January 2007
The following is a list of terms from the convertible
details page and their respective definitions.
If you have any further questions on these terms please call us at
Input |
Definition |
Current Yield |
The coupon divided by the convertible price. |
Conversion Premium |
The percent difference between the convertible price and the
parity. |
Break Even |
Break Even is number of years to the cash flow date where the income less expense equals or exceeds the point premium; where income = coupons + (div cash pass
thru) * conversion ratio * spot FX rate and expense = dividend * conversion ratio * spot FX rate. The Break Even Outright assumes the
investor is short 100% of the underlier and the
Break Even Hedge assumes the investor is Delta neutral. |
Hard Call Protection |
Number of years until the convertible becomes callable by the
issuer. |
Soft Call Eff. Trigger/Years |
A probability-weighted calculation is performed to determine how
high, on average, the stock price will have to be if is it is constrained to
be above the soft call trigger level for (say) 20 out of 30 trading days. This yields an Effective Trigger which is the equivalent trigger
price the parity must attain if the soft call were based on a knock-out. The Effective Trigger therefore depends on the stock volatility. "Years" is the number of years the soft call is in
effect. |
Median Exp Life |
The average time that the convertible is expected to survive. It is calculated as a probability weighted average based on the
following outcomes (a) redemption (b) voluntary conversion
(c) call by issuer (either for cash or force a conversion) (d) put by
investor. |
Yield to Put |
The discount rate that equates the current market price with the
present value of the expected future cash flows. The cash flows consist of the coupon
payments and put price. |
Yield to Call |
The discount rate that equates the current market price with the
present value of the expected future cash flows. The cash flows consist of the coupon
payments and call price. |
Yield to Maturity |
The discount rate that equates the current market price with the
present value of the expected future cash flows. The cash flows consist of the coupon
payments and the redemption amount. |
Stock Yield |
The current IAD (Indicated Annual Dividend, see below) divided
by the current stock price. |
Ex-Dates Conv/Stock |
The ex date of the next payable dividend on the convertible/underlying
stock. |
Parity |
What the investor would receive if they converted the
convertible now. Parity = Stock Price
* Free Ratio + Cashback |
Pt. Premium |
Point Premium is the difference between the convertible price and
the parity expressed in bond points. |
Fair Value |
Theoretical price of the convertible calculated using the stock
price, assumed spread, volatility, div assumptions and borrow cost. If the convertible is quoted without accrued interest (typical
for bonds) in the market, the Fair Value does not include accrued interest. |
% Cheap |
Theoretical value less market price expressed as a percentage of
theoretical value. A negative number indicates a market price above
theoretical value. |
Investment Value |
What the convertible will be worth if the stock price goes to
zero. If the bankruptcy mode is on,
the investment value is the present value of the cash flows to the next
put/maturity. |
% Premium |
The percent difference between the Convertible price and the
Investment Value. |
Delta Hedge |
This is the Per-Share Delta or hedge ratio. This number is used to determine the number
of shares to hedge. Delta Hedge * Conversion Ratio * .01 * Convert Position = Shares
of common to hedge |
Delta Outright |
This is the Per-Bond Delta expressed in percentage terms for a
1% move in the underlying stock. For
outright investors, this is the expected price participation of the
convertible in the movement of the stock price. |
Gamma 1% |
This is the expected change in the per-share delta for a 1%
increase in the stock price. |
|
This is the expected change in the theoretical value for a 1 bps
increase in interest rates multiplied by 100 for readability. (For
floating-rate convertibles, the projected coupons are recalculated.) |
Vega 1pt / 1% |
The expected change in the theoretical value for a 1pt/1%
increase in the volatility assumption. |
Credit Spread (100bps) |
The expected change in the theoretical value for a 1 bps
increase in the credit spread assumption multiplied by 100 for readability. |
Div Yld (1%) |
The change in the theoretical value of the convertible for a 1%
increase in the stock yield. |
Borrow Cost (100bps) |
The change in the theoretical value of the convertible for a 100
bps increase in the borrow cost where borrow cost is the (Finance Rate –
Rebate Rate + Stock Loan Fee). |
Implied Spread |
The spread implied by the stock price, assumed volatility and
the market price of the convertible. |
Implied Vol |
The volatility implied by the stock price, assumed spread and
the market price of the convertible. |
Implied Delta |
The Per-Share Delta (i) using the
implied spread and the assumed volatility and (ii) using the implied
volatility and the assumed spread. |
Assumed Spread |
The spread in basis points over the chosen yield curve to value
the convertible security determined by the company’s credit worthiness. |
Assumed Vol |
The annualized risky volatility in % used to value the
convertible security. |
Call Adjustment |
Setting the call adjustment to Parity+ and putting a number of
20 will make the model value the convertible such that the issuer will not
call the convertible until the parity is at least 20% above the call
price. NCL stands for Non Call Life. |
Borrow Cost |
Finance Rate – Rebate Rate + Stock Loan Fee Where the Finance Rate is the rate which your broker charges you
to finance the convertible and the Rebate Rate is the rate used to calculate
the rebate on your short-sale proceeds and the Stock Loan Fee is the rate the
broker charges you for borrowing the stock. |
IAD |
Indicated Annual Dividend. The page will default to the current
indicated annual dividend of the underlying stock. You may change this to
simulate dividend increases/decreases.
