CFA® Level I · One email a day

Pass Level I five minutes at a time.

Every morning, one study pill lands in your inbox: a single concept, the formula that matters, and one exam-style question. No app, no dashboard, no guilt — just open your email.

Miguel's own study notes, shared privately by invitation — not a public product

Pill 042 / 180 · Quantitative Methods Today's pill

Time Value of Money: Present Value of a Perpetuity

A perpetuity pays a fixed amount forever. Because payments never end, you can't sum them one by one — but the geometric series collapses to a single division:

PV = PMT / r

A preferred stock pays a fixed $4.50 annual dividend. If the required return is 6%, its value is closest to:

✓ Correct — PV = 4.50 / 0.06 = $75.00. Preferred stock with a fixed dividend is valued as a perpetuity.

How it works

A day-by-day sequence that covers the full Level I curriculum in exam-weighted order. Each pill builds on the last.

STEP 01

Get your invite code

Access is by invitation only — ask Miguel for a code, then join at /join with your email.

STEP 02

Open one email a day

Each pill is one concept, one formula (when there is one), and one exam-style question with a worked answer. Readable in under five minutes, on your phone, on the train.

STEP 03

Reply to test yourself

Weekly recap emails quiz you on the last seven pills. Miss a question and that concept re-enters your queue — spaced repetition, without another app to install.

The full curriculum, weighted like the exam

Pills are distributed to mirror official topic weights, so your daily effort matches how points are actually awarded.

Ethical & Professional Standards15–20%
Financial Reporting & Analysis13–17%
Equity Investments10–12%
Fixed Income10–12%
Quantitative Methods8–12%
Economics8–12%
Corporate Finance8–10%
Portfolio Management5–8%
Derivatives5–8%
Alternative Investments5–8%

Topic weights per the CFA Institute Level I exam. Verify current weights at cfainstitute.org before your sitting.