Hi everyone,
There seems to be a debate in my faction about which is best, buying stock BB's first or investing that same amount in city bank. So I thought I would do the actual calculations to compare the Annual Percentage Rate (APR). Since this is what the city bank uses, it will be the easiest rate to use in order to compare the various investments.
My sample size is based on actual stock payouts I received.
For the LSC BB, I purchased the BB on 04/05/2019 and sold it on 24/10/2019. I therefore held the BB for 173 days, or 24.71 weeks. During this period, I received a total of 26 lottery vouchers for an average of 1.05 per week.
For the FHG BB, I purchased the BB on 25/06/2019 and still hold it today, 20/10/2020. I therefore had the BB for 483 days, or 69 weeks. During this period, I received a total of 70 FHC's for an average of 1.01 per week.
The current value of a Lottery Voucher is $879,612.
The current value of a Feathery Hotel Coupon is $13,051,318.
The cost of a LSC BB is $27,091,500.
The cost of a FHG BB is $917,398,000. ($458.699/share)
An annual percentage rate (APR) is the annual rate earned through an investment.
APR uses the following formula:
APR=((Interest/Principal)/(days of investment term)×365)×100
The cost of investment will be fixed at the current value. While this isn't the most accurate method, it is the best method to compare average weekly BB payouts with average weekly city bank dividends.
So we will replace interest with the total dividends of the period in question, ie $879,612 x 26 = $22 869,912:
APR = (($22 869 912 / $27,091,500)/173*365)*100 = 178.105857701886
For the FHG BB, the total dividends of the period in question is $13,051,318 x 70 = $913 592 260 :
APR = (($913 592 260 / 917,398,000)/483*365)*100 = 75.2558657470778
The highest APR provided by the city bank is the 2 Month investment period, which equals 78.71% APR (at time of writing this post). However, if we are to assume that you would compound your interest in the city bank over the same period then one must instead compare the Annual Percentage Yield (APY) or the "effective annual interest rate" . The effective annual interest rate is the real return paid on savings or the real cost of a loan as it takes into account the effects of compounding and any fees charged.
The APY is calculated using this formula:
APY = (1 + (nominal rate / number of compounding periods)) ^ (number of compounding periods) - 1
So let's calculate the APY for each investment period in the city bank:
1 week: (1+(56.58% APR / 52))^52 - 1 = 0.7555 or 75.55%
2 weeks: (1+(64.89% APR / 26))^26 - 1 = 0.8983 or 89.83%
1 month: (1+(72.33% APR / 12))^12 - 1 = 1.0185 or 101.85%
2 months: (1+(78.71% APR / 6))^6 - 1 = 1.0951 or 109.51%
3 months: (1+(75.09% APR / 4))^4 - 1 = 0.9900 or 99.00%
So the best APY rate is the 2 month investment in the city bank, considering compounding interest.
However, it is commonly known that unless you have $2B capital, the quicker investment period of 2 weeks is still the better investment option, as you can add your bi-weekly earnings to the investment amount and gain an additional compounding value. However, none of the investment APY's beat the LSC BB's APR, which is commonly expected to be lower than an APY. So let's do the actual calculation of total return on investment of the value of the LSC, should you invest the same amount in the bank and compound it.
The expected annual return of the total LSC stock payouts would be:
$879,612 x 1.05 (average payout per week) x 52 weeks = $48 026 815.20
That gives a total profit for LSC of:
$48 026 815.20 (annual return) - $27,091,500.00 (Cost of BB) = $20 935 315.20
If you invested the cost of the LSC BB at the best APY rate (ie 2 months), our annual profit would be:
Cost of BB + 12.94% (bi-monthly interest rate as at date of post) = 2 month compounded investment capital
2 month compounded investment capital + 12.94% (bi-monthly interest rate as at date of post) = 4 month compounded investment capital
4 month compounded investment capital + 12.94% (bi-monthly interest rate as at date of post) = 6 month compounded investment capital
6 month compounded investment capital + 12.94% (bi-monthly interest rate as at date of post) = 8 month compounded investment capital
8 month compounded investment capital + 12.94% (bi-monthly interest rate as at date of post) = 10 month compounded investment capital
10 month compounded investment capital + 12.94% (bi-monthly interest rate as at date of post) = total capital at 12 months
ie:
27091500.00 + 3505640.10 = 30597140.10
30597140.10 + 3959269.93 = 34556410.03
34556410.03 + 4471599.46 = 39028009.49
39028009.49 + 5050224.43 = 44078233.92
44078233.92 + 5703723.47 = 49781957.39
49781957.39 + 6441785.29 = 56223742.68
So total profit is $56 223 742.68 - $27,091,500.00 (Cost of BB) = $29 132 242.68 / year.
However, this is just the profit in the first year. Something else to consider is that after the cost of the BB is deducted in the first year, the total profit for the second year on the BB payouts is $48 026 815.20, since the cost of the BB is only deducted once. And if you can buy the BB at a low price, the total increase in price/share could substantially increase your total return on investment. The same holds true for an FHG BB, but the APR does not beat the APR of even a 1 week investment, which means that you should technically only consider buying the FHG BB once you have the $2B max capital in the city bank. It should be noted that I bought the FHG BB at a very low price of $253.133/share, so my return on investment on the FHG BB is better than the bank investment.
"(BB)You bought at $506,266,000 worth and profit + $409,498,000"
In summary, the most cost effective way to invest $27M is to FIRST buy an LSC stock BB (when the price is super low) and re-invest the returns from selling the lottery vouchers in the city bank on a bi-weekly basis, adding additional profits from flying, trading, etc. every 2 weeks.
EDIT: I have been provided with this link:
http://torn.sliw.co/resources/stockmarket.png and this forum thread:
https://www.torn.com/forums.php#/p=threads&f=61&t=16041805&b=0&a=0 which indicates that LSC provides a weekly return of 3.25% based on a larger sample database of received stock payouts. This is higher than the bi-weekly rate of 2.49%, which supports my theory that LSC is the best investment option. The key to making it more profitable is buying the stock BB when the price is low, and holding it long term so that the increase in the cost/share also adds to the value of the total return on investment, not just the stock payouts.