The IAD is only used in valuation when Continuous is selected under
Div Type. |
Risky Model |
The Kynex recommended methodology to calculate the Fair
Value and greeks. The stock growth is at the risky rate, the discounting of
the cash flows is also at the risky rate. |
Bond + Option |
Alternative methodology to calculate the Fair Value and greeks. The convertible is divided into a "straight bond" and
a call option. The straight bond is valued at the risky rate, and the option is
valued using the risk-free rate. Kynex does not recommend this methodology. It is supported for
historical reasons. |
Blended |
Alternative methodology to calculate the Fair Value and greeks. The convertible is visualized as interpolating from a straight bond
(at zero parity) to a pure equity call option (infinite parity). The applicable interest rate is interpolated between risky (at
zero parity) to risk-free (infinite parity). Kynex does not recommend this methodology. It is supported for
historical reasons. |
Stock Spread |
You can specify the spread to grow the stock in the finite
difference grid. Input the same value
as the assumed spread to value the convertible risky/risky (recommended), 0 for
risk-free risky, or something else for a custom setting. |
Bankruptcy |
Enable the bankruptcy model to simulate risk-of-default for a
convertible. For more
details click here. |
Inv. Screwed |
This flag tells the convertible valuation model if the investor
will receive a coupon payment if the bond has been called for redemption
effective on the interest payment date.
If the box is checked it indicates to the model that the investor is
getting screwed out of the coupon and will not receive the interest
payment. If the box is unchecked the
investor will receive the interest payment if the convertible is called for
redemption and the investor is forced to convert on the interest
payment date. |
Call Effective Date |
If a bond is called, this is the date on which the call is
effective. This box will not be filled for partial redemptions. You can use
this input to value convertibles to simulate expected future call by the
issuer. |
Div Prot |
Allows user to value the bonds with or without the dividend
protection feature. For bonds that do
not have the dividend protection feature, this input should have no effect on
valuation. |
Div Type - Continuous |
A methodology for including dividends in the valuation model. The dividend payments are applied continuously over time. The stock yield is calculated using the IAD (Indicated Annual
Dividend) and spot price. The stock yield is then applied to determine a dividend amount
at every (stock,time) node
in the valuation grid. |
Div Type - Discrete |
A methodology for including dividends in the valuation model. The dividend payments are applied at specific dates (supplied in
the dividend schedule). The dividend amount can be a fixed number, or a proportional
amount. In the latter case the dividend payment will be proportional to
the stock price at the nodes in the valuation grid on the specified dates. |
CashCallParity |
Issuer will call the convertible if parity is below a specified
level. Entering 95 in this box will
say the issuer will call if parity is between 95% and 85.5% (90% of 95) of
the nominal (or accreted value, for accreting bonds). |
Trg Days |
Convertible securities that are provisionally callable usually
require the stock price to close above the trigger price for a pre-set number
of days (x) out of yet another pre-set number of days (y), such as 20 out of
30, 15 out of 20, etc. This field specifies
x days out of the given y days. |