D
darag
Guest
hi, i'm not sure if this is the correct place but the last time
credit union loans were discussed, the messages ended up
here. one aspect of the discussions which bothered me was
the fact that despite arguing the pros and cons of borrowing
from the credit union, no-one seemd to be able to say what
the true apr of a credit union loan was. the other night i
sharpend a pencil and tried to waken the few brain cells i've
left which can handle sums and worked out a formula which
might be useful when considering a credit union load.
the formula i came up with is: if r is the credit union loan
interest rate, d is the interest earned on savings and f is the
fraction of loan which must be kept as savings, then the true
apr of the loan is: (1+r-f(1+d))/(1-f) - 1
so for example if you are told your loan will be charged at
9.5% (r is 0.095) while currently deposits are earning 3% (d
is .03) and you'll have to maintain 30% of your loan amount
in savings (f is .3), then the true apr is gotten by plugging
these values into the above formula which comes out in this
case at about .122857142 or 12.3% apr. this apr rate only
holds if the borrower always insures that their savings acount
has the absolute minumum to meet the credit union
demands. so every month, as well as putting money into
paying off their loan, they will use the excess savings that
this frees up to pay off more of their loan.
credit union loans were discussed, the messages ended up
here. one aspect of the discussions which bothered me was
the fact that despite arguing the pros and cons of borrowing
from the credit union, no-one seemd to be able to say what
the true apr of a credit union loan was. the other night i
sharpend a pencil and tried to waken the few brain cells i've
left which can handle sums and worked out a formula which
might be useful when considering a credit union load.
the formula i came up with is: if r is the credit union loan
interest rate, d is the interest earned on savings and f is the
fraction of loan which must be kept as savings, then the true
apr of the loan is: (1+r-f(1+d))/(1-f) - 1
so for example if you are told your loan will be charged at
9.5% (r is 0.095) while currently deposits are earning 3% (d
is .03) and you'll have to maintain 30% of your loan amount
in savings (f is .3), then the true apr is gotten by plugging
these values into the above formula which comes out in this
case at about .122857142 or 12.3% apr. this apr rate only
holds if the borrower always insures that their savings acount
has the absolute minumum to meet the credit union
demands. so every month, as well as putting money into
paying off their loan, they will use the excess savings that
this frees up to pay off more of their loan.