數學基本代數方程式在Steem與SBD幣價連動上的應用
cn-stem·@magicmonk·
0.000 HBD數學基本代數方程式在Steem與SBD幣價連動上的應用
 SteemSTEM成立cn-STEM中文子社區真是cn區中文作者的大好消息。趕緊寫一篇有關數學的文章，希望能抱上大腿。 最近看到@samotonakatoshi寫的“為什麼SBD幣價遠低於一美元”[Why is SBD well below USD?](https://steemit.com/steemit/@samotonakatoshi/why-is-sbd-well-below-usd)之後，突然想到可以用數學公式算算看，說不定對我在Steem內部市場上的SBD與Steem兌換操作有些幫助。 [這篇文章](https://steemit.com/steemit/@samotonakatoshi/why-is-sbd-well-below-usd)提到: >..the SBD Debt Ratio, which is the ratio of the SBD token value (always 1 USD x amount of SBD) to the total value of all tokens (value of all STEEMs + value of all SBDs). The maximum value is set to 1:10 (10%). > 將這句話用數學公式表達，可以轉述成: 若 __*x* = SBD幣價 × SBD 總數量__ 且 __*y* = Steem幣價 × Steem 總數量__ 則  在此需要用到不等式，因為文章裡提到SBD債比例（SBD Debt Ratio）是用Maximum Value這個字(最大值)，也就是說此數不可能超過10%，只可能等於或小於10%。 有了這個公式後，就可以開始用代數規則來簡化，看能不能發現什麼。  原來 **y** 除 **x** 大於等於9。再把本來**y** 跟 **x** 的定義代入，將會變成:  似乎無法再繼續簡化，但可以重排，將Steem/SBD的價格設為算式主題。  這還真有趣。我們到Steemd.com找到SBD以及Steem的總數量，來代入此式子測試。   所以，在Steem內部系統把SBD債比例（SBD Debt Ratio）設定為小於或等於10%的情況下，Steem兌SBD的匯價須要大於或等於0.39759. 因此，在Steem的匯價跌到0.39759美元以下的時候，SBD的匯價就無法繼續釘住於一美元，而必須跟著下跌，才能維持系統所定的SBD債比例。 果不其然，Steem匯價跌破0.39美元以後，SBD也跟著同步下跌。最近Steem匯價跌到0.24美元左右，SBD匯價也跟著跌到0.60美元左右，內部市場Steem兌SBD的交易價格則維持在0.40左右。 由此看來，Steem通常都能維持系統所定的SBD債比例，但市場瞬息萬變，此一比例將來是否能繼績維持在10%以下，仍很難說。此文章探討的只是數學基本代數方程的應用，並非投資建議，謮者請自行研判。
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