Merge remote-tracking branch 'origin/main'
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@@ -29,3 +29,73 @@ would be unlikely to be able to provide.
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Their dismissal of legitimate _instrumental_ complaints
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(misplaced effort, and deviation from more widely accepted standards)
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speaks to a fundamental misunderstanding of the purpose of estimating.
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## 2026-01-29 17:57
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### Calculating Utility of Above-Minimum Mortgage Payment
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See [[2026-01-25#Calculating Monthly Principal & Interest Payment]].
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Homeowners are often advised to make elective mortgage payments
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to reduce the total interest paid on the loan,
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but an unrelated investment with a sufficient return
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could outweigh the reduced loss.
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Suppose you had $E$ dollars to
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The return on electing to pay $E$ to the mortgage
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is the
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(i.e., interest that will no longer accrue)
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at the end of the loan is:
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$$
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R_{\text{mortgage}} = E(1+i)^{n}
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$$
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> [!info]- Explanation
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> This formula may seem suspiciously straightforward,
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> but suppose you did _not_ contribute $E$.
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> That portion of the principle would accrue interest
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> every month at rate $i$.
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> After $n$ months, the interest accrued by that portion is given by:
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>
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> $$
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> E(1+i)^{n}
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> $$
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If the same $E$ is invested elsewhere at monthly return $j$,
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its future value after $n$ months takes the same form:
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$$
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\text{FV}_{\text{investment}} = E(1+j)^{n}
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$$
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Therefore, $j$ must exceed $i$
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for the alternative investment to be preferable to elective payment.
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Note that $i$ and $j$ are adjusted rates,
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including respect for taxes and utility.
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On second thought, in a utility context,
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time preference could make $j$ preferable
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even when slightly lower.
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Short-term investments may be favored
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when liquidity is needed during the term,
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Tax deferred investments (IRA)
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are strongly favored over elective payment
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since interest is deductible
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(effective interest < nominal).
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### Calculating Effect of Elective Payment on Term Length
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The monthly payment and interest rate are fixed,
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so the term length must decrease
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$$
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\begin{align}
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A &= P \cdot \frac{i(1+i)^n}{(1+i)^n-1} \\
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P &= A \cdot \frac{(1+i)^n-1}{i(1+i)^n} \\
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n &= \frac{\ln\left(\frac{A}{A-Pi}\right)}{\ln(1+i)} \\
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\end{align}
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$$
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@@ -0,0 +1,85 @@
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---
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id:
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aliases: []
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title: At The Quinte Hotel
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tags:
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- authorship/other
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- destiny/permanent
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- exclude-from-word-count
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- status/complete
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- type/media/poetry
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authors:
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- Al Purdy
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collection: Poems for All the Annettes
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type: poem
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year: 1962
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---
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# At The Quinte Hotel
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I am drinking \
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I am drinking yellow flowers \
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in underground sunlight \
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and you can see that I am a sensitive man \
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and I notice that the bartender is a sensitive man \
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so I tell him the beer he draws \
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is half fart and half horse piss \
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and all wonderful yellow flowers \
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But the bartender is not quite \
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so sensitive as I supposed he was \
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the way he looks at me now \
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and does not appreciate my exquisite analogy \
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Over in one corner two guys \
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are quietly making love \
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in the brief prelude to infinity \
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Opposite them a peculiar fight \
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enables the drinkers to lay aside \
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their comic books and watch with interest \
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while I watch with interest \
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a wiry little man slugs another guy \
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then tracks him bleeding into the toliet \
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and slugs him to the floor again \
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with ugly red flowers on the tile \
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three minutes later he roosters over \
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to the table where his drunk friend sits \
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with another friend and slugs both \
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of em ass-over-electric-kettle \
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so I have to walk around \
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on my way for a piss \
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Now I am a sensitive man \
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so I say to him mildly as hell \
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"You shouldn'ta knocked over that good beer \
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with them beautiful flowers in it" \
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So he says "Come on" \
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So I Come On \
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like a rabbit with weak kidneys I guess \
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like a yellow streak charging \
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on flower power I suppose \
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& knock the shit outa him & sit on him \
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(he is just a little guy) \
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and say reprovingly \
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"Violence will get you nowhere this time chum \
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Now you take me \
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I am a sensitive man \
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and would you believe I write poems?" \
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But I could see the doubt in his upside down face \
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in fact in all the faces \
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"What kind of poems?" \
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"Flower poems" \
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"So tell us a poem" \
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I got off the little guy but reluctantly \
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for he was comfortable \
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and told them this poem \
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They crowded around me with tears \
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in their eyes and wrung my hands feelingly \
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for my pockets for \
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it was a heart-warming moment for literature \
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and moved by the demonstrable effect \
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of great Art and the brotherhood of people I remarked \
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"-the poem oughta be worth some beer" \
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It was a mistake in terminology \
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for silence came \
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and it was brought home to me in the tavern \
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that poems will not really buy beer or flowers \
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or a goddam thing \
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and I was sad \
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for I am a sensitive man \
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