等额本金与等额本息还款法计算表破解版
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一张图看懂等额本金和等额本息!黄炎山2018-03-26 10:44:06一句话来概括两种方式的内容和区别就是:等额本金:本金保持相同,利息逐月递减,月还款数递减;等额本息:本金逐月递增,利息逐月递减,月还款数不变。
我们先来讲下等额本息和等额本金的概念。
等额本金就是每月还款的本金一样,即借款人每月按相等的金额(贷款金额/贷款月数)偿还贷款本金,每月贷款利息按月初剩余贷款本金计算并逐月结清,两者合计即为每月的还款额。
等额本息每月还款额一样,即每月本金与利息之和不变,但本金与利息比例是变化的。
比方说等额本息每月还款1000元,第一月还款的1000元中本金是230,利息是770元;由于第一月还了230本金,利息相应减少,而每月还款额一样,所以本金比例增加。
则第二月的1000元中本金是231,利息是769元。
直至最后一月还款的1000元本金是996,利息是4元。
一区别01在贷款期限、金额和利率都相同的条件下,还款初期,等额本金还款方式每月归还的金额要大于等额本息。
但按照还款总额计算,等额本金还款方式的还款总额更低。
02有一定经济基础从而能承受前期较大还款压力适合等额本金还款方式,且提前要作出还款计划。
经济条件不允许、收入处于较稳定状态的借款人适合等额本息还款方式,每月归还相同的款项,这样更方便安排收支。
还款计算公式等额本金计算公式:1.每月还款额=每月还款本金+每月还款利息;2.每月还款本金=贷款总额/贷款月数;3.每月还款利息=贷款本金余额*贷款月利率(贷款月利率=年利率/12);4.贷款本金余额=贷款总额-已还款月数*每月还款本金。
举个例子:比如贷款100万;贷款30年;当前利率4.9%计算:每月还款本金=1000000/360=2777.78元;第一个月还利息=1000000*4.9%/12=4083.33元;第一个月还款总额=2777.78+4083.33=6861.11元第二个月还利息减少:2777.78*4.9%/12=11.34元第二个月还款总额=6861.11-11.34=6849.77元;以后每月递减11.34元。
详细说明等额本金和等额本息的计算方式与利弊(吐血推荐)!(转)关于利率表请查看以下的帖子,这里只给举出例子,相信大家看后都可以自己计算了。
注:1.贷款年限5年以上的年利率一律为5.4%。
2.月利率等额本金与等额本息的都一样为0.0042。
3.以贷款20万20年为例。
一、等额本金贷款利率计算1.20年应付利息:200000(元~贷款额)*5.04%(年利率)*20(年限)=201600(元)2.20年应付本息总计:200000(元~贷款额)+201600(元)=401600(元)3.首月还款:401600(元)÷240(月~期数)=1673.333(元)注:月还款额至此依次递减,绝对不会再超过这个数目。
4.首月利息:200000(元~贷款额)*0.0042(月利率)=840(元)5.首月本金:1673.333(元)-840(元)=833.333(元)注:一直到偿还全部贷款,每月本金保持833.333元不变,这也就是等额本金的命名来源。
6.第二月利息:200000(元~贷款额)-833.333(元)=199166.667(元)(贷款额减去已还本金)199166.667*0.0042(月利率)=836.500(元)7.第二月还款:833.333(元~本金)+836.500(元)=1669.833(元)8.第三月利息:199166.667(元~剩余贷款额)-833.333(元)=198333.334(元)198333.334(元)*0.0042(月利率)=833.000(元)9.第三月还款:833.333(元~本金)+833.000=1666.333(元)10.依次类推。
注:请注意每月还款额依次递减3.5元,和等额本息相比等额本金仍然是在先还利息,只不过在每月还款中利息与本金的比例降低了。
换句话说就是让你每月多还些本金且固定本金数额,这样逐月所付利息相应减少,这也就是等额本金还贷的前期压力较大的原因。
【等额本息还款法】:一、月还款计算:计算公式:月还款=月还款系数*贷款金额的万元倍数(注意贷款的年数与系数相对应)二、总利息的计算:计算公式:总利息=月还款额*总期数-总贷款额【等额本金还款法】:一、月还款计算:计算公式:月还款=月供本金+月利息月供本金=贷款总额/总期数月利息=贷款余额*月利率即:月利息=(贷款总额-已还本金)*月利率推算:第一期:已还本金=0第二期:已还本金=月供本金*1第三期:已还本金=月供本金*2……第n期:已还本金=月供本金*(n-1) (备注:n为当前还款期数)那么:已还本金=月供本金×(n-1)月利息=[贷款总额-月供本金×(n-1)]*月利率月还款=月供本金+[贷款总额-月供本金×(n-1)]×贷款月利率即:月还款=贷款总额/贷款总期数+[贷款总额-贷款总额/贷款总期数×(n-1)]×贷款月利率二、总利息的计算:月利息=[贷款总额-月供本金×(n-1)]×贷款月利率第一期:月利息=(贷款总额-0)×贷款月利率已还本金=0第二期:月利息=(贷款总额-月供本金×1)×贷款月利率已还本金=月供本金*1第三期:月利息=(贷款总额-月供本金×2)×贷款月利率已还本金=月供本金*2……第n期:月利息=[贷款总额-月供本金×(n-1)]×贷款月利率已还本金=月供本金*(n-1)把n期的月利息加起来,即是客户总共所需支付的总利息。
即:总利息= (贷款总额-0)×贷款月利率+(贷款总额-月供本金×1)×贷款月利率+(贷款总额-月供本金×2)×贷款月利率+ …..[贷款总额-月供本金×(n-1)]×贷款月利率即:总利息={贷款总额×n-月供本金×[n×(n-1)/2] }×贷款月利率等额本息还款方式指的是你每个月向银行还一样多的钱, (包括本金和利息),这样由于每月的还款额固定,可以有计划地控制家庭收入的支出,也便于每个家庭根据自己的收入情况,确定还贷能力。
等额本金算法公式表等额本金是一种常见的贷款还款方式,它与等额本息方式相比,更加合理和节省利息支出。
