Time Influence on Valuation Flashcards
Net Present Value
NPV = PV of Future Cash Flows - Purchase Price.
Multi-period Models
Present value, or
PV=CF1/(1+k)1+CF2/(1+k)2+…+CFT/(1+k)T
CF = Cash flow
K - required rate of return
Subscript is the number of years
Value of a bond
The value of a bond is equal to the present value of future interest payments plus the present value of par at maturity:
PV bond = Coupon(PVIFAi,n) + Par(PVIFi,n)
Promised Yield to Maturity
Let P be the current market price of a bond with a remaining life of n years, and promising cash flows to the investor of C1 in year 1, C2 in year 2, and so on. The promised yield-to-maturity of the bond is the value of y that solves the following equation:
P= c1/(1+y)1 + c2/(1+y)2 + c3/(1+y)3+… + cn/(1+y)n
Overpriced or Underpriced
The capitalization method is applied to a bond valuation by comparing the bond’s yield-to-maturity (y) with the appropriate yield-to-maturity (y*) or required rate of return.
If y > y, the bond is undervalued
If y < y, the bond is overvalued
If y = y*, then the bond is said to be fairly priced
Intrinsic Value
The inherent value of a bond is called its intrinsic value.