Answer:
Balance after 30 years = $151,018.50
Explanation:
In order to calculate this, we will calculate the future value on an amount invested, gaining interest over the years of investment, and this is given by:
where:
FV = future value
PV = present value
r = interest rate
t = time in years.
Hence the future value is calculated as follows:
1. For the first 10 years at 7% interest:
7% interest = 7/100 = 0.07
2. For the last 20 years at 9.5%(0.095) interest:
Note that for the remaining 20 years, the present value (PV) used = 24,589.392, as ending balance after the first 10 years
Total Future value earned = $151,018.50
Answer:
The answer is option D
Explanation:
The bond can be issued at par, at a discount or at a premium depending on the coupon rate and the market interest. The price of the bond which pays semi annual coupon can be calculated using the formula of bond price. The formula to calculate the price of the bond is attached.
First we need to determine the semi annual coupon payment, periods and YTM.
Semi annual coupon payments = 2000000 * 0.1 * 6/12 = 100000
Semi annual periods = 5 * 2 = 10
Semi annual YTM = 0.08 * 6/12 = 0.04
Bond Price = 100000 * [(1 - (1+0.04)^-10) / 0.04] + 2000000 / (1+0.04)^10
Bond Price = $2162217.916
The price of the bond is thus $2162290 approx. The difference in answers is due to rounding off.
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