dmunsil
Disney Uber-Nerd
- Joined
- Jan 11, 2008
- Messages
- 1,456
Warning: you may want to get some coffee. This is another long brain dump from a man who has been driven to distraction by his inability to actually use his DVC membership. 
I've been calculating the Net Present Value (NPV) of a DVC membership, assuming that you use all your points, that the cash price of DVC rooms keeps going up at some rate, that the dues keep going up at some rate, and factoring in the time value of money, in other words that in order to get something worth $X at some point in the future, you should be willing to pay a smaller value, $Y, where Y and X are related by the assumed time value of money. The time value of money is basically the interest rate you believe you could get for your money.
So you can see a DVC membership as buying a stream of annual discounts, where the amount of the discount is the difference between what you pay for your points (in dues) and what the rooms you could buy with those points would cost in cash. Then you extend that discount out to the length of the contract (29 years for BWV, 47 years for BLT, etc.), and calculate the Net Present Value of all of those discounts and add them up. You increase the dues by a reasonable value each year, and the cash prices by a reasonable value each year, and pick a time value for money that isn't crazy.
The net result is that even at direct prices, DVC looks like a good deal. At resale prices it looks like a fantastic steal. This is even if you use really conservative numbers for time value of money and pessimistic numbers for dues and cash room inflation.
Personally, I think dues and cash room prices will go up at about the same rate, and I think they will eventually fall into line with inflation. Unfortunately, "eventually" could be a very long time. Cash room inflation and dues inflation have been higher than core inflation for years, and they could stay higher than core inflation for many many years. Still, 3% annual inflation seemed like a reasonable figure. And time value of money of 4.5% seems defensible. A bond index fund, for example, would average more than that, and rarely return less for a one-year period.
The interesting thing about all this is that if you plug in the numbers and build out the chart of what a contract is "worth" the value goes up for a lot of years before going down again until obviously on the last year it's worth exactly what that year's discount comes out to be. That had me scratching my head until I realized that it's only going up in nominal dollars, not inflation adjusted dollars.
For example, my assumptions say that 300 points of BLT this year are worth $104,046. Next year those same 300 points are worth $105,563. The value actually peaks in 2033, at $123,163. After that it goes down every year until in the final year it's worth $11,796, which is what I calculate the difference between dues on 300 points will cost and what the equivalent rooms would cost in cash.
However, if we imagine 2% inflation, that "peak" value of $123,163 has the buying power of $84,543 in 2013 dollars. So really, the true value of the contract isn't going up, it just feels like it is. I think this is part of what we're seeing with the price inflation both from Disney and from the resale market. The price is going up in nominal dollars, but in inflation adjusted dollars, it's rising much more slowly. Again, I would guess direct DVC prices will in the long run inflate about as fast as dues and cash rooms. The long run can be very very long, though.
Considering that the current price of 300 points of BLT buying direct are $49,500 at Disney's $165/pt and $34,500 at a high-ish resale price of $115/pt, this analysis suggests that DVC is a good deal.
So here's a counterintuitive thing: suppose you're waaaay more pessimistic than I am. Say you think the time value of money is more like 3% because you don't trust that a bond fund can really get you 4.5%. Say you think room and dues inflation is going to be 4%. Under those assumptions, the DVC contract is worth more. It's now worth $179,291, because those discounts in the future get very large, and the value of those future discounts are larger today, because you're not assuming you could make as much interest via other investments.
So DVC is a purchase that is more valuable to someone who is more pessimistic about the future. That's something I'm still trying to wrap my head around.
This chart also, I think, is potentially an explanation as to why Disney is willing to sell DVC when it's such a steal for the buyers. In essence, Disney is optimistic about the future. At a time value of money of 8.5%, the calculated value of the contract starts to approximately equal the actual selling price. At 10%, the value is well below the selling price. So if Disney thinks they can make 10% or more on capital, DVC is a huge win for them.
Here's a sample chart for 300 points of BLT where the room and dues are inflating at 3% per year and the time value of money is 4.5%:

I've been calculating the Net Present Value (NPV) of a DVC membership, assuming that you use all your points, that the cash price of DVC rooms keeps going up at some rate, that the dues keep going up at some rate, and factoring in the time value of money, in other words that in order to get something worth $X at some point in the future, you should be willing to pay a smaller value, $Y, where Y and X are related by the assumed time value of money. The time value of money is basically the interest rate you believe you could get for your money.
So you can see a DVC membership as buying a stream of annual discounts, where the amount of the discount is the difference between what you pay for your points (in dues) and what the rooms you could buy with those points would cost in cash. Then you extend that discount out to the length of the contract (29 years for BWV, 47 years for BLT, etc.), and calculate the Net Present Value of all of those discounts and add them up. You increase the dues by a reasonable value each year, and the cash prices by a reasonable value each year, and pick a time value for money that isn't crazy.
The net result is that even at direct prices, DVC looks like a good deal. At resale prices it looks like a fantastic steal. This is even if you use really conservative numbers for time value of money and pessimistic numbers for dues and cash room inflation.
Personally, I think dues and cash room prices will go up at about the same rate, and I think they will eventually fall into line with inflation. Unfortunately, "eventually" could be a very long time. Cash room inflation and dues inflation have been higher than core inflation for years, and they could stay higher than core inflation for many many years. Still, 3% annual inflation seemed like a reasonable figure. And time value of money of 4.5% seems defensible. A bond index fund, for example, would average more than that, and rarely return less for a one-year period.
The interesting thing about all this is that if you plug in the numbers and build out the chart of what a contract is "worth" the value goes up for a lot of years before going down again until obviously on the last year it's worth exactly what that year's discount comes out to be. That had me scratching my head until I realized that it's only going up in nominal dollars, not inflation adjusted dollars.
