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