The CAPM model says that the expected return of a security or
a portfolio equals the rate on a risk - free security plus a risk premium.
Not exact matches
(In other words, all things being
equal, a
portfolio packed with two - year Treasuries will lose less as
rates move up than one loaded with 10 - year notes.)
Translated from math - speak to English, we're more or less saying, «the monthly returns of the bond
portfolio is
equal to some multiple of
rate changes plus some multiple of credit spread changes.»
In general, bond prices are inversely correlated with market interest
rates — so if I'm holding a bond
portfolio and market interest
rates go up, then my
portfolio will decrease in value assuming all else is held
equal.
With the 50 % stock
portfolio, the Historical Surviving Withdrawal
Rate (HSWR50) equation is HSWR50 = 0.3979 x +2.6434 %, where x = 100 * (E10 / P) or 100 / [P / E10] = the earnings yield in percent and R squared
equals 0.6975.
At the Calculated
Rate, the lowest
portfolio balance
equals (or exceeds minimally) one - half of the initial balance in throughout the entire 30 years.
The resulting
rates of return aren't from taking averages, it's from allocating
equal amounts from the different asset classes into one
portfolio, then rebalancing it on a regular basis, usually once or twice a year.
If your nest egg upon retirement is
equal to 12 times that income, or $ 1.2 million, you could reasonably withdraw $ 48,000 in the first year of retirement, assuming a 4 %
portfolio withdrawal
rate.
Some people use leverage, borrowing money at a low
rate, to be able to buy a larger amount of a low - risk
portfolio, making its beta
equal to that of the index.
The difference in the
portfolios» growth
rates (slope)
equals the 4.2 % return from dividends (= 10.2 % - 6 %).
For nearly every target
rate of return, a diversified
portfolio of minimally - correlated investments can be constructed that will be lower risk than one investment with
equal expected return.
No matter whether you prefer no dividends, some dividends, or large dividends, as long as you presume the dividend growth
rate equals the stock price's growth (by extension the growth in earnings), you always end up with a
portfolio of
equal size.
After a few years, the
portfolio's total return first
equals the return it would have received if
rates were unchanged — then surpasses that
rate.
If we assume that the risk - free
rate is a 3 - month US Treasury (10 - year US Treasury is also common) and
equal to 1.50 %, the
portfolio beta is 1.60 (60 % more systematic risk or volatility than the benchmark), the benchmark has returned 10 % annualized, and the
portfolio return is 20 %, we have:
The
equal - weight reference
portfolio's annualized
rate of return over the 49 - year measurement period outpaced the cap - weighted benchmark return by 1.80 %.
Also called the internal
rate of return, the interest
rate will make the present value of the cash flows from all the sub-periods in the evaluation period plus the terminal market value of the
portfolio equal to the initial market value of the
portfolio.
Each year, one should spend (at most) the amount that a freshly purchased annuity — with a purchase price
equal to the then - current
portfolio value and priced at current interest
rates and number of years of required cash flows remaining — would pay...