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What is the excel formula to calculate a mortgage payment? also is there a
formula which can solve the amount of principal paid in a defined period? for example, if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments and also what is the principal balance due after 5 yrs. (60 mos.) of payments? thanks |
#2
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"kacky" wrote in message
... if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments Assuming a typical annuity loan with payment in arrears: =round(pmt(6.5%/12, 30*12, -100000),2) If that formula is in A1, the yearly payment is simply: =12*A1 assuming 12 payments in the year. Note: That also assumes that interest is not compounded mid-year. Loans in most countries are that way, notably US loans. But Canada loans sometimes (always, Fred?) compound interest semi-annually. If you need a formula for such Canadian loans, post an update. and also what is the principal balance due after 5 yrs. (60 mos.) of payments? If the monthly payment is computed in A1, then: =fv(6.5%/12, 5*12, A1, -100000) Format with a number format and 2 decimal places. Note that the underlying value will not be rounded (unless you set the calculation "Precision as displayed"; not recommended). Caveat: The payment should be rounded, not simply formatted to 2 decimal places. But by doing so, the last payment is usually different. The last payment can be computed by: =round(fv(6.5%/12, 30*12-1, A1, -100000) * (1 + 6.5%/12),2) The FV() expression computes the principal balance after 360 minus 1 payments. The (1+6.5%/12) add the interest for the last month. ----- original message ----- "kacky" wrote in message ... What is the excel formula to calculate a mortgage payment? also is there a formula which can solve the amount of principal paid in a defined period? for example, if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments and also what is the principal balance due after 5 yrs. (60 mos.) of payments? thanks |
#3
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Canadian banks are required to quote the interested as if it was semi-annual
(ie if they quote 6% then it is 3% semi-annually) BUT they compute the interest on a month basis. Very odd, eh? best wishes -- Bernard V Liengme Microsoft Excel MVP http://people.stfx.ca/bliengme remove caps from email "JoeU2004" wrote in message ... "kacky" wrote in message ... if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments Assuming a typical annuity loan with payment in arrears: =round(pmt(6.5%/12, 30*12, -100000),2) If that formula is in A1, the yearly payment is simply: =12*A1 assuming 12 payments in the year. Note: That also assumes that interest is not compounded mid-year. Loans in most countries are that way, notably US loans. But Canada loans sometimes (always, Fred?) compound interest semi-annually. If you need a formula for such Canadian loans, post an update. and also what is the principal balance due after 5 yrs. (60 mos.) of payments? If the monthly payment is computed in A1, then: =fv(6.5%/12, 5*12, A1, -100000) Format with a number format and 2 decimal places. Note that the underlying value will not be rounded (unless you set the calculation "Precision as displayed"; not recommended). Caveat: The payment should be rounded, not simply formatted to 2 decimal places. But by doing so, the last payment is usually different. The last payment can be computed by: =round(fv(6.5%/12, 30*12-1, A1, -100000) * (1 + 6.5%/12),2) The FV() expression computes the principal balance after 360 minus 1 payments. The (1+6.5%/12) add the interest for the last month. ----- original message ----- "kacky" wrote in message ... What is the excel formula to calculate a mortgage payment? also is there a formula which can solve the amount of principal paid in a defined period? for example, if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments and also what is the principal balance due after 5 yrs. (60 mos.) of payments? thanks |
#4
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![]() "JoeU2004" wrote: "kacky" wrote in message ... if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments Assuming a typical annuity loan with payment in arrears: =round(pmt(6.5%/12, 30*12, -100000),2) If that formula is in A1, the yearly payment is simply: =12*A1 assuming 12 payments in the year. Note: That also assumes that interest is not compounded mid-year. Loans in most countries are that way, notably US loans. But Canada loans sometimes (always, Fred?) compound interest semi-annually. If you need a formula for such Canadian loans, post an update. and also what is the principal balance due after 5 yrs. (60 mos.) of payments? If the monthly payment is computed in A1, then: =fv(6.5%/12, 5*12, A1, -100000) Format with a number format and 2 decimal places. Note that the underlying value will not be rounded (unless you set the calculation "Precision as displayed"; not recommended). Caveat: The payment should be rounded, not simply formatted to 2 decimal places. But by doing so, the last payment is usually different. The last payment can be computed by: =round(fv(6.5%/12, 30*12-1, A1, -100000) * (1 + 6.5%/12),2) The FV() expression computes the principal balance after 360 minus 1 payments. The (1+6.5%/12) add the interest for the last month. ----- original message ----- "kacky" wrote in message ... What is the excel formula to calculate a mortgage payment? also is there a formula which can solve the amount of principal paid in a defined period? for example, if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments and also what is the principal balance due after 5 yrs. (60 mos.) of payments? thanks |
#5
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What is the excel formula to calculate a mortgage payment? also is
there a formula which can solve the amount of principal paid in a defined period? for example, if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments and also what is the principal balance due after 5 yrs. (60 mos.) of payments? There are fully worked-out templates already available for this. Look at http://office.microsoft.com/en-us/te...s/default.aspx and search for "mortgage." |
#6