当借款人选择等额本金方式还款时,每个月的还款金额是固定的,但每个月所还的本金金额逐渐减少,利息部分逐渐减少。
下面将介绍等额本金的计算公式及相关参考内容。
等额本金的计算公式如下:每月应还本金 = 贷款金额 / 还款期数每月应还利息 = 剩余本金 ×月利率每月应还金额 = 每月应还本金 + 每月应还利息其中,贷款金额是指借款人实际贷款的金额,还款期数是指借款人选择的贷款还款期限,月利率是指借款人所处的贷款利率除以12(表示月利率)。
等额本金的计算方法使得每个月的还款额固定,但是利息逐渐减少,因此总利息支出也会相应减少。
这是因为每个月所偿还的本金都是一样的,如果每个月偿还的本金都固定,那么由于剩余本金逐渐减少,所需偿还的利息也会逐渐减少。
这种方式有效减少了贷款利息的支出。
除了上述等额本金的计算公式之外,借款人在选择等额本金方式还款时,还需要注意以下几点:1. 需要提前计算好每个月的还款金额,并确保每个月按时还款。
借款人可以使用等额本金计算器或者电子表格软件来预先计算还款计划表。
2. 贷款金额和还款期数会影响每月的还款金额和总利息支出。
借款人可以根据自己的经济状况和财务能力选择合适的还款期限,以平衡还款压力和总利息支出。
3. 对于一些特殊情况,可以提前还款或者逾期还款。
提前还款可以减少总利息支出,但需要注意是否存在提前还款费用。
逾期还款会导致罚息和逾期费用的产生,影响个人信用记录,应尽量避免。
通过等额本金的计算公式和相关注意事项,希望能够帮助借款人更好地了解和使用等额本金还款方式。
这种方式可以有效减少利息支出,提前还清贷款,并更加合理地规划个人财务。
分期偿还贷款分析表-等额本息利率 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贷款总额1140000年利率 5.25%月利率0.44%贷款月数360利息总额900243.75首月还款额8154.17首月应付利息4987.50首月应付本金3166.67第01月第02月第03月第04月第05月每月应付利息4987.504973.654959.794945.944932.08每月应付本金3166.673166.673166.673166.673166.67每月还款额8154.178140.318126.468112.608098.75累计已付本金3166.676333.339500.0012666.6715833.33第13月第14月第15月第16月第17月每月应付利息4821.254807.404793.544779.694765.83每月应付本金3166.673166.673166.673166.673166.67每月还款额7987.927974.067960.217946.357932.50累计已付本金41166.6744333.3347500.0050666.6753833.33第25月第26月第27月第28月第29月每月应付利息4655.004641.154627.294613.444599.58每月应付本金3166.673166.673166.673166.673166.67每月还款额7821.677807.817793.967780.107766.25累计已付本金79166.6782333.3385500.0088666.6791833.33第37月第38月第39月第40月第41月每月应付利息4488.754474.904461.044447.194433.33每月应付本金3166.673166.673166.673166.673166.67每月还款额7655.427641.567627.717613.857600.00累计已付本金117166.67120333.33123500.00126666.67129833.33第49月第50月第51月第52月第53月每月应付利息4322.504308.654294.794280.944267.08每月应付本金3166.673166.673166.673166.673166.67每月还款额7489.177475.317461.467447.607433.75累计已付本金155166.67158333.33161500.00164666.67167833.33第61月第62月第63月第64月第65月每月应付利息4156.254142.404128.544114.694100.83每月应付本金3166.673166.673166.673166.673166.67每月还款额7322.927309.067295.217281.357267.50累计已付本金193166.67196333.33199500.00202666.67205833.33第73月第74月第75月第76月第77月每月应付利息3990.003976.153962.293948.443934.58每月应付本金3166.673166.673166.673166.673166.67每月还款额7156.677142.817128.967115.107101.25累计已付本金231166.67234333.33237500.00240666.67243833.33第85月第86月第87月第88月第89月每月应付利息3823.753809.903796.043782.193768.33每月应付本金3166.673166.673166.673166.673166.67每月还款额6990.426976.566962.716948.856935.00累计已付本金269166.67272333.33275500.00278666.67281833.33第97月第98月第99月第100月第101月每月应付利息3657.503643.653629.793615.943602.08每月应付本金3166.673166.673166.673166.673166.67每月还款额6824.176810.316796.466782.606768.75累计已付本金307166.67310333.33313500.00316666.67319833.33第109月第110月第111月第112月第113月每月应付利息3491.253477.403463.543449.693435