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Current Unit: UNIT 10 - ANALYTICAL METHODS
Table of Contents
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DIFFERENT TYPES OF VALUES/RATES OF RETURN
-
PRESENT VALUE
- Indicates value today of the future cash flows of an investment discounted at a specified interest rate
- In Other words, it refers to the deposit required today to compute the future value or goal needed
- The future value, time period and earnings rate are usually known
- To Determine today's value or deposit, you use the known earnings rate or interest as the discount rate to convert the future cost to a present value
- INITIAL DEPOSIT
- You need to take into account expected costs or future value need, expected number of years until you need it, and expected inflation rate
- Salary is not important
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- Required Rate of Return - This can determine how much initial deposit you will need
- Less than anticipated = Require a bigger initial deposit
- Equal or More than anticipated = Requires a normal deposit amount or even less, to reach goal
- Example:
- $100k to invest at 8% expected return, for 18 years = About $25k required initial deposit
- If it was 4% expected return, you would need twice as much initial deposit to reach the same goal
- Bond = Sum of all the discounted future payments (interest payment + repayment of principal at maturity)
-
FUTURE VALUE
- Indicates what an amount invested today at a given rate will be worth at some period in the future
- It depends on ASSUMED INTEREST/Rate of Return and Number of years invested/DURATION OF INVESTMENT
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- NET PRESENT VALUE
- It is the different between an investment's present value and its cost
- Positive NPV:
- Current market price is below PV
- Means the security is available for a price below it's present value; It is a good buy
- Bond: Purchased at 5% rate when the present value is 5.4%, is a Positive NPV
- Securities: fixed income security
- Example: A positive NPV of $10 = Investment cost of $100 and the PV of the investments future returns ($110) equals the NPV of $10
- Negative NPV: Price is too high.
- Example: Cost ($100) is above the PV of $90. NPV is negative $10.
- Zero NPV: It is accurately priced, efficient market
- NPV greater than 0 = internal rate of return is greater than the required rate of return
- NPV equals 0 = internal rate of return equals required rate of return or Current Market Interest rate
- For a bond: This means there is no difference between the PV and Current Market Price, it's a highly efficient market
- Selling at a Premium
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- INTERNAL RATE OF RETURN (IRR)
- Takes the time value of money into consideration
- Best measured with a known price and maturity, and uneven cash flows
- Is the discount rate ( r ) that makes the NPV of an investment equal to zero.
- Determined by trial and error called iteration
- REAL RATE OF RETURN
- Considers inflation rate and risk-adjusted return
- Also called sharpe ratio