Respuesta :
Answer:
Jonathan
The number of units of the 3-year bond that Jonathan should buy is:
3.88 or 3 and 22/25 bonds.
Explanation:
a) Data and Calculations:
Present value of debt = $3,000
Annual effective interest rate = 8%
Total future value of the debt with interest = $3,492.30
Equal annual repayment of the debt = $1,164.10 ($3,492.30/3)
Number of 3-year bond that Jonathan should buy = $3,492.30/$900 = 3.88 or 3 and 22/25 bonds
Time to Maturity Par Value
1 year $1,000
2 years $ 800
3 years $ 900
From an online calculator, the total amount to be paid with interest is $3,492.30:
N (# of periods) 3
I/Y (Interest per year) 8
PV (Present Value) 3000
FV (Future Value) 0
Results
PMT = $1,164.10
Sum of all periodic payments $3,492.30
Total Interest $492.30
Answer:
1.2
Explanation:
Given that we are making 3 Equal Principle Payments on a loan of $3000, the principle that we will repay each year will be [tex]\frac{3000}{3} = $1000[/tex].
First Year:
The interest that we will need to repay during the first year will be 3000*.08 which will be $240 dollars of interest, so we will be paying a total of 1000 + 240, or $1240 for the first year reducing the amount due to $2000.
Second Year:
The interest that we will need to repay during the second year will be 2000*.08 which will be $160 of interest, so we will be paying a total of 1000 + 160, or $1160 which will reduce the amount due $1000.
Third Year:
This is the year that we care for. We have a total interest amount of $80, so we will be paying a total of $1080 for the third year.
Given that the par value of the Zero Coupon bond for the third year is $900, we will need [tex]\frac{1080}{900} = 1.2[/tex] coupons for the final year, giving us our answer of 1.2 3-year bonds that Jonathan should buy.
