Mathematics for Finance Dr. Ananda Sabil Hussein.

Slides:



Advertisements
Similar presentations
Capital Budgeting Net Present Value Rule Payback Period Rule
Advertisements

Mathematics of Finance It’s all about the $$$ in Sec. 3.6a.
Sullivan PreCalculus Section 4.7 Compound Interest
Interest.
CONTINUOUSLY COMPOUNDED INTEREST FORMULA amount at the end Principal (amount at start) annual interest rate (as a decimal) time (in years)
8.4 Simple and Compound Interest
What is Interest? Interest is the amount earned on an investment or an account. Annually: A = P(1 + r) t P = principal amount (the initial amount you borrow.
Essential Standard 4.00 Understand the role of finance in business.
Chapter I Mathematics of Finance. I-1 Interest I-1-01: Simple Interest Let: p = Principal in Riyals r =Interest rate per year t = number of years → The.
Section 6.7 Compound Interest. Find the amount A that results from investing a principal P of $2000 at an annual rate r of 8% compounded continuously.
© 2009 Morningstar, Inc. All rights reserved. 3/1/2009 Stocks and Bonds.
Chapter 5. The Time Value of Money Simple Interest n Interest is earned on principal n $100 invested at 6% per year n 1 st yearinterest is $6.00 n 2.
VALUATION OF FUTURE CASH FLOWS FUTURE VALUE WHAT WILL $$ GROW TO?? PRESENT VALUE WHAT ARE FUTURE $$ WORTH TODAY?? WOULD YOU RATHER HAVE $10,000 TODAY OR.
Chapter  Savings are money people put aside for future use. Generally people use their savings for major purchases, emergencies, and retirement.
COMPOUND INTEREST Since this section involves what can happen to your money, it should be of INTEREST to you!
3.6 – Mathematics of Finance
EXAMPLE 5 Find the balance in an account You deposit $4000 in an account that pays 2.92% annual interest. Find the balance after 1 year if the interest.
Saving and Investing Part 1 Personal Finance Mrs. Brewer.
© Family Economics & Financial Education – May 2012 – Time Value of Money Math – Slide 1 Funded by a grant from Take Charge America, Inc. to the Norton.
Thinking Mathematically
Compound Interest 8.2 Part 2. Compound Interest A = final amount P = principal (initial amount) r = annual interest rate (as a decimal) n = number of.
Today in Precalculus Turn in graded worksheet
1 Press Ctrl-A ©G Dear2010 – Not to be sold/Free to use Compound Interest Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)
Identity and Inverse Matrices Solving Systems Using Inverse Matrices
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Simple and compound interest.
#1. #2 #3 Graph by hand. #4 #5 If $5000 is invested at 9% interest, find the amount after three years if the interest is compounded (a) monthly.
Objective Solve problems involving exponential growth and decay.
Unit 8 – Personal Finance Compound Interest Formula.
One member of each team will face off and answer a question on their own ($100). The team that wins the face off will have the first chance to answer the.
Ch. 6 - The Time Value of Money , Prentice Hall, Inc.
Chapter 10: Compound Interest, Future Value, and Present Value  Find the future value and compound interest by compounding manually.  Find the future.
Planning Personal Finances. Personal Financial Planning SPENDING SAVING INVESTING So you can have the kind of life you want as well as financial security.
Chapter D and E – compound interest and depreciation
Investment Analysis Chapter #8. Time Value of Money u How does time affect money? u Does money increase or decrease over time?
Time Value of Money Dr. A Vinay Kumar Assistant Professor Finance and Accounting Group.
Mergers & Acquisitions January 27 / TA Session / Eric Rinder.
Section 5-4 The Number e and the Function. The number e You have already seen many exponential functions. In advanced mathematics, the most important.
Slide R.1- 1 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Linear and Non Linear Equation for Economics Dr. Ananda Sabil Hussein.
Math – Solving Problems Involving Interest 1.
1 IIS Chapter 5 - The Time Value of Money. 2 IIS The Time Value of Money Compounding and Discounting Single Sums.
Copyright © 2011 Pearson, Inc. 3.6 Mathematics of Finance.
Find the amount after 7 years if $100 is invested at an interest rate of 13% per year if it is a. compounded annually b. compounded quarterly.
Section 6.7 Financial Models. OBJECTIVE 1 A credit union pays interest of 4% per annum compounded quarterly on a certain savings plan. If $2000 is.
INTRODUCTORY MATHEMATICAL ANALYSIS For Business, Economics, and the Life and Social Sciences  2011 Pearson Education, Inc. Chapter 5 Mathematics of Finance.
Bellringer Calculate the Simple Interest for #s 1 and 3 and the Total cost for #2. 1.$1800 at 3.2% for 4 years. 2. $17250 at 7.5% for 6 years. 3. $3,650.
Math 1320 Chapter 2: The Mathematics of Finance 2.2 Compound Interest.
Use the information in the table to make a circle graph. COURSE 2 LESSON 7-9 No. of People in Household Number (in thousands) or more 26,724.
Bellringer Calculate the Simple Interest for #s 1 and 3 and the Total cost for #2. 1.$1800 at 3.2% for 4 years. 2. $17250 at 7.5% for 6 years. 3. $3,650.
Endowment and Spending Calculator October 2014 “Creating Transformational Gifts”
Interest Applications - To solve problems involving interest.
Chapter 3: Consumer Math
Future Value of an Investment
Mathematics of Finance
Project Appraisal: Applications of NPV
Housing Affordability Peaked at Q1 2012
Housing Affordability Peaked in Q1 2012
Time Value of Money.
©G Dear2008 – Not to be sold/Free to use
Simple and Compound Interest
3.6 – Mathematics of Finance
Differentiation in Economics
Housing Affordability Peaked at Q1 2012
Time Value of Money Math
Today in Precalculus Notes: Mathematics of Finance (need a calculator)
Compounded and Continuous Interest
Compound Interest.
Example 7 Investment The future value of $3000 invested for 3 years at rate r, compounded annually, is given by What interest rate will give a future value.
Annual Percentage Yield APY
Presentation transcript:

Mathematics for Finance Dr. Ananda Sabil Hussein

Math For Finance Household spending A base year is chosen and the value of 100 is allocated to that year. I f we choose 1998 as the base year then the index number of 1998 is 100. Calculate the index number of 1999 and 2000 !

Interest Rate and Investment Appraisal P = principal S = future value r = interest rate t = time

Question This table shows the number of items (in thousands) produced from a factory production line during the course of a year. Taking the second quarter as the base quarter, calculate the associated index numbers. Q1Q2Q3Q4 Output

Practice You are given the opportunity of investing in one of the three projects. Projects A, B and C require initial outlays of $20000, $30000 and $ and are guaranteed to return $25000, $37000 and $ respectively in three years time. Which of these projects would you invest in if the market rate is 5% compounded annually?