Formulas and table structures Flashcards
Promissory Notes table structure
- Due Date
- Payment Date
- Nominal Value
- Bank Fee
- time
- Annual Discount
- Days per year
- Discount interests
- Fee amount
- Total discount
- Proceeds
- Effective Rate Compound
- Effective Rate Simple
Elements given in promissory notes exercises
- Due Date
- Payment Date
- Nominal Value
- Bank Fee
- Annual Discount
- Days per year
time formula (promissory notes)
=Days360(Payment Date; Due Date; TRUE)
Discount interests formula (promissory notes)
=Nominal valueAnnual Discounttime/Days per year
Fee amount formula (promissory notes)
=Bank Fee*Nominal Value
Total Discount formula (promissory notes)
=ADD(Discount interests:Fee amount)
Proceeds formula (promissory notes)
=Nominal Value-Discount interests-Fee amount
Effective Rate Compound formula (promissory notes)
=((N/P)^(B/t))-1
Effective Rate Simple formula (promissory notes)
=(N/P-1)*(B/t)
If we are told to calculate profit obtained from a long-term investment, which table do we use?
- FV
- PV
- NPER
- Annual Return
Which elements are we given in annual return exercises?
- FV
- PV
- NPER
Annual Return formula
=((FV/PV)^(1/NPER))-1
If we are told to calculate the time it takes to get from PV to FV, which table do we use?
- interest rate
- FV
- PV
- NPER SIMPLE
- NPER COMPOUND
Which elements are we given in an NPER exercises?
- interest rate
- FV
- PV
NPER SIMPLE formula
=(FV/PV-1)/i
NPER COMPOUND formula
=LN(FV/PV)/LN(1+i)
Hamburg method table structure
- Effective Balance
- Nº of Days
- Value
- interest rate
- Days per year
- interest rate (30 days)
Elements given in Hamburg method
- Effective balance
- Nº of days
- interest rate
- Days per year
Value formula (Hamburg method)
=Effective Balance*Nº of days
interest rate (30 days) formula (Hamburg method)
=Total Value/Days per year*i
Simple/Compound capitalization Future Value table structure
- interest rate
- Investment
- Nº of years
- Years
- Simple capital
- Simple interest
- Simple End of year
- Compound capital
- Compound interest
- Compound End of year
- TOTAL (column)
- FV (column)
Elements given in FV capialization exercises
- interest rate
- Investment
- Nº of years
- Years
- Simple capital
- Compound capital (Only Co)
Simple interest formula (FV capitalization)
=i*Cn
Simple End of Year formulas (FV capitalization)
=ADD(Co;i)
=End of Year-1+Simple interestn
Compound capital formula (FV capitalization)
=Compound capital-1+Compound interest-1
Compound interest formula (FV capitalization)
=i*Cn
Compound End of Year formula (FV capitalization)
=ADD(Cn:i)
TOTAL column calculations (FV capitalization)
=ADD(simple interest row)
=ADD(compound interest row)
FV column calculations (FV capitalization)
- Simple End of Year =FV(i;Nº Years;i;Investment;0)
- Compound End of Year =FV (i;Nº Years;;-Investment;0)
PV/FV (CF given) table structure
- interest rate
- Year
- Cash Flow
- PV
- FV
- Nº of Years
- NPV
PV/FV (CF given) given elements
- interest rate
- Year
- Cash Flow
- Nº of Years
PV formula
=CFn/(1+i)^Yearn
FV formula
=CFn*(1+i)^(Years-Yearn)
NPV formulas
=CFn/(1+i)^n
=NPV(i;CF row)-TOTAL NPV
Deposits table structure
- Co
- n
- EAR
- m
- Capitalization frequency
- APR
- im
- Cf
- I
- HPR
- Global m
- Global EAR
- Total Return
- Global EAR
Given elements in deposits exercises
- Co
- n
- EAR
- Capitalization frequency
m formula (deposits)
=Capitalization frequency/n
APR formula (deposits)
=((EAR+1)^(1/Capitalization frequency)-1)*Capitalization frequency
im formula (deposits)
=APR/m
Cf formula (deposits)
=Co*(1+im)
I formula (deposits)
=Cf-Co
HPR formula (deposits)
=(1+im)*(1+im)….. (1+im)-1
Global m formula (deposits)
=(n1+n2)/months
Global EAR formula 1 (deposits)
=((1+HPR)^(1/Global m))-1
Total Return formula (deposits)
=Cf/Co-1
Global EAR formula 2 (deposits)
=((1+Total Return)^(1/Global m))-1
PV/FV (APR given) table structure
- APR
- m
- im
- Cash Flow
- PV
- FV
Given elements in PV/FV (APR given) exercises
- APR
- m
- Cash Flow
im formula (PV/FV (APR given))
=APR/m
PV formula (PV/FV (APR given))
=CFn/(1+in)^monthn
FV formula (PV/FV (APR given))
=CFn*(1+in)^(months-monthn)
IRR investment table structure
- Year
- Cash Flow
- IRR
- FV
Given elements in IRR investment exercises
- Year
- Cash Flow
IRR formula (IRR investment)
=IRR(Cash Flow row)
FV formulas (IRR investment)
=FV(IRR;Years;;Co)
=Co*(1+IRR)^Years
RIRR investment table structure
- IRR
- RIRR
- Years
- Cash Flow
- FV with IRR
- Project with implicit IRR
- FV with RIRR
- Project with RIRR
Given elements in RIRR
- IRR
- RIRR
- Years
- Cash Flow
FV with IRR formula (RIRR)
=CFn*(1+IRR)^(Years-Yearn)
Project with IRR formula (RIRR)
