What is the future value of 25 periodic payments of $5,440 each made at the beginning of each period and compounded at 8%? (Roun
1 answer:
Answer:
Explanation:
We would plug the following values in a financial calculator in order to compute the future value,
N = 25
I/Y = = r = 8
PMT = 5440
PV = 0
Fv = ??
FV = PMT x (1 + r )( )
https://www.calculator.net/finance-calculator.html?ctype=endamount&ctargetamountv=1000000&cyearsv=25&cstartingprinciplev=0&cinterestratev=8&ccontributeamountv=5440&ciadditionat1=beginning&printit=0&x=0&y=0
^ Using the financial calculator, FV = $429,512
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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.