.83每月应付本金3166.673166.673166.673166.673166.67每月还款额6657.926644.066630.216616.356602.50等额本金第01年第02年第03年第04年第05年第06年第07年第08年第09年第10年累计已付本金345166.67348333.33351500.00354666.67357833.33第121月第122月第123月第124月第125月每月应付利息3325.003311.153297.293283.443269.58每月应付本金3166.673166.673166.673166.673166.67每月还款额6491.676477.816463.966450.106436.25累计已付本金383166.67386333.33389500.00392666.67395833.33第133月第134月第135月第136月第137月每月应付利息3158.753144.903131.043117.193103.33每月应付本金3166.673166.673166.673166.673166.67每月还款额6325.426311.566297.716283.856270.00累计已付本金421166.67424333.33427500.00430666.67433833.33第145月第146月第147月第148月第149月每月应付利息2992.502978.652964.792950.942937.08每月应付本金3166.673166.673166.673166.673166.67每月还款额6159.176145.316131.466117.606103.75累计已付本金459166.67462333.33465500.00468666.67471833.33第157月第158月第159月第160月第161月每月应付利息2826.252812.402798.542784.692770.83每月应付本金3166.673166.673166.673166.673166.67每月还款额5992.925979.065965.215951.355937.50累计已付本金497166.67500333.33503500.00506666.67509833.33第169月第170月第171月第172月第173月每月应付利息2660.002646.152632.292618.442604.58每月应付本金3166.673166.673166.673166.673166.67每月还款额5826.675812.815798.965785.105771.25累计已付本金535166.67538333.33541500.00544666.67547833.33第181月第182月第183月第184月第185月每月应付利息2493.752479.902466.042452.192438.33每月应付本金3166.673166.673166.673166.673166.67每月还款额5660.425646.565632.715618.855605.00累计已付本金573166.67576333.33579500.00582666.67585833.33第193月第194月第195月第196月第197月每月应付利息2327.502313.652299.792285.942272.08每月应付本金3166.673166.673166.673166.673166.67每月还款额5494.175480.315466.465452.605438.75累计已付本金611166.67614333.33617500.00620666.67623833.33第205月第206月第207月第208月第209月每月应付利息2161.252147.402133.542119.692105.83每月应付本金3166.673166.673166.673166.673166.67每月还款额5327.925314.065300.215286.355272.50累计已付本金649166.67652333.33655500.00658666.67661833.33第217月第218月第219月第220月第221月每月应付利息1995.001981.151967.291953.441939.58每月应付本金3166.673166.673166.673166.673166.67每月还款额5161.675147.815133.965120.105106.25累计已付本金687166.67690333.33693500.00696666.67699833.33第229月第230月第231月第232月第233月每月应付利息1828.751814.901801.041787.191773.33每月应付本金3166.673166.673166.673166.673166.67每月还款额4995.424981.564967.714953.854940.00累计已付本金725166.67728333.33731500.00734666.67737833.33第241月第242月第243月第244月第245月每月应付利息1662.501648.651634.791620.941607.08每月应付本金3166.673166.673166.673166.673166.67每月还款额4829.174815.314801.464787.604773.75累计已付本金763166.67766333.33769500.00772666.67775833.33第253月第254月第255月第256月第257月每月应付利息1496.251482.401468.541454.691440.83第11年第12年第13年第14年第15年第16年第17年第18年第19年第20年第21年第22年每月应付本金3166.673166.673166.673166.673166.67每月还款额4662.924649.064635.214621.354607.50累计已付本金801166.67804333.33807500.00810666.67813833.33第265月第266月第267月第268月第269月每月应付利息