453 - Exam 2 Flashcards
(103 cards)
Exam 2
Oct. 3 on
ch. 6, 7, 11, 12
Bond
any fin. arrangement involving the current transfer of resources from a lender to a borrower, with a transfer back at time in the future
- -car loans, home mortgages, credit card balances (all have loan from fin. intermediary to an individual making a purchase)
- -when companies need to finance operations - sell bonds
- -when gov. needs o borrower - sells onds
After the crisis…
coroporations wanted to decrease debt, but in 2012 US bonds outstanding was more than $10 T and increasing
- -byt 2016 gov. had more than $22T in debt
- -1500s - monarchs (spain) borrowed internationally and defaultes = increase int. rates
- -Dutch 1st invented modern bonds to finance the war
- -Hamilton brings to U.S. - He consolidated all debt remaining from revolutionary war in 1789 - result was 1st US. gov. bonds
3 Important things with bonds
- inverse relationship btwn bond prices and int. rates
- S&D in bond market determine bond prices
- why bonds are risky
Bond prices - 1. zero cpn. bonds
How much to be willing to pay depends on bond’s characteristics
- zero-cpn bonds - single future pmt. (US treasury bill)
- -T bill - promise from US gov. to pau $100 at fixed future date…also called “pure discount bonds” - bc PV much < FV
- -ex. pv = $96, then the $4 is interest (pmt. for making the loan)
T-bills always < 1 yr. to maturity
–shoter = more willing to pay for it now
bond prices - 2. fied pmt. loans, 3. CPN bonds, 4. Consols (perpetuities)
pg. 136 - regular mortgage vs. ARMs
2. fixed pmt. loans
- -car loans/mortgages (fixed regular pmts.)
- -amortized - borrower pays off principal + interest over life
VA fixed = sum of PV of all future pmts.
- coupon bonds
–series of cpn. pmts. + principal @ maturity
VAcb = sum of PV of all cpn. pmts. + the PV of the FV at maturity - consols (perpetuities) - only int. pmts. to infinity
–British gov. sold consols in 2015…US gov. did in 1900 - not today
P = ann. coupon pmt. / int. rate
Bond yields
yield = measure of cost of borrowing and reward for lending
–YTM - yield to bondholders if hold to maturity
P = FV then CPN = YTM
P > FV then CPN > YTM
P < FV then CPN < YTM
capital gain - rise in value (if price below FV, return is above CPN)
–capital loss - (YTM < CPN, PV > FV)
current yield = ANN CPN / Price paid (PV) - measures return solely from cpn. pmts. (ignored cap. gain/loss) estimate of YTM
–if P decreases the CY incraese, and P=FV then CY = CPN
PFV — CPN > CY > YTM
Holding period return
some ex. too simple bc assumes investor holds to maturity - usually buy, hold, then sell
– have to account for change in price over the period you held it for
ex. p = $100, 6% CPN, FV = 100, n = 10
- -buy 10 year bond and later sell 1 yr. later – becomes a 9 year bond
- -over one year int. rate falls from 6% to 5%
1 yr. HPR = (6/100) + (107.11 - 100)/100 = (13.11/100) = .1311
Or if YTM inc. to 7%, then P falls
(6/100) + (93.48 - 100)/100 = -.52/100 = -.0052
HPR = (ann cpn./price paid) + change in P of bond / price paid
HPR = current yield + capital gains
when bond price changes always is cap. gains or loss - int. rate change and bond price change create risk
–higher n means more risk
- Bond mkt. an determination of interest rates (READ PG. 142-143 “Tools of trade”
- -bond supply curve
if assume investor plans to buy 1 yr. bond and hold to maturity - incestor has a 1 yr. investment horizon – then HPR = YTM (both are determined from Price)
P = 100 / (1 + i) —–> i = 100 - P / P
bond prices are determined by S & D
bond supply curve = relatioship btw D & Q of bonds ppl are willing to sell
- -Inc. bond price = inc. quantity supplied
- -investores – inc. P = Inc. desire to sell what they hold, comp. inc. price - inc. funding they desire
upward slope – P = $90 and P = $95, more supplied at $95
bond demand curve
relationship btwn price and Q of bonds investors demand
–dec. P = reward of holding bond increases so D increases
P = $90, $95 - more demand at $90
–when D increases the yields inc. (bc decreases price and Price and Y inversely related)
–if P is too high, S > D so excess supply (means suppliers can’t sell bonds they want to at current price) so puts downward pressure on P
–P too low, D > S - ppl who want to buy bonds cannot get all the want - upward pressure on P
IMP!!!!
