In trying to explain dynamic pricing to this thread, I started doing the math on the percent discount on each base package, by cost/value. Here are the calculations in Excel. The disturbing thing this points out is that the discount gradually rises until I reach platinum, then gradually declines. By this math, if I had "climbed the ladder" by buying Platinum, and then upgraded to Collector's, I would have paid a total of $10,416.24 - almost $400 dollars less! (Calculation: Cost of Platinum+Percent Not Owned*Cost of Collectors = Cost of Platinum+((Value of Collector's-Value of Platinum)/Value of Collectors)*Cost of Collectors)
If I had "climbed the ladder," starting with Platinum (using the same formula).
I would have paid $2149.95 for Platinum, $1127.49 to upgrade to Diamond, $1379.98 to upgrade to Portfolio and $5593.34 to upgrade to Collector's, for a total cost of 10250.96. That is a difference of $548.99. Since Faithlife collects 6.75% sales tax, I am a total of $586.05 worse off than if I had ordered differently. I was always under the impression from sales people that bigger was better and I was rewarded for jumping over smaller packages with a better deal, but this does not appear to be the case.
Can someone please help explain this to me?
| Cost |
Value |
Savings (1-cost/value) |
| 294.95 |
3177.61 |
0.907179 |
| 629.95 |
6695.41 |
0.905913 |
| 999.95 |
10640.39 |
0.906023 |
| 1549.95 |
16502.68 |
0.906079 |
| 2149.95 |
23343.29 |
0.907899 |
| 3449.95 |
34675.82 |
0.900508 |
| 4979.95 |
47968.14 |
0.896182 |
| 10799.95 |
99502.96 |
0.891461 |
The effect would still occur, of course, for jumping from Starter (the second highest discount) to anything short of Platinum. The numbers are just so much smaller that the effect is less important. Buying Starter before Gold would save only about $3.50.