Change in bond price

Percentage change in bond price

\[ {Approximate{\\text{ }}\% {\\text{ }}change{\\text{ }}in{\\text{ }}bond{\\text{ }}price = {\\text{ }} - ModDur \\times OYTM} \]

Where:

• M is the Number of compounding periods per year
• FV is the Future value
• PV is the Present value
• r is the Rate of return per compounding period
• N is the Number of compounding periods
• PMT is the Fixed periodic cash flow
• CF is the Cash flow
• IRR is the Internal rate of return.
• HPR is the Holding period return
• HPY is the Holding period yield
• RBD is the Annualised yield on a bank discount basis
• D(Dollar discount) is the Purchase price - face value
• F is the Face value t
• 360 is the Bank convention of number of days in a year
• RMM is the Money market yield
• X is the Mean
• σ is the Standard deviation
• k is the Value of standard deviation
• CV is the Coefficient of variation
• Rp is the Portfolio return
• RFR is the Risk free rate
• σp is the Standard deviation of portfolio return
• s is the Sample standard deviation
• Weight w is the Market value of investment in asset i/market value of the portfolio
• n is the Size of the sample
• σx is the Standard error of sample mean
• x is the Point estimate of population mean
• tα/2 is the The t-reliability factor
• RCC is the Continuously compounded rate of return
• TRIN is the Short term trading index
• Δ is the Change
• MC is the Marginal cost
• Pi,t is the Price of good i in year t
• Qi,t is the Quantity of good i produced in year t
• GDP is the Gross domestic product
• C is the Con\sumption spending
• I is the Buisness investment
• G is the Goveremnt spending
• X is the Export
• M is the Import
• M is the Money supply
• V is the Velocity of money in transactions
• P is the Price level
• Y is the Real gdp
• CPI is the Con\sumer price index
• Rnom is the Nominal interest rate
• Rreal is the Real interest rate
• RP is the Risk premium for uncertainty
• DDB is the Double declining balance method
• EPS is the Earning per share
• NI is the Net income
• NCC is the Non cash charges
• FC Inv is the Fixed capital investment
• WC Inv is the Working capital investment
• FCFE is the Free cash flow to firm
• CFO is the Cash flow from operations
• ROA is the Return on assets
• ROE is the Return on equity
• RR is the Retention rate
• DTL is the Deferred tax liability
• DTA is the Deferred tax asset
• Wd is the Percentage of debt in capital structure
• Wps is the Percentage of preferred stock in the capital structure
• Wcc is the Percentage of common stock in the capital structure
• Kce is the Cost of equity capital
• RFR is the Risk free rate
• E(Rm) is the Expected return on market
• CAPM is the Capital asset pricing model
• D1 is the Next year dividend
• K is the Required rate of return on common equity
• g is the Firm’s expected constant growth rate
• D/E is the Comparable company’s debt to equity ratio
• CRP is the Country risk premium
• DOL for a particular level of units
• Q is the Quantity of units sold
• P is the Price per unit
• V is the Variable cost per unit
• F is the Fixed costs
• S is the Sales
• TVC is the Total variable costs
• BEQ is the Breakeven quantity of sales
• Po is the Initial purchase price
• Vo is the Current stock value
• Dt is the Dividend at time t
• Ke is the Required rate of return
• CFO is the Cash flow from operations.
• Dp is the Fixed dividend
• Kp is the Required rate of return
• EV is the Enterprise value
• YTM is the Yield to maturity
• V¬_ is the Price increase
• V+ is the Price decrease
• V0 is the Current price
• D is the Duration on bond
• W is the Weight
• C is the Intrinsic value of call option
• S is the Spot price
• X is the Strike price
• C is the Call
• P is the Put
• S is the Stock
• X is the Present value

Instructions to use calculator

1. Enter the scientific value in exponent format, for example if you have value as 0.0000012 you can enter this as 1.2e-6
2. Please use the mathematical deterministic number in field to perform the calculation for example if you entered x greater than 1 in the equation \[y=\sqrt{1-x}\] the calculator will not work and you may not get desired result.
3. Pay attention to the (*) field,this is the field which can not explicitly expressed from other variable and should be calculated Iteratively, i.e in the first iteration you should enter dummy value in this field along with the other fields value and run the calculation, in the next iteration adjust the value of other fields to get the desired result for example in the sum of n term of GP equation \[{{S}_{n}}=a\left( \frac{1-{{r}^{n}}}{1-r} \right)\] to calculate r (which cannot be expressed explicitly in terms of a,n) enter some arbitrary value of r in the first iteration along with the values of a and n and in the next iteration adjust the value of a and n to get correct value of r
4. You should reset calculator for new calculation however result of last field can be recalculated without reset the calculator, you just need to change the value of other fields.
5. If you find something wrong please report us through report icon or write us through contact us