When QD and QS shift because change in P = MOVING ALONG CURVE
–but at given P, still change = shifts entire curve and changes the yield
Factors that shift supply
PAGE 146-147 show charts with shifts of S and D
- change in gov. borrowing
- -change in tax policy and adjustments in spending – lead to change in gov. need to borow
- -inc. gov. borrowing = inc. # bonds and S curve shifts RIGHT
- -D = constant – S increases and P decreases so int. rates increase - change in general business conditions
- -if bus. is good = firms want to invest and borrow to do it = debt increases and quantity of bonds inc. - as business conditions improve S curve shifts RIGHT, p dec. and int rates increase
- -also shows why weak economy leads to price increases and lower int. rates - change in EXPECTED inflation
- -(REAL cost of borrowing)
- -at nominal int. rate constant – inc. inflation and dec. REAL interest rate
- -dec. int. rate leads to fewer real resources required to make pmts. promised by bonds
- -expeced inflation increases, cost of borrowing decreases and desire to borrow increases
- -INC. in expected inflation – S curve shifts RIGHT = Inflation inc. and price dec. and inc. rate inc. - change in corporate taxation - req. gov. legislation (not often)
- -tax income – but gov. creatse tax subsidies that make corp. investments less costly – so inc. supply shift RIGHT and dec. Price and inc. int. rates
Factors that shift demand
LOOK AT PAGE146-147!!!!!!!!
- wealth – econ. grow and inc. wealth = inc. investment
- -wealth INC. so D inc. and shifts RIGHT – P inc. and int. rates fall
- -economic expansion
- -in recession, wealth dec., D dec., P decreases, and raise int. rates - expected inflation
- -affect inv. willingness to buy bonds
- -dec. expected inflation means pmts. promised by bond issuer have more value than buyers thought so bonds are more attractive
- -exp. inflation FALLS then D increases and shifts RIGHT
- -P inc. and int rates fall - Expected returns and expected int. rates
- -E[r] INC. relative to other alternative investments, D inc. and shifts RIGHT
- -conclude bond prices are connecte dto stock mkt. – P inc. and int. rates fall
- -also when int. rates expected to change, bond prices adjust immediately
- -HPR = cpn. pmt. + cap gains/loss
- -int. rates dec., P expected to Inc. so expect cap. gain = bonds attractive
- -exp. int. rates dec. = D inc. = P inc. and int. rates fall (cap. gains expect) - risk relative to alternatives
- -risk requires compensation – less risky = higher price willing to pay for it
- -if bond is less risky relative to alernatives, D inc. and shifts RIGHT - P inc. and int. rates fall - liquidity relative to alternatives
- -liquid can sell without large loss in value - more liquid = inc. D and shift RIGHT
Change in equilibrium
change in expected inflation affects both S and D
- -inc. expected inflation = S shifts RIGHT bc decreases real cost of borrowing
- -BUT D shifts left because dec. real return to investors
- -equilibrium - dec. P and inc. int. rates (in case of inflation)
if both shift same direction, P can rise or fall (difficult to predict)
- -change in business conditions also impacts both - bus. cycle downturn dec. inestment opportunity so S curve shifts left and dec. wealth so D also LEFT
- -in this case i think P inc. and int. rate falls
why bonds are risky
- default risk - issuer may not make promised pmts. on time
- inflation risk - inflation higher than expected = dec. real return on holding the bond
- int. rate risk - int. rates may inc. btwn time bond is purchased and time sold = dec. bond price (cap. loss)
risk arises from fact that an investment has many possible payoffs during horizon for which it is held
- -to assess risk look at possible payoffs and likelihood of occurring
- -look at impact of risk on bond’s return relative to rf rate
- default risk
ignore with T-bonds (gov. issued - can print money)
- -list all the possibilties and payoffs that might occur with their probabilities
- -then calculate expected value of promised pmts. - then can find bond’s price and yield
ex. rf = 5%, n = 1 yr. FV = $100 - promise to pay $105 in one year
price = (if risk free and pmt. was certain) = 100 + 5/1.05 = 100
–but what if 10% possibility that company goes bankrupt before pmt. and if defaul investor gets nothing – means 2 possibile payoffs
possibiltiies = full pmt., payoff = $105, probability 90% —> payoff times probability = $105 * ,9 = $94.50
–or 2. default, payoff = $0, probability = 10% —> payoff times probability = 0 * .1 = 0
so expected value of pmt. of bond is $94.50 —> but if pmt. made it is one year from now so need to find P willing to pay today - use risk free rate
P = 94.50 / 1.05 = $90
what is YTM? bond sells for $90 and promised pmt. is $105
i = 105/90 -1 = .1667
default risk premium = promised YTM - rate
–16.67 - 5 = 11.67%
shows investore receives compensation for risk
–inc. default risk = inc. probability bondholders do not receive pmt. = dec. expected value = dec. P and inc. Int. rate
- inflation risk
bondholders interested in REAL intereat rate - not just nominal - and don’t know inflation
–int. rate has 3 components: real int. rates, expected inflation, and compensation for inflation risk
ex. real int. rate = 3%, but not sure on inflation