=ADD(FV with IRR row)
FV with RIRR formula (RIRR)
=CFn*(1+RIRR)^(Years-Yearn)
Project with RIRR formula (RIRR)
=ADD(FV with RIRR row)
French Loan table structure
- Interest rate
- Annuity
- Years
- Pending capital
- Interest
- Capital repayment
- Annuity
Given elements in French Loan
- Interest rate
- Years
- Co
Annuity formula 1 (French Loan)
=Co*(i/(1-(1+i)^(-Years)))
Pending capital formula (French Loan)
=C-1-Capital repayment-1
Interest formula (French Loan)
=Cn*i
Capital repayment formula (French Loan)
=Annuity-Interests
Annuity formula 2 (French Loan)
=Annuity (Constant value)
Italian Loan table structure
- Interest rate
- Repayment
- Year
- Pending capital
- Interests
- Capital Repayment
- Annuity
Given elements in Italian Loans
- Interest rate
- Year
- Co
Repayment formula (Italian Loan)
=Co/Years
Pending capital formula (Italian Loan)
=C-1-Capital repayment-1
Interests formula (Italian Loan)
=Cn*i
Capital repayment formula (Italian Loan)
=Annuityn-Interestsn (Constant value)
Annuity formula (Italian Loan)
=Interestsn+Repaymentn
American Loans table structure
- Interest rate
- Amortization
- Year
- Outstanding capital
- Interests
- Capital repayment
- Annuity
Given elements in American Loan
- Interest rate
- Amortization
- Year
- Co (Constant value)
Interests formula (American Loan)
=Cn*i
Capital repayment formula (American Loan)
=Amortization
Annuity formula (American Loan)
=Interestsn+Amortizationn
Annuities table structure
- Years
- CF
- i
- PV
- i
- FV
Given elements in Annuities
- Years
- CF
- i
PV formulas (Annuities)
- i1 - Co =Co
=CFn/(1+i1)^Yearn - i2 =CFn/((1+i1)^Years i1)*((1+i2)^(Yearn-Years i1))
FV formulas (Annuities)
- i1 =CF((1+i1)^(Years i1-Yearn))((1+i2)^(Years-Years i1))
- i2 =CFn*(1+i2)^(Years-years i1)
Ways of financing companies tables order
- Stocks
- Reserves
- Loans
- Bonds
- WACC
Stocks (WACC) table structure
- Shares number
- Nominal Value
- Issue premium
- Dividend
- Growth Rate
- Issue Value
- Cost of Equity Common Shares
- Nominal Value Common Shares
- Value Common Shares
Given elements in Stocks section
- Shares number
- Nominal Value
- Issue premium
- Dividend
- Growth Rate
Issue Value formula (Stocks section)
=Nominal Value*Issue Premium
Cost of Equity Common Shares formula (Stocks section)
=(Dividend/Issue Value)+Growth Rate
Face Value Common Shares formula (Stocks section)
=Shares number*Nominal Value
Value Common Shares formula (Stocks section)
=Shares number*Issue Value
Reserves (WACC) table structure
- Amount
- Cost of equity reserves
Cost of equity reserves formula (Reserves section)
=Cost of Equity Common Shares
Loans (WACC) table structure
- Annual Interest Rate
- Years
- PV
- Capital repayment
- Outsanding capital
- Interest
- General Installment
- Fees
- Total Installment w/Fees
- Cost of Loan
Given elements in Loans section
- Annual interest rate
- Years
- PV
Capital repayment formula (Loans section)
=PV/Year
Outstanding capital (Loans section)
= PV
=Outstanding capital-1-capital repaymentn
Interest formula (Loans section)
=Outstanding capital*Annual Interest Rate
General Installment formula (Loans section)
=-(Capital repayment+Interest)
Fees formula (Loans section)
=Opening Fee
Total Installment formula (Loans section)
=SUMA(General installment:Fees)
Cost of Loan formula (Loans section)
=IRR(Total installment row)
Bonds (WACC) table structure
- Bonds number
- Nominal value
- Issue premium
- Issue Value
- Issue Value
- Coupon
- Year
- PV
- Installment
- Oustanding capital
- Interests
- Issue premium
- Total
- Cost of bonds
Given elements Bonds section
- Bonds number
- Nominal value
- Issue premium
- Issue value
- Year
Issue Value formula (Bonds section)
=Issue Value*Bonds Number
Coupon formula (Bonds section)
=Issue premium
PV formula (Bonds section)
=Bonds number*Nominal value
Installments formula (Bonds section)
=Outstanding capital
Outstanding capital formula (Bonds section)
=PV
=Intallments-Outstanding capital
Interests formula (Bonds section)
=Coupon*Bonds number
Issue premium formula (Bonds section)
=-Issue premium*Bonds number
Total formula (Bonds section)
=-(Installments+Interests)
Cost of Bonds formula (Bonds section)
=IRR(Total row)
WACC table structure (by columns)
- Amount
- Cost
- Proportion
- Weight
Amount column structure (WACC)
- Value common Shares
- Amount reserves
- PV
- Issue value
- ADD
Cost column structure (WACC)
- Cost of equity common shares
- Cost common stocks
- Cost of loan
- Cost of bonds
- AVERAGE
Proportion column structure (WACC)
=Common stocks/TOTAL
=Reserves/TOTAL
=Loans/TOTAL
=Bonds/TOTAL
Weight column structure (WACC)
=Cost*Proportion
WACC formula
=SUMPRODUCT(Cost column;Proportion column)