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"Bernard Liengme" wrote:
Canadian banks are required to quote the interested as if it was semi-annual (ie if they quote 6% then it is 3% semi-annually) BUT they compute the interest on a month basis. Very odd, eh? Of course they compute interest on a monthly basis. The issue is: what is the monthly rate? And the answer to that question impacts the monthly payment, total interest and loan reduction computations. The following is according to http://support.microsoft.com/kb/294396/en-us . It jibes with online Canadian calculators that I have tried. According to the KB, Canadian law "permits a compounding frequency of 2". The monthly rate is computed by RATE(6,0,-1,1+6%/2), or if you prefer: (1+6%/2)^(1/6)-1. That results in a lower monthly rate, payment and total interest than the nominal rate, 6%/12, which is used in the US. Aside.... I don't know how much to read into the word "permits". Also, I quibble with the terminology above. FYI, according to the KB, UK loan rates are considered to be "effective" annual rates. The monthly rate is computed by RATE(12,0,-1,1+6%), or if you prefer: (1+6%)^(1/12)-1. That results in a lower monthly rate, payment and total interest than the Canadian method. I have not been able to vet the KB's method for UK loans. On the contrary, I believe I have seen online UK loan calculators that use the US method. Also, I believe I found one UK loan calculator that computed the monthly payment, for a 25-year 100,000 loan for example, by PMT(6%,25,-100000)/12, resulting in a monthly rate of RATE(25*12,pmt,-100000). That results in a higher monthly rate, payment and total interest than the US method. Caveat emptor: I might remember the 2nd UK methodology incorrectly; and even if I remember it correctly, the original source might be incorrect. For alternative methods in these and other countries, I would appreciate pointers to online sources for my edification. Thanks. ----- original message ----- "Bernard Liengme" wrote in message ... Canadian banks are required to quote the interested as if it was semi-annual (ie if they quote 6% then it is 3% semi-annually) BUT they compute the interest on a month basis. Very odd, eh? best wishes -- Bernard V Liengme Microsoft Excel MVP http://people.stfx.ca/bliengme remove caps from email "JoeU2004" wrote in message ... "kacky" wrote in message ... if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments Assuming a typical annuity loan with payment in arrears: =round(pmt(6.5%/12, 30*12, -100000),2) If that formula is in A1, the yearly payment is simply: =12*A1 assuming 12 payments in the year. Note: That also assumes that interest is not compounded mid-year. Loans in most countries are that way, notably US loans. But Canada loans sometimes (always, Fred?) compound interest semi-annually. If you need a formula for such Canadian loans, post an update. and also what is the principal balance due after 5 yrs. (60 mos.) of payments? If the monthly payment is computed in A1, then: =fv(6.5%/12, 5*12, A1, -100000) Format with a number format and 2 decimal places. Note that the underlying value will not be rounded (unless you set the calculation "Precision as displayed"; not recommended). Caveat: The payment should be rounded, not simply formatted to 2 decimal places. But by doing so, the last payment is usually different. The last payment can be computed by: =round(fv(6.5%/12, 30*12-1, A1, -100000) * (1 + 6.5%/12),2) The FV() expression computes the principal balance after 360 minus 1 payments. The (1+6.5%/12) add the interest for the last month. ----- original message ----- "kacky" wrote in message ... What is the excel formula to calculate a mortgage payment? also is there a formula which can solve the amount of principal paid in a defined period? for example, if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments and also what is the principal balance due after 5 yrs. (60 mos.) of payments? thanks |
#7
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Errata....
I wrote: Assuming a typical annuity loan with payment in arrears: =round(pmt(6.5%/12, 30*12, -100000),2) Although I believe that is, indeed, how many/most people compute the payment if they even think to round it (most don't), I prefer to use ROUNDUP. That ensures that the last payment is no more than the usual monthly payment, which might justify the failure of most lenders to disclose it. Nonetheless, I cannot say with impunity which method of rounding, if any, is "typical". ----- original message ----- "JoeU2004" wrote in message ... "kacky" wrote in message ... if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments Assuming a typical annuity loan with payment in arrears: =round(pmt(6.5%/12, 30*12, -100000),2) If that formula is in A1, the yearly payment is simply: =12*A1 assuming 12 payments in the year. Note: That also assumes that interest is not compounded mid-year. Loans in most countries are that way, notably US loans. But Canada loans sometimes (always, Fred?) compound interest semi-annually. If you need a formula for such Canadian loans, post an update. and also what is the principal balance due after 5 yrs. (60 mos.) of payments? If the monthly payment is computed in A1, then: =fv(6.5%/12, 5*12, A1, -100000) Format with a number format and 2 decimal places. Note that the underlying value will not be rounded (unless you set the calculation "Precision as displayed"; not recommended). Caveat: The payment should be rounded, not simply formatted to 2 decimal places. But by doing so, the last payment is usually different. The last payment can be computed by: =round(fv(6.5%/12, 30*12-1, A1, -100000) * (1 + 6.5%/12),2) The FV() expression computes the principal balance after 360 minus 1 payments. The (1+6.5%/12) add the interest for the last month. ----- original message ----- "kacky" wrote in message ... What is the excel formula to calculate a mortgage payment? also is there a formula which can solve the amount of principal paid in a defined period? for example, if I am borrowing $100,000 for 30 yrs. @ 6.5% interest what are the monthly or yearly payments and also what is the principal balance due after 5 yrs. (60 mos.) of payments? thanks |
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