1330.001316.151302.291288.441274.58每月应付本金3166.673166.673166.673166.673166.67每月还款额4496.674482.814468.964455.104441.25累计已付本金839166.67842333.33845500.00848666.67851833.33第277月第278月第279月第280月第281月每月应付利息1163.751149.901136.041122.191108.33每月应付本金3166.673166.673166.673166.673166.67每月还款额4330.424316.564302.714288.854275.00累计已付本金877166.67880333.33883500.00886666.67889833.33第289月第290月第291月第292月第293月每月应付利息997.50983.65969.79955.94942.08每月应付本金3166.673166.673166.673166.673166.67每月还款额4164.174150.314136.464122.604108.75累计已付本金915166.67918333.33921500.00924666.67927833.33第301月第302月第303月第304月第305月每月应付利息831.25817.40803.54789.69775.83每月应付本金3166.673166.673166.673166.673166.67每月还款额3997.923984.063970.213956.353942.50累计已付本金953166.67956333.33959500.00962666.67965833.33第313月第314月第315月第316月第317月每月应付利息665.00651.15637.29623.44609.58每月应付本金3166.673166.673166.673166.673166.67每月还款额3831.673817.813803.963790.103776.25累计已付本金991166.67994333.33997500.001000666.671003833.33第325月第326月第327月第328月第329月每月应付利息498.75484.90471.04457.19443.33每月应付本金3166.673166.673166.673166.673166.67每月还款额3665.423651.563637.713623.853610.00累计已付本金1029166.671032333.331035500.001038666.671041833.33第337月第338月第339月第340月第341月每月应付利息332.50318.65304.79290.94277.08每月应付本金3166.673166.673166.673166.673166.67每月还款额3499.173485.313471.463457.603443.75累计已付本金1067166.671070333.331073500.001076666.671079833.33第349月第350月第351月第352月第353月每月应付利息166.25152.40138.54124.69110.83每月应付本金3166.673166.673166.673166.673166.67每月还款额3332.923319.063305.213291.353277.50累计已付本金1105166.671108333.331111500.001114666.671117833.33第23年第22年第30年第24年第25年第26年第27年第28年第29年第06月第07月第08月第09月第10月第11月第12月4918.234904.384890.524876.674862.814848.964835.10 3166.673166.673166.673166.673166.673166.673166.67 8084.908071.048057.198043.338029.488015.638001.77 19000.0022166.6725333.3328500.0031666.6734833.3338000.00第18月第19月第20月第21月第22月第23月第24月4751.984738.134724.274710.424696.564682.714668.85 3166.673166.673166.673166.673166.673166.673166.67 7918.657904.797890.947877.087863.237849.387835.52 57000.0060166.6763333.3366500.0069666.6772833.3376000.00第30月第31月第32月第33月第34月第35月第36月4585.734571.884558.024544.174530.314516.464502.60 3166.673166.673166.673166.673166.673166.673166.67 7752.407738.547724.697710.837696.987683.137669.27 95000.0098166.67101333.33104500.00107666.67110833.33114000.00第42月第43月第44月第45月第46月第47月第48月4419.484405.634391.774377.924364.064350.214336.35 3166.673166.673166.673166.673166.673166.673166.67 7586.157572.297558.447544.587530.737516.887503.02 133000.00136166.67139333.33142500.00145666.67148833.33152000.00第54月第55月第56月第57月第58月第59月第60月4253.234239.384225.524211.674197.814183.964170.10 3166.673166.673166.673166.673166.673166.673166.67 