From b396980d4699eb12b161fa09de712d775f22b053 Mon Sep 17 00:00:00 2001 From: Zane Meyers Date: Thu, 29 Jan 2026 22:10:26 -0500 Subject: [PATCH 1/3] vault backup: 2026-01-29 22:10:26 --- 2026-01-29.md | 56 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 56 insertions(+) diff --git a/2026-01-29.md b/2026-01-29.md index 2be57fa..fdc96a2 100644 --- a/2026-01-29.md +++ b/2026-01-29.md @@ -29,3 +29,59 @@ 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. + +### Calculating Effect of Elective Payment on Term Length + +The monthly payment and interest rate are fixed, +so the term length must decrease + +$$ +\begin{align} +A &= P \cdot \frac{i(1+i)^n}{(1+i)^n-1} \\ +P &= A \cdot \frac{(1+i)^n-1}{i(1+i)^n} \\ +n &= \frac{\ln\left(\frac{A}{A-Pi}\right)}{\ln(1+i)} \\ +\end{align} +$$ From 02b428a8c3d39a41432497f57600ceab290eea5a Mon Sep 17 00:00:00 2001 From: Zane Meyers Date: Thu, 29 Jan 2026 22:37:15 -0500 Subject: [PATCH 2/3] vault backup: 2026-01-29 22:37:15 --- 2026-01-29.md | 14 ++++++++++++++ 1 file changed, 14 insertions(+) diff --git a/2026-01-29.md b/2026-01-29.md index fdc96a2..cd87bd9 100644 --- a/2026-01-29.md +++ b/2026-01-29.md @@ -73,6 +73,20 @@ $$ 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, From 7e4b1b40e09d2a8bf169918db01a13115d8de3ef Mon Sep 17 00:00:00 2001 From: Zane Meyers Date: Fri, 30 Jan 2026 07:06:04 -0500 Subject: [PATCH 3/3] vault backup: 2026-01-30 07:06:04 --- purdy_1962_quinte-hotel.md | 85 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 85 insertions(+) create mode 100644 purdy_1962_quinte-hotel.md diff --git a/purdy_1962_quinte-hotel.md b/purdy_1962_quinte-hotel.md new file mode 100644 index 0000000..a451301 --- /dev/null +++ b/purdy_1962_quinte-hotel.md @@ -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 \