Formulas and facts: ⚫ Accrued interest = (#days since last coupon/number of days per coupon period)*coupon • CAPM: E(ra) = rƒ + Ba (E(rm) - rƒ) or E(rarf) = ẞa (E(rm) — rƒ) ⚫ CAPM test regression: Tit-Tft = ai + ẞi(rmt − rft) + Eit Fama French 3-factor model: E(rar): E(SMB)+ha E(HMLt) = - BaE(Tm rf) + Sa * Fama French test regression: Tat - rft = αa + Ba * (Tmt - Tft) + Sa * (SMB)+ha (HMLt) + Eit Carhart 4-factor model: E(rar) = Ba* E(™m - rƒ) + Sa * E(SMBt) + ha * E(HMLt) + maE(MOM) Carhart 4-factor test regression: Tat-Tft = a + Ba* (Tmt − ˜ft) + Sa * (SMB₁) + ha* (HMLt) + ma* (MOM₁) + Eit • mktr ft = rmt-Tft is the excess return on the US stock market. ⚫ SMB₁ = "small,t - "big,t is the return on the portfolio of small-cap US stocks in excess of the return on a portfolio of large-cap US stocks. • HML₁ = Thigh,t-Tlow,t is the return on the portfolio of high book-to- market (value) stocks in excess of the return on the portfolio of low book-to-market (growth) stocks. ⚫ MOM₁ = "Winners,t - "Losers,t is the return on stocks with high returns over the prior 12 months in excess of the return on stocks with low returns over the prior 12 months. ⚫ return = Ending Value-Starting Value Starting Value Price+Div-Price Priceo • Ba= = corr(rm.ra)σ(ra) 0(1b) = Slope of the best fit line through plot of ra vs. Tm • (1+11/2)2-0.5 (1+12/2)2-2 P CF₁ CF₂ - + + + CFT CF1 CF2 = (1+ytm/2)1-2 (1+ytm/2)2-2 + + (1+r7/2)1-2 CFT (1+ytm/2)1-2 + P= (w1, 1,, Wn) ⇒ Duration: = w₁ D₁+w2 ⋅ D₂+ ... + Wn · Dn AP/P-Durp Ay . •AP/P-Durp Ay + ½ Convexity (Ay)² wo . • ΨΑ = where w = 1+wo(1-BA) αA/02(EA) E(rm-rƒ)/0²(rm)* WM = 1 - WA. • t-statistic = estimate-null value standard error • If t>2, then p-value < 0.05 • P = D₁ = E₁x (1- b)
1. A private equity firm XYZ performs a leveraged buyout in which they purchase all equity and debt of company ABC for $5 billion. XYZ finances this purchase with $1 billion of its own capital and borrows the remaining $4 billion at 20% interest. In one year (unusually short for LBO), XYZ pays off the debt and sells ABC for $7.5 billion. Which of the following is closest to XYZ’s
Group of answer choices
- 300%
- 350%
- 200%
- 250%
- None of the above
2. A firm is planning on paying its first dividend of $2 three years from today. After that, dividends are expected to grow at 6% per year indefinitely. The stock’s required return is 14%. Which of the following is closest to the intrinsic value of a share today?
Group of answer choices
- $17.00
- $21.00
- $19.00
- $18.00
- $20.00



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