7419.907406.047392.197378.337364.487350.637336.77 171000.00174166.67177333.33180500.00183666.67186833.33190000.00第66月第67月第68月第69月第70月第71月第72月4086.984073.134059.274045.424031.564017.714003.85 3166.673166.673166.673166.673166.673166.673166.67 7253.657239.797225.947212.087198.237184.387170.52 209000.00212166.67215333.33218500.00221666.67224833.33228000.00第78月第79月第80月第81月第82月第83月第84月3920.733906.883893.023879.173865.313851.463837.60 3166.673166.673166.673166.673166.673166.673166.67 7087.407073.547059.697045.837031.987018.137004.27 247000.00250166.67253333.33256500.00259666.67262833.33266000.00第90月第91月第92月第93月第94月第95月第96月3754.483740.633726.773712.923699.063685.213671.35 3166.673166.673166.673166.673166.673166.673166.67 6921.156907.296893.446879.586865.736851.886838.02 285000.00288166.67291333.33294500.00297666.67300833.33304000.00第102月第103月第104月第105月第106月第107月第108月3588.233574.383560.523546.673532.813518.963505.10 3166.673166.673166.673166.673166.673166.673166.67 6754.906741.046727.196713.336699.486685.636671.77 323000.00326166.67329333.33332500.00335666.67338833.33342000.00第114月第115月第116月第117月第118月第119月第120月3421.983408.133394.273380.423366.563352.713338.85 3166.673166.673166.673166.673166.673166.673166.67 6588.656574.796560.946547.086533.236519.386505.52361000.00364166.67367333.33370500.00373666.67376833.33380000.00第126月第127月第128月第129月第130月第131月第132月3255.733241.883228.023214.173200.313186.463172.60 3166.673166.673166.673166.673166.673166.673166.67 6422.406408.546394.696380.836366.986353.136339.27 399000.00402166.67405333.33408500.00411666.67414833.33418000.00第138月第139月第140月第141月第142月第143月第144月3089.483075.633061.773047.923034.063020.213006.35 3166.673166.673166.673166.673166.673166.673166.67 6256.156242.296228.446214.586200.736186.886173.02 437000.00440166.67443333.33446500.00449666.67452833.33456000.00第150月第151月第152月第153月第154月第155月第156月2923.232909.382895.522881.672867.812853.962840.10 3166.673166.673166.673166.673166.673166.673166.67 6089.906076.046062.196048.336034.486020.626006.77 475000.00478166.67481333.33484500.00487666.67490833.33494000.00第162月第163月第164月第165月第166月第167月第168月2756.982743.122729.272715.422701.562687.712673.85 3166.673166.673166.673166.673166.673166.673166.67 5923.655909.795895.945882.085868.235854.375840.52 513000.00516166.67519333.33522500.00525666.67528833.33532000.00第174月第175月第176月第177月第178月第179月第180月2590.732576.882563.022549.172535.312521.462507.60 3166.673166.673166.673166.673166.673166.673166.67 5757.405743.545729.695715.835701.985688.135674.27 551000.00554166.67557333.33560500.00563666.67566833.33570000.00第186月第187月第188月第189月第190月第191月第192月2424.482410.632396.772382.922369.062355.212341.35 