Converting among EAR, HPY, and MMY

Assume the price of a $10,000 T-hill that matures in 150 days is $9,800. The quoted money market yield is 4.898%. Compute the HPY and the EAR.

hpr(ev = 10000, bv = 9800)

[1] 0.02041

mmy2hpr(mmy = 0.04898, t = 150)

[1] 0.02041

hpr2ear(hpr = mmy2hpr(mmy = 0.04898, t = 150), t = 150)

[1] 0.05039

ear2hpr(ear = hpr2ear(hpr = mmy2hpr(mmy = 0.04898, t = 150), t = 150), t = 150)

[1] 0.02041