Q1
(1+i)n * Present value = future value
present value = $36900
future value =214800
i =0.06
n=??
n= log1.06 ( future / present value) = 30.23 years Option C
Q2
Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=$5100[1-(1.10)^-7]/0.10
=$24828.94(Approx).
Present value of annuity due=Present value of annuity*(1+interest rate)
=$24828.94*1.10
=$ 27311.83(Approx)
Hence difference =$27311.83-24828.94
= $ 2483 Option A
Q3
Annual coupon payment = 7.5%*$1,000 = $75
Semi annual payment = $37.5
yield to maturity for semi annual payment =7.68/2 = 3.84 %
Price = $37.5/(1.0384) + $37.5/(1.0384)^2 +$37.5/(1.0384)^3 +
$37.5/(1.0384)^4...+
$37.5/(1.0384)^12
= $991.47 Option B
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