RASEC! You’re racing through these topics so quickly - every day you’re onto another one! - you’re making me feel bad that I’m still trying to slog my way through quant. I’m so bloody toast.
Cap rate = discount rate − growth rate, by definition. Thus, discount rate = cap rate + growth rate.
The going-in cap rate is used, well, going in; for the terminal value, you will use the terminal cap rate (which is likely different). If they give you “going-in cap rate” and “cap rate”, I’d assume that the latter is the terminal cap rate; what else could it be?
Get terminal value : 13.5 x 12 = 162 --. terminal value in Yr8.
Discount back to Yr 7 using the your normal (Re - g). Using your statement above Cap rate = discount rate − growth rate; 7 = x - 2.5; Re=9.5.
*** In my mind, the Cap rate is the rate to discount the terminal value
162 / .07 = 2314.28 value at time 7.
discount 2314.28/ (1.095)^7 = 1126.07
1126 + 39.7 =1265.0 ~~ 126.5 ***WRONG***
Here is what the answer in the vigenette said:
Terminal value estimate = 12 x 13.5 = 162 for the end of year 7
The discount rate is the Cap rate + Growth rate = 9.5% **this counting the terminal value at the Cost of Equity, instead of the Re - G or cap rate…WHYYYYYY??? OH GOD WHYYY??? ****
Discounting this terminal value to find the Present value: FV =162; N=7, I=9.5%; PV =85.83