C.4 The Meaning of Interest Rates Flashcards
(32 cards)
Cash flows
Cash payments to the holder of a security
Present value a.k.a.
Present discounted value
Simple loan
Debt repaid to lender at maturity date with a payment of interest
Four types of Credit Market Instruments
- Simple loan
- Fixed-payment loan
- Coupon bond
- Discount bond
Fixed-payment loan (def and a.k.a.)
Repay loan at a fixed payment periodically for a set number of time.
A.k.a. Fully amortized loan
Coupon bond
Pays the owner fixed-interest payment every year until the maturity date when a specified final amount is repaid
What is the final amount paid on a coupon bond known as
Face value or par value
What pieces of information identify a coupon bond
- FV
- Corp or govt that issued the bond
- Maturity date
- Coupon rate
Coupon rate
Dollar amount of the yearly coupon payment expressed as a % of the FV of the bond
Discount bond
Bought at a price below its FV and whose FV is repaid at the maturity date. No interest payments
Discount bond a.k.a.
Zero-coupon bond
Yield to maturity
The interest rate that equates the PV of cash flow payments received from a debt instruments with its value today
Yield to maturity of a simple loan
Simple interest rate
When a coupon bond is priced at its FV, the YTM equals
The coupon rate
The price of a coupon bond and YTM are ______ related
Negatively
The YTM is _____ than the coupon rate when the bond price is below its FV
Greater
Consol (def and a.k.a.)
A perpetual bond with no maturity date and no repayment of principal that periodically makes fixed coupon payments.
A.k.a. a perpetuity
How to calculate price of consol
P_c = C/i_c where, P_c = price of the perpetuity C = yearly payment i_c = YTM of perpetuity
Current yield
An approximation of the YTM that equals the yearly coupon payment divided by the price of a coupon bond
Rate of return
The payments to the owner of a security plus the change in the security’s value, expressed as a fraction of its purchase price.
Eq’n for return on a bond held from time t to time t+1
R = (C + P_t+1 - P_t)/P_t
where,
C = coupon pmt
Rate of capital gain
The change in a security’s price relative to the initial purchase price
Eq’n for rate of capital gain. How can you rewrite R (return) from this?
g = (P_t+1 - P_t)/P_t
R = i_c + g
where,
i_c = C/P_t
What happens when there’s a rise in the interest rate and the term to maturity is longer than their holding periods
Capital losses