- -expected inflation = 2% with st. dev. of 1%
- –means nominal int. rate = 3% real interest + 2% expected inflation + compensation for inflation risk
- -inc. inflation risk = inc. compensation
LOOK AT CHART EXAMPLE - cases of expected inflation
–if has higher standard deviation = more risk = more compensation
- interest rate risk
arises fromfact that investors don’t know HPR for long-term bonds
- -int. rates change = bond prices change —> longer term of bond = larger PRICE change for every given change in real int. rate (duration)
- -when there is mismatch btwn inv. horizon and bonds maturity, there is int. rate risk
ex. 2016 i = 8/75%, t-bond that matures 2020 - traded at $132.16 (FV = 100) - when issued in 1990, P = 98.74
- -person who bought and sold 26 years later earned cap. gain of 24%
- -but inv. bought 2.75% cpn 30 yrear bond at 100.69 when issued in 2012 and sold 3 years later in 2016 for 98.31 had cap. loss of 2%
Ch. 7 - interest rate spreads
range of inc. and dec. int. rates - change has huge effect on borrowing costs to corporation
- -ex. Ford and GM - 2009 –> closer to bankruptcy, inc. risk = dec. price ppl willing to pay –led to inc. in interest rates and inc. cost of auto comp. to borrow
- -the bonds we study (gov. and corp) differ in 2 respects: 1. identity of issuer and 2. time to maturity
- default risk - can’t avoid, but mitigate by credit rating
- -used to be NRSROs (national recognized stat. rating organizations) – in 2010 after Dodd Frank wall st. reform and consumer protection act…change to reduce reliance on agencies
Moody’s and standard and poors
2 best bond rating services
- -earn high rates with 1. low levels of debt, 2. high profitability, 3. sizeable arm of cash assets
- -both systems based on letters - AAA highest
- -AAA - BBB inv. grade, BB-B (speculative), CCC-D (highly speculative)
inv. grade = low default risk - usually gov. or stable company
dec. inv. grade = JUNK BONDS - “igh yield bonds” - reminder to get high yields take on lost of risk
- -two types of junk bonds
- -1. fallen angels - were once inv. grade butissuers fell hard (can be corp. or soveriegn (gov.))
- -2. when little is known about issuer
ratings downgrade (upgrade) - dec. rating when business or country is having problems
CP rating char (pg. 169)
1. inv. or prime grade – Moodys (P1-P3)/ S&P (A+1, A-3) - Coca cola, general electric, proctor and gamble
- speculative, elow prime grade = no moody, S&P (B-C)
- defaulted - no moody, S&P (D)
commercial paper
is a short term version of a bond (both corp. and gov.)
- -unsecured bc no collateral (only most credit worthy issuers can use)
- -BaML and Goldman use majority of it
- -issued at DISCOUNT (like T-bill) - zero cpn. with no cpn. pmts.
- -usually mature < 270 days
- -1/3 of all commercial paper held by money-mkt. mutual funds (req. short term assets with immediate liquidity
- -sometimes 5-45 days = short term financing
impact of ratings on yields
bond ratings designed to reflect default risk = inc. P (compensation for risk)
–inc. risk = dec. D = shift left = INC. YIELD
Benchmark bonds - US treasury bc little default risk so use to COMPARE
–yields on other bonds are measured in terms of “spread over treasuries” (risk is measured relative to a benchmark - use US treasury bonds for bonds)
bond yield = US treasury yield + default risk premium
bond yield = risk spread
looked at structure of int. rate groups (pg. 171) shows inc. rates inc. and so did Aaa Baa yields
when a comp. bond rating decreases, the cost of funds goes up - impairing the comp. ability to finance new ventures (bc inc. int. rates - more expensive to borrowers but cheaper bond price to lenders) (pg. 171)
- taxes
bondholders pay income tax from income received from privately issued bonds - TAXABLE BONDS
–But cpn. pmts. on bonds issued by state/local gov. are tax exempt (municipal or tax-exempt bonds)
RULE: interest income on bonds issued by one gov. is not taxed by another gov.
–fed usually taxes for US treasury (but state and local do not)
investors use the AFTER-TAX YIELD to base decisions
tax-exempt bond yield = taxable bond yield (1-tax rate)
inc. tax rate = inc. gap btwn yields on tax and tax-exempt bonds
- maturity term structure of int. rates
term structure of int. rates = relationship among bonds of same risk characteristics but diff. maturities
pg. 174 - compare 3 mo. (blue line) to at year (green) and make conclusions on treasury yields
- int. rates of diff. maturities tend to move together
- yields on short term bonds are more volatile than yields on long term bonds
- long term yields tend to be higher than short term yields
2 reasons to explain
reason 1 - expectations hypothesis
certainty means bonds of diff. maturities are perfect substitutes for each other - so bc bond yield is rf rate + D.R.P. (CAPM) - we have certainty on rf it will return the same whether 1 or 2 yr. (indifferent)
so when int. rates are EXPECTED to inc. in future, long term int. rates are higher than short term – so YIELD CURVE will slope up
- -int. rates expected to fall, yield curve decreases
- -expected to be the same - yield curve = flat
the three graphs with x axis time to maturity and y axis YTM
- -if int. rates expected to rise, upward slope
- -expected to stay same = flat line
- -int. rates expected to fall = downward slope