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ArgieBond Calculator
The purpose of this calculator is to provide calculations and details for bond valuation problems.
Instructions: Fill in the spaces that correspond to the number of years, maturity, coupon rate, and yieldtomaturity,
Future Value of AnnuityFV = C + C( 1 + r ) + C ( 1 + r )^{2} + ... + C( 1 + r )^{n  1} = C [((1+r)^{n}1)/r]where C is the cashflow and n is the number of cashflows. Net Present Value of AnnuityNPV = C / (1 + r) + C / (1 + r)^{2} + ... + C / (1 + r)^{n} = C { 1  [1/(1+r)^{n}] / r }where C is the cashflow and n is the number of cashflows.
Continuous CompoundingFrom compounding m times per year to continuous compounding:r_{c} = m * ln( 1 + r_{m} / m ) From continuous compounding to compounding m times per year: r_{m} = m( e^{rc / m}  1 ) Example
Next, consider an interest rate that is quoted 12% per annum with continuous compounding. The equivalent rate with annual compounding is r_{1} = 1 (e^{0.12/1}  1 ) 0.1275 = 12.75%
Compounding FrequencyFrom compounding m times per year to annual compounding:r = (1 + r_{m} / m) ^{m}  1 From annual compounding to compounding m times per annum: r^{m} = m * [ (1 + r)^{(1/m)}  1 ] Example
r = ( 1 + 0.08 / 4 )^{4}  1 = 0.0824 = 8.24% From m to n compoundings per annum: The formula below can ber used to transform a rate r^{n} with n compoundings per year to a rate r^{m} with m compoundings per year r^{n} = n * [ ( 1 + r_{m} / m )^{m/n}  1 ] ExampleConsider a rate with compounding frequency four times per year.If the rate is 7% then the equivalent rate with semiannual compounding: r^{2} = 2 * [ ( 1 + 0.07 / 4 )_{4/2}  1 ] = 0.0706 The equivalent rate with semiannual compounding is 7.06%
