Suppose That the Current One-Year Rate (One-Year Spot Rate) and Expected

Suppose that the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows:
₁R₁ = 5 percent,
E(₂r₁) = 7 percent,
E(₃r₁) = 7.5 percent
E(₄r₁) = 7.85 percent
Using the unbiased expectations theory, calculate the current (long-term) rates for one-year and two-year-maturity Treasury securities.

A) one-year: 5.00 percent,two-year: 5.50 percent
B) one-year: 5.00 percent, two-year: 6.00 percent
C) one-year: 5.50 percent, two-year: 6.15 percent
D) one-year: 5.50 percent, two-year: 5.75 percent