Topic 3 Flashcards
What is future value?
The value on some future date of an investment made today
FV = ?
PV + PV(i) = PV(1+i)
More than one year:
PV(1+i)^n
What is present value?
The value today of a payment that is promised to be made in the future
PV = ?
FV/(1+I)^n
What makes the present value higher? (3)
The higher future value of the payment (FV)
The shorter time period until payment (n)
The lower the interest rate (i)
What are zero-coupon or discount bonds?
Bonds with one single future payment
What are fixed-payment loans?
Type of bond with a sequence of fixed payments
What are coupon bonds?
Periodic interest payments + principal repayment at maturity
How do you calculate the price of a zero coupon bond?
Because it is a single payment on a future date, it’s price is just the present value:
Face value/(1+i)
Price Ida coupon bond?
CP = coupon payment
CP/(1+i) + CP/(1+i)^2…. + CP/(1+i)^n + FV/(1+i)^n
FV = face value here
How to calculate the value of a fixed payment loan?
FP/(1+i) + FP/(1+i)^2 ….. ^n
Here FP is fixed payment
What is nominal yield?
The stated rate of the bond
What is yield to maturity?
The amount the bond holders receive if they hold the bond to its maturity, when the principal payment is made
What is current yield?
The interest rate of the bond given its current price
It measures the part of the return from buying the bond that arises solely from the coupon payments
Current yield equation?
Current yield = yearly payment/price paid