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Money & Banking. Chapters 4 & 5 Debt Instruments and Interest Rates. Debt Instruments. Chapter 4. Present Value. What is a future cash flow ( FV ) worth now?. Rule of the Cash Flow Timeline.
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Money & Banking Chapters 4 & 5 Debt Instruments and Interest Rates
Debt Instruments Chapter 4
Present Value What is a future cash flow (FV ) worth now?
Rule of the Cash Flow Timeline Cash flows at the same date can be added together, but cash flows at different dates cannot be added together.
Four Types of Credit Market Instruments 1. Simple loan
2. Fixed Payment, or Amortized, Loan Examples: car loans, mortgages
3. Coupon Bond Most bonds with maturities greater than a year are of this form. Coupons bonds issued by • Federal government (Treasurys) • State and local governments (munis) • Corporations (corporates)
Special Type of Coupon Bond: Consol or Perpetuity Fixed coupon received forever.
4. Discount, or Zero Coupon, Bond Identical in cash flow structure to a simple loan. The difference is that there’s an active secondary market for zero coupon bonds.
Draw cash flow diagrams for the four types of credit instruments. Take the perspective of the lender. Simple loan Annuity/Amortized loan Coupon bond Zero coupon (discount) bond
Semi annual coupon on $1 mil of face value? $66,250.00 Number of coupons remaining? Nov06 … May15 18 Asked price of $1 mil of face value? $1,430,625
Pricing a coupon bond Suppose I need a 4% rate of return. How much would I be willing to pay for $1 million of face value of the bond on the previous slide? (FV=1mil, n=18, i = .02, PMT = 66,250)
Yield to Maturity The rate of discount that equates the present value of future cash flows with the price of the credit instrument.
Calculate the yield to maturity on a consol that pays $100 a year and is priced at $2,500. Recall formula for present value of a consol:
Approximation to Yield to Maturity: Yield on a Discount Basis for Bills
Fisher Equation The nominal (actual) interest rate equals the real rate plus the expected inflation rate.
TIPS (Treasury Inflation Protection Securities) • Originally issued in 1997. • Interest and principal payments are adjusted for inflation. • In times of high inflation the $ amount paid to investors rises. • Return on TIPS provides information on expected inflation.
Supply and Demand Analysis ofthe Bond Market Market Equilibrium 1. Occurs when Bd = Bs, at P* = $850, i* = 17.6% 2. When P = $950, i = 5.3%, Bs > Bd (excess supply): P to P*, i to i* 3. When P = $750, i = 33.0, Bd > Bs (excess demand): P to P*, i to i*
1. Demand for bonds = supply of loanable funds 2. Supply of bonds = demand for loanable funds Loanable Funds Terminology
Factors that Shift the Bond Demand Curve 1. Wealth A. Economy grows, wealth , Bd, Bd shifts out to right 2. Expected Return A. i in future, Re for long-term bonds , Bd shifts out to right B.e, Relative Re, Bd shifts out to right C. Expected return of other assests , Bd, Bdshifts out to right 3. Risk A. Risk of bonds , Bd, Bd shifts out to right B. Risk of other assets , Bd, Bd shifts out to right 4. Liquidity A. Liquidity of Bonds , Bd, Bd shifts out to right B. Liquidity of other assets , Bd, Bd shifts out to right
Shifts in the Bond Supply Curve 1. Profitability of Investment Opportunities Business cycle expansion, investment opportunities , Bs, Bs shifts out to right 2. Expected Inflation e, Bs, Bs shifts out to right 3. Government Activities Deficits , Bs, Bs shifts out to right
If e 1. Bd shifts in to left 2. Bs, Bs shifts out to right 3. P, i Changes in e: the Fisher Effect © 2005 Pearson Education Canada Inc.