To calculate the total market value of ROFL's issued bonds, we first need to calculate the present value of the bond's cash flows, which consist of semi-annual coupon payments and the face value payment at maturity.

Step 1: Calculate the semi-annual coupon payment
The coupon payment is calculated as (Face Value * Coupon Rate) / Number of periods per year. In this case, it is ($37,000 * 6%) / 2 = $1,110.

Step 2: Calculate the semi-annual yield
The yield is given as 5% per annum, but since it is compounding semi-annually, we need to divide it by 2. So, the semi-annual yield is 5% / 2 = 2.5%.

Step 3: Calculate the present value of the coupon payments
The present value of the coupon payments is calculated as (Coupon Payment * (1 - (1 + Yield)^-Number of periods)) / Yield. In this case, it is ($1,110 * (1 - (1 + 2.5%)^-26)) / 2.5% = $23,932.68.

Step 4: Calculate the present value of the face value
The present value of the face value is calculated as Face Value / (1 + Yield)^Number of periods. In this case, it is $37,000 / (1 + 2.5%)^26 = $20,758.71.

Step 5: Calculate the market value of a single bond
The market value of a single bond is the sum of the present value of the coupon payments and the present value of the face value. In this case, it is $23,932.68 + $20,758.71 = $44,691.39.

Step 6: Calculate the total market value of all bonds
The total market value of all bonds is the market value of a single bond multiplied by the number of bonds. In this case, it is $44,691.39 * 9,000 = $401,222,510.

So, the total market value of ROFL's issued bonds is approximately $401,222,510.

Question

To calculate the total market value of ROFL's issued bonds, we first need to calculate the present value of the bond's cash flows, which consist of semi-annual coupon payments and the face value payment at maturity.

Step 1: Calculate the semi-annual coupon payment
The coupon payment is calculated as (Face Value * Coupon Rate) / Number of periods per year. In this case, it is ($37,000 * 6%) / 2 = $1,110.

Step 2: Calculate the semi-annual yield
The yield is given as 5% per annum, but since it is compounding semi-annually, we need to divide it by 2. So, the semi-annual yield is 5% / 2 = 2.5%.

Step 3: Calculate the present value of the coupon payments
The present value of the coupon payments is calculated as (Coupon Payment * (1 - (1 + Yield)^-Number of periods)) / Yield. In this case, it is ($1,110 * (1 - (1 + 2.5%)^-26)) / 2.5% = $23,932.68.

Step 4: Calculate the present value of the face value
The present value of the face value is calculated as Face Value / (1 + Yield)^Number of periods. In this case, it is $37,000 / (1 + 2.5%)^26 = $20,758.71.

Step 5: Calculate the market value of a single bond
The market value of a single bond is the sum of the present value of the coupon payments and the present value of the face value. In this case, it is $23,932.68 + $20,758.71 = $44,691.39.

Step 6: Calculate the total market value of all bonds
The total market value of all bonds is the market value of a single bond multiplied by the number of bonds. In this case, it is $44,691.39 * 9,000 = $401,222,510.

So, the total market value of ROFL's issued bonds is approximately $401,222,510.

Knowee AI · Accepted Answer