In: Finance
What probability of payment would be required for the seller to break even (have a zero net present value from granting credit) on an item sold on credit for a price of $1050, has a required return of 15%, a collection period of 6 months, and requires an investment in the sale of $800? (Express your answer in decimal format (rather than as a percentage) and accurate to four decimal places.)
Assumed probability= | P | |
AR collection= | 1050*P | |
PV of AR collection= | 1050*P/(1+15%)^(6/12) | |
This PV should be equal to initial investment to break even | ||
1050*P/(1+15%)^(6/12)= | 800 | |
P * 979.130048652329= | 800 | |
P= | 800/979.130048652329 | |
P= | 0.8171 |