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Chapter3. Fixed-Income Securities || Part1 본문

20-1 대학 수업/금융공학

Chapter3. Fixed-Income Securities || Part1

incastle 2020. 4. 14. 14:49

Definitions

  • Financial instruments : Market items are not real goods (no intrinsic value, 무형 자산) but instead are traded as only as pieces of paper or as entities in a computer database

  • Security(증권): Instrument that can be freely and easily traded due to a well- developed market for the instrument

  • Fixed-income securitiesFinancial instruments that are traded in well- developed markets and promise a fixed income to the holder over a span of time
    •  Fixed-income securities are important because they define the market for money

3.1 The Market for Future Cash

 

Fixed-income securities

  • Only uncertainty is whether the issuer of the security might default
    유일한 불확실성은 발행자가 채무 불이행을 할 때임

  • Some fixed-income securities promise cash flows tied to various contingencies or fluctuating indices
    일부 fixed-income securities는 다양한 우발 상황 또는 변동 지수와 관련된 현금 흐름을 약속함

Savings Deposits(저축 예금 계좌)

  • Bank deposit is probably the most familiar fixed-income instrument

Mortgages

  • Mortgage looks like the opposite of a bond

  • Future homeowner sells a home mortgage to generate immediate cash to pay for a home and is obligated to make periodic payments to the mortgage holder
    미래 주택 소유자는 주택 담보 대출을 판매하여 주택에 지불 할 현금을 즉시 창출하며 주택 담보 대출 소유자에게 정기적으로 지불해야합니다

  • Standard mortgage is structured so that equal monthly payments are made throughout its term (in contrast to bonds that pay face value at maturity)

Annuities(연금)

  • Annuity: Contract that pays the holder (annuitant) money periodically according to a predetermined schedule or formula over a period of time
    일정 기간 동안 미리 정해진 일정이나 공식에 따라 보유자에게 정기적으로 지불하는 계약

  • Annuities are not securities since they are not traded, but are considered to be investment opportunities (serve the same role as other fixed-income securities)

 

3.2 Value Formulas

 

Perpetual annuity(perpetuity)

Finite-Life Streams

  • 영원히 반복되는 게 아니라, 끝이 있다면?

  • Note that r is expressed as a per-period interest rate

  • Annuity formula is also used in the reverse direction => Determines the periodic payment that is equivalent to an initial payment of P

  • Amortization(할부 상환): Process of substituting periodic payments for a current obligation (e.g. amortize the cost of an automobile over 5 years by taking out a 5-year loan)
    할부 상환 : 현재의 채무를 정기적으로 대체하는 절차 (예 : 5 년 동안 대출을 받아 5 년 이상 자동차 비용을 상각)

3.3 Bond Details

 

Bond

  • Obligation by the bond issuer to pay money to the bond holder according to rates specified
    지정된 요율에 따라 채권 발행인이 채권 보유자에게 돈을 지불 할 의무

  • Bonds represent the greatest monetary value of fixed-income securities and are the most liquid of these securities
     채권은 고정 수입 증권의 가장 큰 금전적 가치를 나타내며 이러한 증권 중 가장 유동적입니다

  • Most bonds pay periodic coupon payments

  • Most bonds are sold either at auction or through an exchangePrice is determined by a market and thus may vary constantly

Bond Coupons

  • Last coupon date corresponds to the maturity date, so that last payment is equal to the face value plus the coupon value

  • Coupon amount is described as a percentage of the face value
    Example: 9% coupon bond with a face value of $1,000 will have a coupon of $90 per year

Quality Ratings

  • Bonds with low rating will have a lower price May be good investment opportunity if the default risk can be diversified

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