Create Presentation
Download Presentation

Download Presentation
## Video 20 (Topic 4.2): Bond Valuation and Yields

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**Video 20 (Topic 4.2):Bond Valuation and Yields**FIN 614: Financial Management Larry Schrenk, Instructor**Topics**• Discounted Cash Flow (DCF) Method • Bond Valuation • Bond Yields • Yield to Maturity (YTM) • Yield to Call (YTC) • Current Yield**Discounted Cash Flow (DCF) Method**• Asset Value = PV(Cash Flows) • Examples: • Stock Price = PV(Dividends) • Project Value = PV(Net Annual Cash Flows)**Bond Valuation**• Bond Value = PV(Cash Flows) • Two Cash Flows: • (Semi-Annual) Fixed Coupons • Par Value (at Maturity)**Bond Valuation**• Bond Value = PV(Coupons) + PV(Par Value) • Coupons are an Annuity • Par Value is One Time Payment**Bond Valuation**Formula for Bond Valuation PV(Coupons) PV(Par Value)**Bond Valuation: Example 1**What is the present value of a four year, semi-annual bond with a par value of $1,000.00 and a coupon rate of 8% if the discount rate is 6%?**Bond Valuation: Example 2**What is the present value of a four year, semi-annual bond with a par value of $1,000.00 and a coupon rate of 8% if the discount rate is 6%? N=8 (= 4 x 2) I%=6 PV=0 ◄ Select @, then [ALPHA] [ENTER] PMT=-40 (= (1000 x 0.08)/2) FV=-1000 P/Y=2 C/Y=2 PMT: ENDBEGIN PV = 1070.20 Note: Negatives**Yield to Maturity (YTM)**• Discount rate such that Price = PV(cash flows) • Expectedreturn if the bond purchased at a fair value**Yield to Maturity: Example**What is the YTM of a five year, semi-annual bond with a par value of $1,000 and a coupon rate of 9% if the bond is selling for $990? N=10 (= 5 x 2) I%=0◄ Select @, then [ALPHA] [ENTER] PV=-990 PMT=45 (= (1000 x 0.09)/2) FV=1000 P/Y=2 C/Y=2 PMT: END BEGIN PV (YTM) = 9.25% Note: Negatives**Yield to Maturity Notes**• YTM = expected return only when just purchased. • YTM versus realized/actual yield**Yield to Call (YTC)**• The yield of a bond if it is called, i.e., you were to buy and hold the security until the call date. • Calculation: Same as YTM except: • N = Periods to the Call Date (not Maturity) • FV = Call Price (not Par Value)**Yield to Call: Example**What is the YTC of a five year, semi-annual bond with a par value of $1,000 and a coupon rate of 9% if the bond is selling for $990, the call price is $1,100 and the call date is two years? N=4 (= 2 x 2; N is Periods to Call) I%=0 ◄ Select @, then [ALPHA] [ENTER] PV=-990 PMT=45 (= (1000 x 0.09)/2) FV=1100 (FV is Call Price) P/Y=2 C/Y=2 PMT: END BEGIN PV (YTM) = 14.09% Note: Negatives**Current Yield**• Interest payment relative to price • Current Yield = Annual Interest Payment / Bond Price • It is not the bond’s expected return (that is YTM). • YTM = Current Yield + Capital Gains Yield**Current Yield: Example**Find the current yield for a 9% annual coupon bond that sells for $887 and has a par value of $1,000. Current Yield = $90 / $887 = 0.1015 = 10.15%**Video 20 (Topic 4.2):Bond Valuation and Yields**FIN 614: Financial Management Larry Schrenk, Instructor