Answer:
1. The nominal interest rate is 16.67%
2. The effective interest rate is 4.17%
Step-by-step explanation:
1.firstly we use the information given:
face value of bill is$100 which is denoted by Fv below.
$96 is the present value Pv of the bill denoted below.
thereafter we have n the number of periods of compounding which is 1 period.
we use the following formula for this problem to find i the nominal interest rate:
then we substitute the above mentioned values.
$100 = $96 ( 1+i/m)^1 divide both sides by $96
(100/96) = 1+ i/4 then subtract both sides by 1
(100/96)- 1 = i/4
0.0416666666667 = i/4 then multiply by 4 both sides as this was compounded quarterly so four times a year then multiply by 100 for percentage.
16.67% = i which is the nominal interest rate
2.
ieffective= (1+16.67%/4)^1 - 1
ieffective = 4.17%