FIN 4324 FINAL Flashcards
(114 cards)
• Firms demand funds, investors supply funds
Supply curve shifts to the right and the return on funds drops.
• Firms supply Bonds, investors demand bonds.
Demand curve shifts to the right, price of bonds increases.
Macaulay’s Duration
- Find the current price of the bond. Calculate the PV of the cash flow at each year, multiply each cash flow by the year, add them all together and divide by the current price.
Qualities of Macaulay’s Duration:
o Measures Economic Payback (recovery of investment)
o Measures Interest Rate Risk
Properties of Macaulay’s Duration:
Duration of a zero-coupon bond = its maturity
Longer maturity = larger duration
Higher Coupon rate = smaller duration
Higher Yield = Smaller Duration
Convexity
- For large changes in yield: % price change not the same for increases vs. decreases in yield.
o % price increase > % price decrease
o “convexity adjustment needed for accurate estimate in price changes
- Duration GAP used to calculate the sensitivity of profits to changes in interest rates:
Chang in profits = -Adjusted DGAP * Assets * %ChangeRates
Change in ROA = Change in Profits / Assets
Change in ROE = Change in Profits / Equity
- Benefits of DGAP:
o NPV based
o Duration accounts for cash flows before and at maturity
- Shortcomings of DGAP:
o Doesn’t account for convexity
o Since durations change over time, must be recalculated.
o More costly than repricing GAP.
o On balance Sheet hedging (Liability Sensitive Banks)
Shorten its assets, use more variable rate loans, lengthen its liabilities, use more fixed-rate liabilities.
Banks might not want shorter term assets, or longer term liabilities because they would affect the banks liabilities.
- Liability sensitive banks can:
o On balance Sheet hedging (Assets-Liability Management)
o Hold more equity capital
Cushion against potential losses, expensive funding
o Hedge off-balance Sheet
- Benefits of derivatives:
o Provide price information
o Allow risk to be managed and shifted among market participants
o Reduce transaction costs
Forward Contracts
- Bilateral Contract: One party buys and other sells a specific quantity if an asset at a set price on a set date in the future. (OTC)
Payoff of Forward Contracts
o If Exp. Future price of the asset goes up, the right to buy will have positive value, right to sell negative.
o If exp. Future price of the asset falls, right to buy will have negative value, right to sell positive.
Purpose of Forward Contracts
o Hedge a risk they already have, by eliminating uncertainty about the price of an asset they plan to buy or sell.
o Some parties may enter the contract as a speculation on the future price.
- Forward rate Agreements (FRAs) (Eurodollar forward contracts)
o Can be viewed as a forward contract to borrow/lend money at a certain rate at a future date
o OTC contract
- Find the PV of the payout or loan savings
Future Markets and Contracts:
- Similar to forwards:
o Deliverable or cash settlements
o Contract valued at 0 at the time it is created. - Differences:
o Futures trade on organized exchanges, forwards are private and do not trade
o Futures, are marked to market; contract price adjusted each day
o Highly standardized vs customized forward contracts
o A single clearinghouse is the counterparty to all futures contracts; forwards are contracts with the originating counterparty
o The government regulates futures markets; forward contracts are not regulated.
- Treasury Bill Futures
o Launched in 1976, first interest rate futures contract
o Based on 90-day U.S. T-Bill
o One T-bill Future equals $1,000,000
o Barely active today, too much regulation and influence from U.S. gov’t policies, budget deficits, gov’t funding plans, politics and Fed monetary policy.
o Eurodollar contract is considered more important, reflects the interest rate on a dollar borrowed by a high-quality private borrower.
- Eurodollar futures
o $1,000,000 notional principal of 90-day Eurodollars.
o Underlying rate is on a 90-day dollar-denominated time deposit issued by a bank in London
o Cash Settlement
o Minimum tick size is $25 (=$1,000,000[0.0001(90/360)])
- Treasury Bond Futures
o Face value of $100,000
o Traded for treasury bonds with a minimum maturity of 15 years and with any coupon
o Deliverable contract, a conversion factor is used to adjust the long’s payment at delivery so that the more valuable bonds receive a higher payment.
o Minimum tick size is 1/32, which is $31.25
- You expect interest rates to rise:
o Cost of selling deposits and cost of borrowing in the money market will rise.
o The value of existing bonds and fixed-rate loans will decrease.
o To offset expected losses, you sell bond futures contracts (short hedge)
- You expect interest rates to fall.
o Fixed-rate, long-term deposits will have to be invested in loans and securities bearing lower yields
o To offset expected losses, you buy bond futures contracts (long hedge).
- You are asset-sensitive or with negative Duration GAP.
o A decrease in interest rates will incur losses.
o To offset expected losses, you buy bond futures contracts (long hedge).
- You are liability-sensitive or with positive Duration GAP.
o An increase in interest rates will incur losses.
o To offset expected losses, you sell bond futures contracts (short hedge)