26 June 2022 11:18

How to calculate holding period returns of a bond if they coupon is reinvested?

How do you calculate the holding period return of a coupon bond?

Holding period return (also called holding period yield) is the total return earned on an investment over its whole holding period expressed as a percentage of the initial value of the investment. It is calculated as the sum capital gain and income divided by the opening value of investment.

How do you find the holding period of return?

Holding period return is the total return received from holding an asset or portfolio of assets over a period of time, known as the holding period, generally expressed as a percentage. Holding period return is calculated on the basis of total returns from the asset or portfolio (income plus changes in value).

How do you calculate the future value of reinvested coupons?

The interest-on-interest formula for reinvested coupon payments assumes the reinvested payments grow at an interest rate equal to the bond’s stated YTM. To calculate this total, raise 1 plus the YTM rate to the nth power, where “n” is the number of payment periods. Subtract 1 and divide by the YTM rate.

What is the holding period return of the bond?

The return on a bond or asset over the period in which it was held is called the holding period return (HPR). There is an active secondary market for bonds. This means that someone could buy a 30-year bond that was issued 12 years ago, hold it for a five-year period, then sell it again.

How do you calculate the holding period return in Excel?

Holding Period Return = [Income Generated + (Ending Value – Initial Value)] / Initial Value

  1. Holding Period Return = [$950 + ($5,500 – $5,000)] / $5,000.
  2. Holding Period Return = 29%

How do you calculate return on investment over a period of time?

ROI is calculated by subtracting the initial value of the investment from the final value of the investment (which equals the net return), then dividing this new number (the net return) by the cost of the investment, and, finally, multiplying it by 100.

What are the two components of the holding period return?

The holding period return (HPR) metric is comprised of two income sources, capital appreciation and dividend (or interest) income.

What is HPR and Hpy?

For investments, the Holding Period Yield (HPY) or Holding Period Return (HPR) refers to the total return earned from an investment or an investment portfolio over the holding period, that is, the period for which the asset or portfolio was held by the investor.

How do you calculate weighted average holding period?

Determine the weighted average exponents of holding period returns of the individual securities with weights equal to the allocation percentages. In EXCEL terms this is calculated as the SUMPRODUCT of the exponents of holding period returns of the individual securities and their allocation percentages.

How do you convert a total return to an annualized return?

To calculate the total return rate (which is needed to calculate the annualized return), the investor will perform the following formula: (ending value – beginning value) / beginning value, or (5000 – 2000) / 2000 = 1.5.

How do you calculate annual rate of return over multiple years?

Divide the value of an investment at the end of the period by its value at the beginning of that period. Raise the result to an exponent of one divided by the number of years. Subtract one from the subsequent result.

How do you calculate rate of return on a bond?

To calculate the annual rate of return on a bond, divide the interest paid, if listed, each year by the purchase price.