A six-month note for $19300, with interest at 8%, is issued on April 1, 2018. a) What is the maturity value of the note? b) Find the present value on June 20, 2018, if money is worth 7.2%.
Given,
Note value = $19300
Interest rate = 8% or 0.08
Solution :-
(a)
Maturity value of note = Note value x [1 + (interest rate)(6/12)]
= $19300 x [1 + (0.08)(6/12)]
= $19300 x [1 + 0.04]
= $19300 x 1.04 = $20072
(b)
No. of days (n) = 81 days (from April 1, 2018 to June 20,2018)
Interest rate = 7.2% or 0.072
Present value = Maturity value [1 + (interest rate)(n/365)]
= $20072 [1 + (0.072)(81/365)]
= $20072 [1 + 0.01597808]
= $20072 1.01597808 = $19756.33
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