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Exam (elaborations)

BEC CPA Exam Formulas_Ratios (1)

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BEC CPA Exam Formulas_Ratios (1)

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  • July 17, 2024
  • 12
  • 2023/2024
  • Exam (elaborations)
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BEC CPA Exam Formulas/Ratios
Stated Interest Rate/ SAR/ Nominal Int. Rate - ANS-no calculation needed!

EIR (effective int. rate) - ANS-EIR= Int. paid per period/net loan proceeds

=((P*SAR)/#ofperiods)/net loan proceeds

net loan proceeds=
loan proceeds - compensating balance

APR (annual percentage rate) - ANS-APR= EIR * periods in a year

EAR (effective annual percentage rate) - ANS-EAR = (1 + EIR) -1

= (1 + (i/P)) ^P - 1

= ( (1+SR)/#ofperiods)^#ofperiods


i: SAR
P: compounding periods in a year

Simple interest - ANS-SI= P * Rate * Time

Compound interest - ANS-CI= P (1 + EIR)^n

= P (1 + i)^n

Required Rate of Return (0 sum game) - ANS-Rror = RFR + Risk Premiums

= (real rate of return + inflation premium) + RP

Risk Free Rate - ANS-RFR = real rate of return + inflation premium

Value of a Firm - ANS-= PVFCF/WACC

ROIC (return on invested capital) - ANS-NI / (Inv. Cap * WACC%)

WACC (weighted avg cost of capital) - ANS-WACC= (Cost of E. * E%ofA's) + (ATax COD * %D)

BE SURE AFTER TAX COST OF DEBT!!

, (bc. debt int. is deductible)

Weighted Avg. Cost of Debt - ANS-step 1: WAIR= EIR pmt.'s / debt outstanding

step 2: get ATCOD = PTCOD (1-tax rate)

step 3: multiply by % of Debt of total Assets

Pretax to after tax - ANS-Pretax = ATAX/ (1-tax rate)

After tax to pretax - ANS-After tax= Pretax * (1-tax rate)

Cost of P/S - ANS-Cost of P/S= (P/S dividends) / (net proceeds P/S)

P/S dividends= Par * %
net proceeds of P/S=
P/s proceeds - flotation costs - disc. value loss

3 Methods of Cost of R/E's (Common Equity) - ANS-1. CAPM
2. DCF
3. BYPR

CAPM - ANS-=RFR + (beta *(Mkt. Return - RFR))

beta - ANS-the volatility of own stock to S&P 500

1: as risky
>1: riskier
<1: less risky

mkt return - ANS-S&P 500 rate

RFR - ANS-yield of government bond
= Required Rate of Return + Inflation Premium

g (growth rate) - ANS-g= ROE * retention rate

g= (NI/E) * (1-payout rate)

retention rate - ANS-= 1-payout rate

= (C/S div's declared) / (inc. - P/S)

Market Return on Interest on 1 year Treasury Bill - ANS-= RFR + Inflation Premium %

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