(Related to Checkpoint 5.6) (Solving for

i)

Springfield Learning sold zero coupon bonds (bonds that don't pay any interest, instead the bondholder gets just one payment, coming when the bond matures, from the issuer) and received

$800

for each bond that will pay

$18,000

when it matures in

40

years.

a.At what rate is Springfield Learning borrowing the money from investors?

b.If Nancy Muntz purchased a bond at the offering for

$800

and sold it

15

years later for the market price of

$3,100,

what annual rate of return did she earn?

c.If Barney Gumble purchased Muntz's bond at the market price

($3,100)

and held it

25

years until maturity, what annual rate of return would he have earned?