3166.673166.673166.673166.673166.673166.673166.67 5591.155577.295563.445549.585535.735521.885508.02 589000.00592166.67595333.33598500.00601666.67604833.33608000.00第198月第199月第200月第201月第202月第203月第204月2258.232244.382230.522216.672202.812188.962175.10 3166.673166.673166.673166.673166.673166.673166.67 5424.905411.045397.195383.335369.485355.635341.77 627000.00630166.67633333.33636500.00639666.67642833.33646000.00第210月第211月第212月第213月第214月第215月第216月2091.982078.132064.272050.422036.562022.712008.85 3166.673166.673166.673166.673166.673166.673166.67 5258.655244.795230.945217.085203.235189.385175.52 665000.00668166.67671333.33674500.00677666.67680833.33684000.00第222月第223月第224月第225月第226月第227月第228月1925.731911.881898.021884.171870.311856.461842.60 3166.673166.673166.673166.673166.673166.673166.67 5092.405078.545064.695050.835036.985023.135009.27 703000.00706166.67709333.33712500.00715666.67718833.33722000.00第234月第235月第236月第237月第238月第239月第240月1759.481745.631731.771717.921704.061690.211676.35 3166.673166.673166.673166.673166.673166.673166.67 4926.154912.294898.444884.584870.734856.884843.02 741000.00744166.67747333.33750500.00753666.67756833.33760000.00第246月第247月第248月第249月第250月第251月第252月1593.231579.381565.521551.671537.811523.961510.10 3166.673166.673166.673166.673166.673166.673166.67 4759.904746.044732.194718.334704.484690.634676.77 779000.00782166.67785333.33788500.00791666.67794833.33798000.00第258月第259月第260月第261月第262月第263月第264月1426.981413.131399.271385.421371.561357.711343.853166.673166.673166.673166.673166.673166.673166.67 4593.654579.794565.944552.084538.234524.384510.52 817000.00820166.67823333.33826500.00829666.67832833.33836000.00第270月第271月第272月第273月第274月第275月第276月1260.731246.881233.021219.171205.311191.461177.60 3166.673166.673166.673166.673166.673166.673166.67 4427.404413.544399.694385.834371.984358.134344.27 855000.00858166.67861333.33864500.00867666.67870833.33874000.00第282月第283月第284月第285月第286月第287月第288月1094.481080.631066.771052.921039.061025.211011.35 3166.673166.673166.673166.673166.673166.673166.67 4261.154247.294233.444219.584205.734191.884178.02 893000.00896166.67899333.33902500.00905666.67908833.33912000.00第294月第295月第296月第297月第298月第299月第300月928.23914.38900.52886.67872.81858.96845.10 3166.673166.673166.673166.673166.673166.673166.67 4094.904081.044067.194053.334039.484025.634011.77 931000.00934166.67937333.33940500.00943666.67946833.33950000.00第306月第307月第308月第309月第310月第311月第312月761.98748.13734.27720.42706.56692.71678.85 3166.673166.673166.673166.673166.673166.673166.67 3928.653914.793900.943887.083873.233859.383845.52 