Answer:
Par value of T-Bill = 100
TL Discount = 12 TL
Days to Maturity = 255 days
a. Simple yield (assuming simple interest) = (Discount / (Par value - Discount)) * (365 / Days to maturity)
Simple yield = (12 / (100 - 12)) * (365 / 255)
Simple yield = (12 / 88) * 1.431373
Simple yield = 0.136364 * 1.431373
Simple yield = 0.195187747772
Simple yield= 19.52%
So, the Simple Yield of the T-Bill is 19.52%
b. Compounded yield = (1 + (Simple Yield / (365 / Days to maturity))^(365 / Days to maturity) - 1
Compounded Yield = (1 + (0.19519 * (255 / 365)))^365/255 - 1
Compounded Yield = (1 + 0.136364)^1.431373 - 1
Compounded Yield = 1.200787 - 1
Compounded Yield = 0.200787
Compounded Yield = 0.200787
Compounded Yield = 20.08%
So, Compounded Yield of the T-Bill is 20.08%.
