The minimum level of exercise required to achieve some health benefits is termed ________
1 answer:
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Answer:
a.
Bond Price = $563,333.90007 rounded off to $563,333.90
b.
Bond Price = $502500
c.
Bond Price = $437232.16025 rounded off to $437232.16
Explanation:
To calculate the quote/price of the bond today, which is the present value of the bond, we will use the formula for the price of the bond. As the bond is a semi annual bond, we will use the semi annual coupon payment, semi annual number of periods and semi annual YTM. The formula to calculate the price of the bonds today is attached.
a. Case A: Market interest rate (annual): 4 percent
Coupon Payment (C) = 502500 * 0.06 * 6/12 = $15075
Total periods remaining (n) = 7 * 2 = 14
r or YTM = 4% * 6/12 = 0.02 or 2%
Bond Price = 15075 * [( 1 - (1+0.02)^-14) / 0.02] + 502500 / (1+0.02)^14
Bond Price = $563,333.90007 rounded off to $563,333.90
b. Case B: Market interest rate (annual): 6 percent
Coupon Payment (C) = 502500 * 0.06 * 6/12 = $15075
Total periods remaining (n) = 7 * 2 = 14
r or YTM = 6% * 6/12 = 0.03 or 3%
Bond Price = 15075 * [( 1 - (1+0.03)^-14) / 0.03] + 502500 / (1+0.03)^14
Bond Price = $502500
c. Case C: Market interest rate (annual): 8.5 percent.
Coupon Payment (C) = 502500 * 0.06 * 6/12 = $15075
Total periods remaining (n) = 7 * 2 = 14
r or YTM = 8.5% * 6/12 = 0.0425 or 4.25%
Bond Price = 15075 * [( 1 - (1+0.0425)^-14) / 0.0425] + 502500/(1+0.0425)^14
Bond Price = $437232.16025 rounded off to $437232.16
<u>Answer:</u> The rate of interest per year is 18.49 %.
<u>Explanation:</u>
To calculate the rate of interest, we use the equation:
where,
Interest paid = $ 53.95
Amount borrowed = $ 700
Rate of interest = ?
Time = 5 months = (Conversion factor: 1 yr = 12 months)
Putting values in above equation, we get:
Hence, the rate of interest per year is 18.49 %.