Example: Accrued interest
An investor buys a $1,000 par value, 4% annual-pay bond that pays its coupons on May 15. The investor’s buy order settles on August 10. Calculate the accrued interest that is owed to the bond seller, using the 30/360 method and the actual/actual method.
Answer:
The annual coupon payment is 4% × $1,000 = $40.
Using the 30/360 method, interest is accrued for 30 – 15 = 15 days in May; 30 days each in June and July; and 10 days in August, or 15 + 30 + 30 + 10 = 85 days.
accrued interest (30/360 method) = 85/360 × $40 = $9.44
Using the actual/actual method, interest is accrued for 31 – 15 = 16 days in May; 30 days in June; 31 days in July; and 10 days in August, or 16 + 30 + 31 + 10 = 87 days.
accrued interest (actual/actual method) = 87/365 × $40 = $9.53
My calculator inputs into the Bond worksheet:
SDT= 8-10-2021
CPN= 4.00
RDT= 5-15-2022
RV= 1,000
ACT
1/Y
YLD= 138,128.33
PRI= 1.962-13
AI= 0.9534
Why am I not receiving the correct answer for AI in the calculator’s Bond worksheet?