Answer: option A is the correct option.
Cash price = 106.00
Explanation:
Cash price = quoted price + accrued interest
CP = Qp + I ..........................(1)
Quoted price = 105
Accrued interest = ?
STEP1 : FIND INTEREST;
Because the interest is not compounded
Accrued Interest = PRT ..........(2)
P= principal ( the face value)
R = rate per annum
T= period
P= 100
Since the period of payment of the face value was from April 1 to October 1 that means the period is 180 days, that means the 12% rate per annum (360 days), should be 6% rate per halve annum (180 days).
Therefore;
R = 6%
Since rate is applied every 30 days of the period which is 30/360 for an annum. Our period is 180 that's means rate will be applied to 30/180.
Therefore;
T = 30/180
Therefore using equation 2
I = 100 × 6% × (30/180) = 1.00
Accrued interest= 1.00
STEP 2: FIND CASH PRICE
using equation 1
Cash price = 105 + 1.00 = 106.00