at an interest rate of 5% per year for 3 years.

Steps:

$1. Set N = 3 $

$2. Set I/Y = 5 $

1. Set PV = -1000 (the investment is an outflow)
2. Compute FV = ?

Using the calculator, you would enter the values and press the FV button to find that:

$$FV = 1000 \times (1 + \frac{5}{100})^3 \approx 1157.63$$

This means the future value of the investment will be approximately $1,157.63 after 3 years.

H2: Calculator Workflows for Multi-Step Valuations

When dealing with multi-step calculations, it is essential to have a disciplined workflow. Prime your calculator for the calculations by ensuring every entry is correctly set according to the problem statement.

H3: Example of Multi-Step Problem

Example Scenario: You are evaluating a project that requires an initial investment of $50,000 and is expected to generate cash flows of $15,000 per year for 5 years. The discount rate is 8%.

1. Calculate the Present Value of Cash Flows:

Each cash flow can be treated as an annuity. Use the annuity formula:

$$PV = PMT \times \left(1 - (1 + r)^{-n}

ight) / r$$

where:

• $PMT = 15000$
• $r = 0.08$
• $n = 5$

Through the calculator setup:

$- Set N = 5 $

$- Set I/Y = 8 $

$- Set PMT = -15000 $

• Compute PV:

$$PV = 15000 \times \frac{1 - (1 + 0.08)^{-5}}{0.08} \approx 56351.83$$

1. Determine Net Present Value (NPV) of the project:

$$NPV = PV - Initial Investment$$

Substituting the earlier value gives:

$$NPV \approx 56351.83 - 50000 \approx 6351.83$$

The computing calculator yields NPV of approximately $6,351.83.

H4: Common Errors to Avoid

• Misplacing Negative Signs: Negative signs are crucial in cash flow operations, primarily when dealing with investments.
• Incorrectly Setting the Number of Periods: Ensure the duration of cash flows matches the periods you program into the calculator.

H2: Minimizing Keystrokes and Errors

To excel in the CFA Level II exam, practitioners must develop skills to minimize unnecessary changes to calculator settings, thus reducing errors and saving time. Here are strategies to accomplish this:

H3: Use of Memory Functions

Most calculators possess memory functions. If you calculate a value that you will use multiple times, store it in memory to avoid re-entering the value.

H4: Example of Memory Function Use

Using data from the earlier example, after calculating the Present Value, you can store it:

• Store \NPV in memory: $PV$ is approximately 56351.83 and saved in memory as $M+$.
• Access the stored value for subsequent calculations without re-typing or recalculating.

H2: Conclusion

In this lesson, we have focused on how to effectively use an approved financial calculator to solve multi-step valuation problems under exam conditions. You learned the importance of establishing a disciplined workflow, minimizing errors, and executing calculations efficiently. Mastery of calculator functions and strategies will enable you to perform better in the CFA Level II exam by saving time and increasing accuracy in your calculations.

Study Notes

• Understand the basic functions of your financial calculator.
• A disciplined workflow is essential for multi-step calculations.
• Incorrect signs or settings can lead to significant errors in your calculations.
• Use memory functions to store values for ease of calculation.
• Familiarity with common calculation types will enhance speed and accuracy under exam conditions.