Class 15: Time Value of money; Reporting and Analyzing Liabilities
what do you do for interests compounded more often than annually?
1. Interest rate per compounding period = Yearly interest rate / Compounding periods per year 2. Number of interest periods = Compounding periods per year x number of years
The amount of interest involved is based on three elements:
1. Principal - amount borrowed or invested 2. Interest rate - An annual % of the principal 3. Time - the number of years or portion of a year that the principal is outstanding
to determine annuity payments using future value you would calculate:
Annuity payment = FV of annuity/Factor
to determine annuity payments using present value you would calculate:
Annuity payment = PV of annuity/factor
what are estimated liabilities?
Are definite debts or obligations whose exact dollar amount cannot be known until a later date ex: bonus plans, vacation and sick pay, pension benefits, warranties
How much money will accumulate if you invest in a CD or money market account?
Calculate the future value based on compound interest
How much will you be paying monthly in student loan payments?
Calculate the payments based on the present value of the loan
If you take out an auto loan what will be the monthly loan payments?
Calculate the payments based on the present value of the loan
If you win the lottery, should you take an immediate payment or payment over time?
Calculate the present value of the alternatives based on compound interest.
Warranties:
Companies provide warranties as a sales or marketing tool. An accountant estimates the future repairs and replacement costs related to current sales. Warranty expense is estimated and a liability (warranties payable) is created. When a warranty is honored in the future, the warranties payable account will be reduced for the costs.
To get the future value of an annuity using the tables, you would calculate:
FV of annuity= annuity payment x factor from table 2
To determine number of payments using present value, you would calculate:
Factor = PV of annuity/amount of annuity
long term assets are
Historical cost, but not higher than present value of the cash flows
To get the present value of an annuity using the tables, you would calculate:
PV of annuity = annuity payment x factor from table 4
You inherit $50,000 from a rich uncle. You decide to invest the $50,000 today in a fund that earns 4% compounded annually. To what amount will the investment grow in 4 years when you need to start repaying your student loans? What table will you use?
Table 1: future value of a single amount
When you graduate you want to start saving for a down payment for a home. You figure you can deposit $20,000 at the end of each year in a 4% fund. You are hoping that after 4 years you will have enough for a down payment. What amount will be in the fund immediately after the last deposit? what table would you use?
Table 2: FV Annuity
Lane Kiffin needs $500,000 in 3 years in order to pay his ex-wife a lump sum spousal support. Good thing after getting fired by Alabama he landed the head coach job at Florida Atlantic University (Owls). What amount must he invest today if his investment earns 4% compounded annually? What table should he use?
Table 3: present value of a single amount
Your parents are getting ready to retire. They are considering investing in an annuity contract that will return $150,000 annually at the end of each year for 20 years. What amount should they pay for this investment if it earns a 4% return? what table would you use?
Table 4: present value
Sales taxes are expressed as
a stated percentage of the sales price.
annuity
a stream of equal amounts occurring at regular intervals spread over a period of time
what are known liabilities?
accounts payable, accrued liabilities (expenses), interest payable, short-term notes payable, current portion of long-term debt, deferred revenues (unearned revenues), gift card liabilities and lines of credit
Future value of a single amount is the
amount to be received (paid) in the future based on an amount invested (borrowed) today
current liabilities are shown on:
balance sheet at face value
Usually, which is the preferred interest: simple or compund?
compound
what does the annual rate depend on?
credit score and credit history
What is the value at a specific future date of some $ amount today at a certain interest rate?
future value
Interest be calculated on a simple or compound basis. What is the difference between these calculations?
in a simple interest, you use the same calculation as interest rates in a compound interest, interest rates build up
money is valued by?
interest
Current liabilities fall into two major groups known as:
known and estimated liabilities
single amount
lump sum amount at one point in time
when investing/borrowing compare:
money today vs. money tomorrow
tables assume
ordinary annuity
What is the value today of some $ amount that will be received or paid on a specific date in the future at a certain interest rate?
present value
long-term liabilities are shown at:
present value
bond issue price are
present value of cash flows
leases are
present value of cash flows
Notes Receivable are
present value of the cash flows
For financial reporting purposes we are always talking about
present values
what is used to measure the effect of time on the value of money?
present values and future values
Future Value of an Annuity is the
sum of all the payments or receipts plus the accumulated compound interest on them
Robben Company is considering investing in an annuity contract that will return $40,000 annually at the end of each year for 15 years. What amount should Robben Company pay for this investment if it earns an 8% return? what table would you use?
table 4: present value
the distinction between current and long-term liabilities affects what?
the evaluation of a company's liquidity
is it better to compound an interest a small or large number of times?
the more times compounded, the better
loan payments are based on
the present value of the loan
ordinary annuity
they can be paid at the end of the period
annuity due
they can pay at the beginning of the period
What factors affect the time value of money?
time and money
Present value of a single amount is
today's value of a single sum to be received (paid) at some point in the future
Present Value of an Annuity is the
value now of a series of future receipts or payments, discounted assuming compound interest