Hi,
I have been taught that calculating the true funding cost is more accurate using method 1 than method 2 (shown below):
[Vars: Fa=percentage funding cost, P=amount of money raised, T=true funding cost]
1. T = P/(1-Fa)
2. T = P + P*Fa
Why is this so? Why do they not equal each other?
Your help is much appreciated.
As Wilmer has shown there is a slight difference in the formulae.
In general, the COST required to raise money is deducted from the TOTAL amount of money raised.
If you are to raise some money & you spend a few dollars for postage, telephone, gasoline, office space, and so forth, you expect to be repaid your out of pocket expenditures. Say you raise $1000 and your total costs were $50, or 5% of the amount raised.
However, the fund would not report income of $1000. The fund would deduct your costs (5%) from the $1000 and then record $950 as the amount raised.
Note: If you had raised $1052.63 and then deduct the 5% (5% of 1052.63 is $52.63) the fund would report and income of $1000.
It cost an additional $2.63 to raise the additional $50.
In this example:
T = P/(1-Fa)
The cost to raise the money is deducted from the money raised.
If the fund has a benefactor (or an isolated method of paying for costs (your out of pocket money), then your expense would be paid by a different source -- or more likely you'd say just forget about the minor expenses; you absorb the cost or don't require coverage for your small expenditures. The fund would report that $1000 had been raised (at zero cost to the fund).
T = P(1+Fa)
The cost to raise the money is paid by someone else.
Hope that is meaningful.
.