Sam takes a five-dollar bill from his wallet. He exchanges the bill for four quarters and four one-dollar bills. He then uses th
1 answer:
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Answer:
2.11%
YTM 0.089142162
YTC 0.068070103
Difference: 0.021072059 = 0.0211 = 2.11%
Explanation:
To calculate each rate we must solve for a rate at which the future coupon payment and maturity (or call value) equals the market price:
This is solve for excel and goal seek tool
It could also be solve with a financial calculator
YTC:
Coupon payment: $ 120
time 5 yeaars
rate 0.068070103 (solved with excel)
PV $494.5766
Maturity: $ 1,050 (call price)
time 5.00
rate 0.068070103
PV 755.42
PV c $494.5766
PV m $755.4235
Total $1,250.0002
YTM:
Cuopon payment: $ 120
time 15 years
rate 0.089142162 (solved with excel)
PV $972.2006
Maturity $ 1,000.00
time 15 years
rate 0.089142162 (solved with excel)
PV 277.80
PV c $972.2006
PV m $277.7995
Total $1,250.0001