.$QQXDO￿QRPLQDO￿LQWHUHVW￿UDWH￿￿ 6WDUWLQJ￿EDODQFH￿/(QGLQJ￿EDODQFH￿

23D\PHQW￿DPRXQW￿￿URXQGHG￿WR￿WKH￿GLVSOD\￿IRUPDW￿￿ *b 1XPEHU￿RI￿SD\PHQWV￿SHU￿\HDU￿

7KH￿QXPEHUV￿GLVSOD\HG￿IRU￿LQWHUHVW￿￿SULQFLSDO￿￿DQG￿EDODQFH￿DUH￿URXQGHG￿WR￿ WKH￿FXUUHQW￿GLVSOD\￿VHWWLQJ￿￿

To Amortize. 7R￿DPRUWL]H￿D￿VLQJOH￿SD\PHQW￿￿HQWHU￿WKH￿SHULRG￿QXPEHU￿

DQG￿SUHVV￿*￿￿￿7KH￿+3￿￿￿%,,￿GLVSOD\V￿WKH￿DQQXQFLDWRU￿PER￿IROORZHG￿

E\￿WKH￿VWDUWLQJ￿DQG￿HQGLQJ￿SD\PHQWV￿WKDW￿ZLOO￿EH￿DPRUWL]HG￿

3UHVV￿￿￿WR￿VHH￿LQWHUHVW￿￿INT￿￿￿3UHVV￿￿￿DJDLQ￿WR￿VHH￿WKH￿SULQFLSDO￿￿PRIN￿￿ DQG￿DJDLQ￿WR￿VHH￿WKH￿EDODQFH￿￿BAL￿￿￿&RQWLQXH￿SUHVVLQJ￿￿￿WR￿F\FOH￿WKURXJK￿

WKH￿VDPH￿YDOXHV￿DJDLQ￿

7R￿DPRUWL]H￿D￿UDQJH￿RI￿SD\PHQWV￿￿HQWHU￿VWDUWLQJ￿SHULRG￿QXPEHU￿0￿HQGLQJ￿ SHULRG￿QXPEHU￿￿WKHQ￿SUHVV￿*￿￿￿7KH￿+3￿￿￿%,,￿GLVSOD\V￿WKH￿DQQXQFLDWRU￿ PER￿IROORZHG￿E\￿WKH￿VWDUWLQJ￿DQG￿HQGLQJ￿SD\PHQWV￿WKDW￿ZLOO￿EH￿ DPRUWL]HG￿￿7KHQ￿SUHVV￿￿￿UHSHDWHGO\￿WR￿F\FOH￿WKURXJK￿LQWHUHVW￿￿SULQFLSDO￿￿

DQG￿EDODQFH￿

3UHVV￿*￿￿DJDLQ￿WR￿PRYH￿WR￿WKH￿QH[W￿VHW￿RI￿SHULRGV￿￿7KLV￿DXWR￿

LQFUHPHQW￿IHDWXUH￿VDYHV￿\RX￿WKH￿NH\VWURNHV￿RI￿HQWHULQJ￿WKH￿QHZ￿VWDUWLQJ￿ DQG￿HQGLQJ￿SHULRGV￿

,I￿\RX￿VWRUH￿￿UHFDOO￿￿RU￿SHUIRUP￿DQ\￿RWKHU￿FDOFXODWLRQV￿GXULQJ￿ DPRUWL]DWLRQ￿￿SUHVVLQJ￿￿￿ZLOO￿QR￿ORQJHU￿F\FOH￿WKURXJK￿LQWHUHVW￿￿SULQFLSDO￿￿ DQG￿EDODQFH￿￿7R￿UHVXPH￿DPRUWL]DWLRQ￿ZLWK￿WKH￿VDPH￿VHW￿RI￿SHULRGV￿￿SUHVV￿ ￿*￿￿

Example: Amortizing a Range of Payments. &DOFXODWH￿WKH￿ILUVW￿WZR￿ \HDUV￿RI￿WKH￿DQQXDO￿DPRUWL]DWLRQ￿VFKHGXOH￿IRU￿D￿￿￿￿\HDU￿￿￿￿￿￿￿￿￿￿￿

PRUWJDJH￿￿DW￿￿￿￿￿￿￿DQQXDO￿LQWHUHVW￿ZLWK￿PRQWKO\￿SD\PHQWV￿

6HW￿WR￿(QG￿PRGH￿￿3UHVV￿*O￿LI￿BEGIN￿DQQXQFLDWRU￿LV￿GLVSOD\HG￿￿

68 5: Time Value of Money Calculations