/* DEC *BondPrice(price, acc,yield, coupon, ppy, mop, dap, yrp, mom, dam, yrm) * * ARGUMENT * DEC *price; * DEC *yield; * DEC *coupon; * int ppy; * int mop, dap, yrp; * int mom, dam, yrm; * * DESCRIPTION * Calculate the price of a bond given the desired yield, coupon rate * for receiving interest on a bond, number of payments per year, and the * puchase and maturity dates. * * SIDE EFFECTS * None. * * RETURNS * price if successful, otherwise GM_NULL * * POSSIBLE ERRORS * GM_NULLPOINTER * GM_INIT * GM_ARGVAL * * AUTHOR * Jared Levy * Copyright (C) 1988-1990 Greenleaf Software Inc. All rights reserved. * * MODIFICATIONS * * Mark Nelson * Fixed bond pricing to accurately convert effective to nominal before * making calculations. * */ #include #include "gmsystem.h" DEC *BondPrice(price,acc,yield,coupon, ppy, mop, dap, yrp, mom, dam, yrm) DEC *price, *yield, *coupon, *acc; int ppy, mop, dap, yrp, mom, dam, yrm; { DEC dtemp, *temp=&dtemp, dtemp2, *temp2=&dtemp2; DEC dnper, *nper=&dnper, dpmt, *pmt=&dpmt; DEC dnyield, *nyield=&dnyield, dfvopi, *fvopi=&dfvopi; DEC ddsc, *dsc=&ddsc, ddcs, *dcs=&ddcs; DEC dopi, *opi=&dopi, dopinm1, *opinm1=&dopinm1; int ndays, npay; _MacStart(GM_BONDPRC); _MacInVarD(yield); _MacInVarD(coupon); _MacOutVarD(price); if (ppy<1||ppy>12||CompareDecimal(yield,&decMinusHundred)<=0) { _MacErr(GM_ARGVAL); _MacRet(GM_NULL); } /* calculate # of periods, including partial period */ ndays = DaysBetweenDates360(mom, dam, yrm, mop, dap, yrp); if (ndays < 0) { if (ndays!=GM_ARGVAL&&ndays!=GM_OVERFLOW) _MacErr(GM_ARGVAL); _MacRet(GM_NULL); } /* calculate number of interest payments remaining */ (void) ConvLongToDecimal(temp, (long)ppy * (long) ndays); (void) ConvLongToDecimal(temp2, 360L); (void) _DivDec80Bit(nper, temp, temp2); (void) _TruncateDec80Bit(temp, nper, 0); npay=temp->dc.sl[0]+1; /* int number of interest payments */ (void) _SubDec80Bit(dsc, nper, temp); /* days purchase - next int */ (void) _SubDec80Bit(dcs, &decOne, dsc); /* days last int - purchass */ if (_MacIsDecZ(dsc)) _MacDZero(dcs); /* calculate coupon rate per period */ (void) ConvLongToDecimal(temp2, (long)ppy); (void) _DivDec80Bit(pmt, coupon, temp2); /* calculate yield per period */ _MacDCopy( nyield, yield ); nyield->dc.id += 2; _AddDec80Bit( nyield, nyield, &decOne ); _LnDec80Bit( nyield, nyield); _DivDec80Bit( nyield, nyield, temp2 ); _ExpDec80Bit( nyield, nyield ); _SubDec80Bit( nyield, nyield, &decOne ); if (CompareDecimal(nper, &decOne)<=0) { /* < 1 period to maturity */ (void) _AddDec80Bit(temp, &decHundred, pmt); (void) _MulDec80Bit(temp2, dsc, nyield); (void) _AddDec80Bit(temp2, temp2, &decOne); (void) _DivDec80Bit(price, temp, temp2); } else { /* > 1 period to maturity */ (void) _AddDec80Bit(opi, nyield, &decOne); (void) _IntPwrDec80Bit(opinm1, opi, -(npay-1)); (void) _MulDec80Bit(fvopi, &decHundred, opinm1); if (_MacIsDecZ(nyield)) ConvLongToDecimal(temp, (long) npay); else { (void) _SubDec80Bit(temp, opi, opinm1); (void) _DivDec80Bit(temp, temp, nyield); } (void) _MulDec80Bit(temp, temp, pmt); (void) _AddDec80Bit(temp, temp, fvopi); _MacDChgs(dsc); (void) PowerDecimal(temp2, opi, dsc); (void) _MulDec80Bit(price, temp, temp2); } (void) _MulDec80Bit(acc, pmt, dcs); (void) _Sq5UnsTo4Uns(acc); if (_MacIsDecZ(dsc)) (void) _SubDec80Bit(price, price, pmt); else (void) _SubDec80Bit(price, price, acc); (void) _Sq5UnsTo4Uns(price); _MacRet(price); }