Week 2 Flashcards
mathematical formulas in finance
= concept of hte time value of money gets to hte heart of every calculation. nb/c the calculations are driven by the fundamental principles
value of cash flow in time
- use formulas to calculate the value of cash flows when either pushing them out in time (calculate a future value) or pulling them back in time (calculate a present value)
source of funds corporations use to fund their operations
corporations use other people’s money (from debtors or common stock holders) to fund their operations. those investers deserve to be paid for the use of their money
cost of money
raising money costs money
2 general forms of how corporations raise money
debt = borrowing money
equity = selling partial ownership in the firm
debt =
borrowing money
equity =
selling partial ownership in the firm
what is the cost of debt
interest
what does interest rte mean to the borrower & lender
borrower = interest rate represents cost
lender = interest rate represents income (aka yield/return)
what does interest rate represent to borrowers
interest rate represents the cost of debt
what does the interest rate represent to the lender
interest rate represents income to the lender. aka yield/return
yield or return
interest rate the lender of debt gets for letting someone borrow money
2 costs of equity
dividends = quarterly payment of cash
capital gains = increases in teh stock market price
dividends
quarterly payments of cash
quarterly payments of cash
dividends
capital gains
increases in the stock market price
increases in the stock market price
capital gains
total yield to equity holders =
dividend yield and the capital gains yield
what is the value of an asset with the present value of cash flow
value of an asset with the present value of the cash flows the asset is expected to produce
discounting
when discounting is done more frequently than annually, that inccreases the discount rate so the present value of hte cash flow decreases
what happens when you increase the discount rate
when you increase the discount rate, that decreases the present value of cash flow
why do people save their money
so it can earn interest over time
- they are free to consume their income now but can choose to postpone consumption and instead invest their money in order to have more money available in the future
**money has time value b/c investing it will lead to having additional funds available in the fture
**a dollar today is worth more than a dollar due one year from now b/c it can be invested today to be worth more than a dollar one year for now
APR
annual percentage rate
deposit $1,000 into an account that pays 5% APR (annual percentage rate) compounded annually, how much money will you have one year from today
$1050.
so $1K today is worth $1050 tomorrow
what is income earned in a savings account
= income to the account holder
&
expense to the bank
why do account holders deposit their money into banks
account holders deposit their money in order to earn interest and have more money available in the future
why do banks pay interest to account hoolders
banks pay interest to account holders so they can use their money to invest elsewhere (car/house loans) at a rate of return higher than the interest paid to the account holder
***b/c the bank can earn a higher return b/c they end to make investments that have more RISK than a savings account. so they earn a higher return than the savings account pays
what is interest rate for invested money dependent on
interest rate earned on invested money is dependent upon the amount of risk the investor is willing to bear
nominal risk free rate
least amount a rational investors should be willing to accept for postponing consumption of their income.
-interest rate paid on an investment that bears no risk other than the risk of the cost of inflation
= pure time value of money. the cost paid for postponing consumption w/o taking any risk other than inflation
**beyond that, the return of the investor earns should increase w/their willingness to bear more risk
calculating the FV
future value
- determine the value of current cash flows inteh future
mathematic method for calculating present values
discounting
compounding
calculating future values based on the cash flow growing larger over time as it continues to earn compound interest
what is discounting
calculating present values
-results in cash flow growing smaller the farther back in time the value is calculated
multiplier used to calculate the present value of a single cash flow
discounting (calculating present value) results in cash flow growing smaller the further back in time the value is calculated(
-so the multipler to calculate the present value will be less than one (how much less than one is dependent on the interest rate used and number of periodis back in time required)
calculating future versus present values
compounding = calculating future values as they groun as they continue to earn cound interest(multiplier is more than one)
discounting = calculating present values growing smaller the farther back in time the present value is calculated (multiplier is less than one)
multipliers used to calculate the future and present values of cash
future = compounding = more than one
present = discounting = less than one
how do you calculate the present value of a bond
present value of a bond is calculated by removing the required yield on the bond over the life of the bond
how do you calculate the present value of stock
by removing the required return on the stock
how do you calculate the present value of a production project
by removing the cost of money to all investors (bond holers and shareholders)
how do you calculate the present value of the firm
removing the cost of money to all investors (bond holers and shareholders)
what is the purpose of discounting when you are valuing an asset
when valuing an asset, the purpose of disocunting is to acount for the return the firm owes to its investors for being able to use their money
what does the discount rate represent when calculating the future cash flows
w/future cash flos, the discount rate represents the opportunity cost of hte investment - the yield on the next best investment avalilable
what is a tool that is helpful in time value caulcations
time line
-lists cash flows based on when they occur, whether those cash flows are being compounded to calcuate a future value or discounted to calculate a present value
how is compound interest earned
both on the principle (initial cash flow) and accurued interst
initial cash flow
principle
principle
initial cash flow
