Interest rate (with changing years). Keiko is looking at the following investment choices and wants to know what annual rate o
1 answer:
Answer:
a. 5.18%;
b. 10.12%;
c. 6.32%;
d. 9.22%.
Explanation:
We apply the formula of Annual rate of return to calculate for the four cases.
The formula for calculating annual rate of return as below:
Annual rate of return = -1 ;
So, for each of the case given, by applying the formula, the detailed calculations for each case will be:
+ For case a :
= 5.18%;
+ For case b:
= 10.12%;
+ For case c:
= 6.32%;
+ For case d:
= 9.22%.
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Answer:
Answer is explained in the explanation section below.
Explanation:
It's necessary to remember that the value of fixed-rate bonds is inversely proportional to the level of interest rates. The value of the bond decreases as interest rates rise; moreover, the value of the bond rises as interest rates fall. A Bond with a lower coupon sells for less than its face value. When the going rate of interest is higher than the coupon rate, this condition arises. The value of the asset would increase over time. A higher coupon bond is one that sells for a higher price than its face value. When the going rate of interest is lower than the coupon rate, this condition arises. Its value will gradually decrease until it reaches its maturity value. A par value bond that sells at par, with a coupon rate equal to the current interest rate. The coupon is usually set at the going market rate on the day the bond is sold, so it sells at par at first.
Calculations:
C = Coupon Payments = $60 (Par Value x Coupon Rate)
n = number of years = 10
i = market rate or required yield = 7% = 0.007
K = number of coupon payments in 1 year = 1
P = value at maturity or par value = 1000
Present value of ordinary annuity formula:
Bond Price = C/k * +
Just plug in the values and you will get:
Bond Price = 60 x 7.02 + 508.35
Bond Price = 421.41 508.35
Bond Price = $929.76
Similarly,
Data:
C = Coupon Payments = $60 (Par Value x Coupon Rate)
n = number of years = 10
i = market rate or required yield = 7% = 0.007
K = number of coupon payments in 1 year = 2
P = value at maturity or par value = 1000
Present value of ordinary annuity formula:
Bond Price = C/k * +
Just plug in the values and you will get:
Bond Price = 30 x 14.21 + 502.57
Bond Price = 426.37 + 502.57
Bond Price = $928.94