Quiz 2 Notes Flashcards
Present value
a dollar paid to you one year from now is now less valuable than a dollar paid to you yesterday because a deposited dollar earns interest
Simple present value calculation
PV=CF (future cash flow)/ (1+i)^n
what are the 4 types of credit market instruments
simple loans, fixed payments, coupon bonds, discount bonds
yield to maturity
the interest rate that equates PV of cash flow payments received from a debt instrument with its value today
use the present equation and solve for i
for simple loans what does interest rate equal
the yield to maturity
Fixed payment loans
same cash flow payment every period throughout life of the loan
LV for fixed payment loans
LV= (FP/1+i) + FP/(1+i)^n
Coupon bond
same strategy as fixed payment loans
how to find price of coupon bond
p=(c/ 1+i) + (c/1+i)^2+….+(c/1+i)^n + (F/(1+i)^n
C= yearly coupon payment
F=face value of bond
n= years to maturity date
when a coupon bond is priced at its face value
yield to maturity equals coupon rate
relationship between price of coupon bond and yield to maturity
negatively related
when is yield to maturity is greater than coupon rate
when bond is priced above face value
What is a perpetuity
a bond with no maturity date that does not repay principle but pays fixed coupon payments forever
equation for a perpetuity
P=c/ic
Pc= price of consol
C= yearly interest payment
Ic= yeild to maturity of consol
if you rearrange you get current yield it is an easy to calculate approximation to yield to maturity
rate of return
payments to the owner plus the change in value expressed as a fraction of purchase price
RET
c/pt + p(t+1)-pt/pt
RET: return from holding bond from time t to time t+1
current yield
Ic=c/pt
Rate of capital gains
g=P t+1 -pt/pt
what does return equal
maturity but only if the holding period equals time to maturity
a rise in interest rates is associated with a _____ in bond prices
fall in bond prices which results in capital loss if time to maturity is longer than holding period
more distant a bonds maturity is
the greater the size of percentage price change associated with an interest rate change, the more distant the bonds maturity the lower the rate of return that occurs as a result of an increase in interest rate
discount bond
for any one year discount bond i=F-P/P
yield to maturity for a discount bond
equals increase in price over the year divided by initial price
for a discount bond how is maturity related to current bond price
yield to maturity is negatively related to current bond price as the same w a coupon bond