969000.00972166.67975333.33978500.00981666.67984833.33988000.00第318月第319月第320月第321月第322月第323月第324月595.73581.88568.02554.17540.31526.46512.60 3166.673166.673166.673166.673166.673166.673166.67 3762.403748.543734.693720.833706.983693.133679.27 1007000.001010166.671013333.331016500.001019666.671022833.331026000.00第330月第331月第332月第333月第334月第335月第336月429.48415.63401.77387.92374.06360.21346.35 3166.673166.673166.673166.673166.673166.673166.67 3596.153582.293568.443554.583540.733526.883513.02 1045000.001048166.671051333.331054500.001057666.671060833.331064000.00第342月第343月第344月第345月第346月第347月第348月263.23249.38235.52221.67207.81193.96180.10 3166.673166.673166.673166.673166.673166.673166.67 3429.903416.043402.193388.333374.483360.633346.77 1083000.001086166.671089333.331092500.001095666.671098833.331102000.00第354月第355月第356月第357月第358月第359月第360月96.9883.1369.2755.4241.5627.7113.853166.673166.673166.673166.673166.673166.673166.67 3263.653249.793235.943222.083208.233194.383180.52 1121000.001124166.671127333.331130500.001133666.671136833.331140000.00。
等额本息法和等额本金法的两种计算公式一:按等额本金还款法:贷款额为:a,月利率为:i,年利率为:I,还款月数:n,an第n个月贷款剩余本金:a1=a, a2=a-a/n, a3=a-2*a/n ...次类推还款利息总和为Y每月应还本金:a/n每月应还利息:an*i每期还款a/n +an*i支付利息Y=(n+1)*a*i/2还款总额=(n+1)*a*i/2+a等额本金法的计算等额本金(递减法):计算公式:每月本金=贷款额÷期数第一个月的月供=每月本金+贷款额×月利率第二个月的月供=每月本金+(贷款额-已还本金)×月利率申请贷10万10年个人住房商业性贷款,试计算每月的月供款额?(月利率:4.7925‰)计算结果:每月本金:100000÷120=833元第一个月的月供:833+100000×4.7925‰=1312.3元第二个月的月供:833+(100000-833)×4.7925‰=1308.3元如此类推……二:按等额本息还款法:设贷款额为a,月利率为i,年利率为I,还款月数为n,每月还款额为b,还款利息总和为Y 1:I=12×i2:Y=n×b-a3:第一月还款利息为:a×i第二月还款利息为:〔a-(b-a×i)〕×i=(a×i-b)×(1+i)^1+b第三月还款利息为:{a-(b-a×i)-〔b-(a×i-b)×(1+i)^1-b〕}×i=(a×i-b)×(1+i)^2+b第四月还款利息为:=(a×i-b)×(1+i)^3+b第n月还款利息为:=(a×i-b)×(1+i)^(n-1)+b求以上和为:Y=(a×i-b)×〔(1+i)^n-1〕÷i+n×b4:以上两项Y值相等求得月均还款:b=a×i×(1+i)^n÷〔(1+i)^n-1〕支付利息:Y=n×a×i×(1+i)^n÷〔(1+i)^n-1〕-a还款总额:n×a×i×(1+i)^n÷〔(1+i)^n-1〕注:a^b表示a的b次方。
等额本息法和等额本金法的两种计算公式一:按等额本金还款法:贷款额为:a,月利率为:i,年利率为:I,还款月数:n,an第n个月贷款剩余本金:a1=a, a2=a-a/n, a3=a-2*a/n ...次类推还款利息总和为Y每月应还本金:a/n每月应还利息:an*i每期还款a/n +an*i支付利息Y=(n+1)*a*i/2还款总额=(n+1)*a*i/2+a等额本金法的计算等额本金(递减法):计算公式:每月本金=贷款额÷期数第一个月的月供=每月本金+贷款额×月利率第二个月的月供=每月本金+(贷款额-已还本金)×月利率申请贷10万10年个人住房商业性贷款,试计算每月的月供款额?(月利率:4.7925‰)计算结果:每月本金:100000÷120=833元第一个月的月供:833+100000×4.7925‰=1312.3元第二个月的月供:833+(100000-833)×4.7925‰=1308.3元如此类推……二:按等额本息还款法:设贷款额为a,月利率为i,年利率为I,还款月数为n,每月还款额为b,还款利息总和为Y 1:I=12×i2:Y=n×b-a3:第一月还款利息为:a×i第二月还款利息为:〔a-(b-a×i)〕×i=(a×i-b)×(1+i)^1+b第三月还款利息为:{a-(b-a×i)-〔b-(a×i-b)×(1+i)^1-b〕}×i=(a×i-b)×(1+i)^2+b第四月还款利息为:=(a×i-b)×(1+i)^3+b第n月还款利息为:=(a×i-b)×(1+i)^(n-1)+b求以上和为:Y=(a×i-b)×〔(1+i)^n-1〕÷i+n×b4:以上两项Y值相等求得月均还款:b=a×i×(1+i)^n÷〔(1+i)^n-1〕支付利息:Y=n×a×i×(1+i)^n÷〔(1+i)^n-1〕-a还款总额:n×a×i×(1+i)^n÷〔(1+i)^n-1〕注:a^b表示a的b次方。