For example, my assumptions say that 300 points of BLT this year are worth $104,046. Next year those same 300 points are worth $105,563. The value actually peaks in 2033, at $123,163. After that it goes down every year until in the final year it's worth $11,796, which is what I calculate the difference between dues on 300 points will cost and what the equivalent rooms would cost in cash.
However, if we imagine 2% inflation, that "peak" value of $123,163 has the buying power of $84,543 in 2013 dollars. So really, the true value of the contract isn't going up, it just feels like it is. I think this is part of what we're seeing with the price inflation both from Disney and from the resale market. The price is going up in nominal dollars, but in inflation adjusted dollars, it's rising much more slowly. Again, I would guess direct DVC prices will in the long run inflate about as fast as dues and cash rooms. The long run can be very very long, though.
Considering that the current price of 300 points of BLT buying direct are $49,500 at Disney's $165/pt and $34,500 at a high-ish resale price of $115/pt, this analysis suggests that DVC is a good deal.
So here's a counterintuitive thing: suppose you're waaaay more pessimistic than I am. Say you think the time value of money is more like 3% because you don't trust that a bond fund can really get you 4.5%. Say you think room and dues inflation is going to be 4%. Under those assumptions, the DVC contract is worth more. It's now worth $179,291, because those discounts in the future get very large, and the value of those future discounts are larger today, because you're not assuming you could make as much interest via other investments.
So DVC is a purchase that is more valuable to someone who is more pessimistic about the future. That's something I'm still trying to wrap my head around.

This chart also, I think, is potentially an explanation as to why Disney is willing to sell DVC when it's such a steal for the buyers. In essence, Disney is optimistic about the future. At a time value of money of 8.5%, the calculated value of the contract starts to approximately equal the actual selling price. At 10%, the value is well below the selling price. So if Disney thinks they can make 10% or more on capital, DVC is a huge win for them.
Here's a sample chart for 300 points of BLT where the room and dues are inflating at 3% per year and the time value of money is 4.5%:
Code:
Year Room Dues Savings NPV
2013 $4,378.50 $1,350.00 $3,028.50 $104,046.40
2014 $4,509.86 $1,390.50 $3,119.36 $105,563.71
2015 $4,645.15 $1,432.22 $3,212.94 $107,054.35
2016 $4,784.51 $1,475.18 $3,309.32 $108,514.28
2017 $4,928.04 $1,519.44 $3,408.60 $109,939.17
2018 $5,075.88 $1,565.02 $3,510.86 $111,324.45
2019 $5,228.16 $1,611.97 $3,616.19 $112,665.20
2020 $5,385.00 $1,660.33 $3,724.67 $113,956.21
2021 $5,546.55 $1,710.14 $3,836.41 $115,191.96
2022 $5,712.95 $1,761.44 $3,951.51 $116,366.55
2023 $5,884.34 $1,814.29 $4,070.05 $117,473.72
2024 $6,060.87 $1,868.72 $4,192.15 $118,506.83
2025 $6,242.69 $1,924.78 $4,317.92 $119,458.84
2026 $6,429.97 $1,982.52 $4,447.45 $120,322.27
2027 $6,622.87 $2,042.00 $4,580.88 $121,089.18
2028 $6,821.56 $2,103.26 $4,718.30 $121,751.17
2029 $7,026.21 $2,166.35 $4,859.85 $122,299.35
2030 $7,236.99 $2,231.34 $5,005.65 $122,724.27
2031 $7,454.10 $2,298.28 $5,155.82 $123,015.96
2032 $7,677.73 $2,367.23 $5,310.49 $123,163.85
2033 $7,908.06 $2,438.25 $5,469.81 $123,156.76
2034 $8,145.30 $2,511.40 $5,633.90 $122,982.86
2035 $8,389.66 $2,586.74 $5,802.92 $122,629.66
2036 $8,641.35 $2,664.34 $5,977.01 $122,083.95
2037 $8,900.59 $2,744.27 $6,156.32 $121,331.75
2038 $9,167.61 $2,826.60 $6,341.01 $120,358.33
2039 $9,442.63 $2,911.40 $6,531.24 $119,148.10
2040 $9,725.91 $2,998.74 $6,727.17 $117,684.63
2041 $10,017.69 $3,088.70 $6,928.99 $115,950.54
2042 $10,318.22 $3,181.36 $7,136.86 $113,927.52
2043 $10,627.77 $3,276.80 $7,350.96 $111,596.24
2044 $10,946.60 $3,375.11 $7,571.49 $108,936.31
2045 $11,275.00 $3,476.36 $7,798.64 $105,926.24
2046 $11,613.25 $3,580.65 $8,032.60 $102,543.34
2047 $11,961.65 $3,688.07 $8,273.58 $98,763.73
2048 $12,320.50 $3,798.71 $8,521.78 $94,562.21
2049 $12,690.11 $3,912.68 $8,777.44 $89,912.25
2050 $13,070.82 $4,030.06 $9,040.76 $84,785.88
2051 $13,462.94 $4,150.96 $9,311.98 $79,153.65
2052 $13,866.83 $4,275.49 $9,591.34 $72,984.54
2053 $14,282.83 $4,403.75 $9,879.08 $66,245.89
2054 $14,711.32 $4,535.86 $10,175.45 $58,903.32
2055 $15,152.66 $4,671.94 $10,480.72 $50,920.62
2056 $15,607.24 $4,812.10 $10,795.14 $42,259.70
2057 $16,075.45 $4,956.46 $11,118.99 $32,880.46
2058 $16,557.72 $5,105.15 $11,452.56 $22,740.74
2059 $17,054.45 $5,258.31 $11,796.14 $11,796.14