Formler Flashcards
PV
PV(rate ; nper ; PMT ; [FV] ; [Type]
- Type 1: PMT beginning of year
- Type 0: PMT end of year
NPV
NPV(rate;value1; [value2];…)
PMT
PMT(rate ; nper ; PV ; [FV] ; [Type]
- Type 1: PMT beginning of year
- Type 0: PMT end of year
XNVP
Calculates the NPV tha tmay not be periodic.
NXRR
VBA code to fix multiple IRR
XIRR
Calculates the IRR that may not be periodic.
Annualized IRR with daily rates. XIRR = (1+daily IRR)^365 -1
Feasible portfolio
Envelope portfolio
Efficient portfolio
Feasible portfolio
- Form the efficent set
Envelope portfolio
- Lowest variance of any giveen E(r)
Efficient portfolio
- Highest E(r) for any variance
FV
- =FV(rate; nper; pmt; [pv]; [type])
Rate
RATE(nper; pmt; pv; [fv]; [type]; [guess])
MMULT
=MMULT(array1; array2)
BLTracking
o(i≈j) = Cov / O^2
o(o=j) = O^2 / O^2
Inputs Varcovar
{=VarCovar(returns)}
Sim inputs
=SIM(returns; market returns)
Slope(i) * slope (j) * var(rm)
CorrMatrix
{=CorrMatrixTriangular(return; =averageIF(corrmatrixtriangular;”<1”)}
Constant corr
{=constantcorr(returns; average correlation)}
StDev(i) * StDev(j) * rho
TwoStagegordon
- =TwoStageGordon(Po; Do; g1; m; g2)
GVMP
Lowest variance among all feasible portfolios. The only envelope portfolio that does not depend on expectedreturns.
Scaling factor
The Black-Litterman model assumes the market portfolio is efficient, meaning its weights reflect the trade-off between excess returns and risk (variance and covariance) based on investors’ aggregate risk aversion.
Using this assumption, the model calculates the implied expected returns for individual stocks, ensuring they align with the efficient market portfolio.
This provides a foundation for combining market-implied returns with investor views to adjust expectations and optimize portfolio weights
Why is betas not right when testing SML?
- Short-sale constraints
- Disagreement among investors
- Individual preferences
- The uncertainty about what constitutes the true “market portfolio”
- Whether the “market portfolio” is truly efficient
Explain the different entreprise value approaches
Accountant
Efficient market
Discounted cash flow
FCF
- Free cash flow: is the cf from the firm’s operating activities, disregarding how the firm is financed.
Accounting profit after tax
+ Dep. and non-cash expenses
- Increase in Operating current assets
+ Increase in Operating current liabilites
- Increase in fixed assets at cost (CAPEX)
Market value of Equity:
E = price per share * shares outstanding
Market value of Debt:
D = Net debt = financial debt – liquid assets
COst of dept
- Average cost of existing dept
- Net paid interest/(average dept of this and previos year)
- Dept curve
- Collect a lot of data of similar bonds
- Get the average time to maturity (years)
- Run a regression on the yield curve (qubic equation)
- Solve the equation for Y, which is a qubic equation: ax^3 + bc^2 + cx + d
Example of solving the Y (equation is the regression) = maturity