how do you determine the future value of a series of unequal cash flows
sum the future values of hte individual cash flows
** compound each cash flow out to the future period in question. then sum those future values to get the value of the series of cash flowsi n the future
discounting
procedure for calculating the present value of cash flow
- determines the economic equivalent today of a cash flow to be received in the future, assuming a given discount rate
coumpounding/discounting & interest
compounding = adds interest over time to calculate the future value of the cash flow
discounting= removes interest going back in time to determine the present value of hte cash flow
** discount rate represents the opportunity cost for hte cash flow - the interest rate your would earn/pay if hte cash flow was available today to invest
what does the APR mean when it is quoted to you
Annual rate banks/financial firms/businesses that extend credit quote you for the transaction being considered
- when you buy a new car, the dealer will quote you an annual interest rate for financing the purchase
*since car/credit card payments are made monthy, the interest paid on teh car loan/credit card debt is compunded monthly
**each loan, result is that you pay a higher effective annual interest rate
how do you determine the periodic interest rate of APR
you must divide the APR by the number of compounding/discounting periods per year to determine the periodic interest rate
what happens when compounding/discounting is done more frequently than annually
your time line is no longer inyears. it is in months
** the rate of interest paid/earned increases
AR
effective annual rate
what happens to interest paid when the APR
when compounding is done more frequently, the actual interest paid exceeds the quoted APR (annual rate)
*more frequent compounding results in a higher value
annuity
series of equal cash flows paid at regular intervals for a finite period of time
choices of lottery winners
single lump sum
or
series of equal (annunity) payments over 20 yers
2 types of annunities
ordinary & annunities due
ordinary annunity: payments come at the end of hte period
annunities due: payments come at the beginnign of hte period
what happens if annunity payments are made at the beginning of the period (annunity due)
if annunity payments are made at the beginning of hte period, they will be discounted for one less peroid thant he present value calculation
perpetuity
an annunity with no scheduled end date
e.g. preferred stock dividend (fixed in ammount and paid on a scheduled basis w/o end)
annunity w/o scheduled end date
perpetuity
amortized loan
debt for which payments are calculated to be of equal value over the life of hte loan and which contribute to both the interest owed onthe loan as well as the repayment of hte principle
for amortized loans, when is the principle owed the highest
early in the life of hte loan, the principle owed is at its highest sot he earlier payments contribute more to interest than repayment of the principle
- over time, the principal is reduced more and more so later in the life of the loan, the payments contribute more to repayment of hte principle than to interest (e.g. as more principle is repaid, less is owed)
- so the makeup of hte payments is mostly interest at first buyt over time, becomes less interest and more repayment of hte principle
* amount ofht e payments does not change o ver time but the makeup of hte payments (interest versus principle) change sw/each payment
how to think about financial statements of a corporation
“roadmap” of how the firm’s managers have been making decisions on behalf of hte firm’s stakeholders
= serves as the basis of a firm’s value
- contains data about how many transactions the firm has been involved in over the period fo time the statement represents (quarterly/annual reports)
how can a firm use ratio analysis
ratio analysis offers tools to determine what the firm is doing well and where it needs to improve. helps to give an overall picture of hte firm’s current/future prospects
skill that all corporate managers must be able to do
read/understand/analyze
- income statement
- balance sheet
topics about financial theory
three principles of finance
three precepts
4 financial statements published by corporations
balance sheet
income statement
statement of cash flows
statement of retained earnings
what is a balance sheet
snapshot of hte firm’s financial position at a point in time
- shows value of asset accounts
- liabilities & owners equity accounts on a s pecific date
what is it called a balance sheet
assets on top//side
liabilities/equity at the bottom/side
MUST EQUAL to balance
what does the assets part of the balance sheet show
where the firm is utilizing its capital
what does the liabilities/owners equity part of the balance sheet sow
sources of funds being utilized
what accounts for differences in balance sheets on a daily basis
inventories bought/sold, receiviables incurred/collected, checks written or cashed, seasonal issues,
when do firms typically end their fiscal year
firms generally end their fiscal year during a slow season when monthly sales/inventories are at their lowest
how is the assets side of the balance sheet organized
Includes: things the firm owns and utilizes in the production of their product/services
* listed in descended order of liquidity
liquidity
ability to turn an asset into cash quickly at a fair market value
more liquid an asset is…
liquidity = ability to turn an asset into cash quickly at a fair market value
- the more liquid an asset, the more likely you are to be able to sell it quickly if necessary and therefore, the lower the asset’s risk
2 types of assets found on the balance sheet
current assets and fixed asets
current assets
expected to be turned over (consumed/replenished) in one year or less
- inventories should be sold off in less than one year
fixed assets
expected to be in service for a long time
how are liabilities on the blaance sheet organized
listed in the order they need to be paid
** owner’s equity is last bc/ shareholder’s claims represent ownershiop & don’t get paid off
2 reasons why owner’s equity is listed last on the balance sheet
- shareholders claims represent ownership so they are never paid off
- shareholders have a residual claim so they get paid first
amounts listed on the balance sheet accounts
book value
total common equity line on the balance
= book value of common equity
how are book values different from market values
market values = current determind in the marketplace
book values = historic determined at the point of sale