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Financial Mathematics essay topic

I have a mathematics background and I am currently doing a Masters in Financial Mathematics. I am required to write an essay in a financial mathematics area but I have little knowledge about it since ...
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$\frac{1}{p(T_{i-1},T_i)}(A-p(T_{i-1},T_i))^+$ at time $T_i$ is equivalent to a payment of $(A-p(T_{i-1},T_i))^+$ at time $T_{i-1}$

How can I show that payment of $\frac{1}{p(T_{i-1},T_i)}(A-p(T_{i-1},T_i))^+$ at time $T_i$ is equivalent to a payment of $(A-p(T_{i-1},T_i))^+$ at time $T_{i-1}$ ? Where A is a deterministic ...
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Historical Financial Statement to Backtest in R

I would like to preface this by saying I am preparing for an upcoming internship this summer so I am extremely new to Quant Finance. At my university we have access to Datastream by Thomson Reuters ...
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discounted price economic meaning

Could you please explain why we discount the prices using bank account or some numeraire, what is its economic meaning. Specifically The movement of the security prices relative to each other ...
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Difference in weekly and monthly data

I am confused about the following: I checked daily and weekly prices for Exxon (and also GE). But the values for Open, Low, High, Close, Vol., Adj. Close for both data streams seem to differ from each ...