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 An 11% coupon bond with annual payments and 10
years to maturity is callable in 3 years at a call price
of $1,100. If the bond is selling today for 975, the
yield to call is:
PROBLEMA
 A coupon bond that pays interest annually has a
par value of $1,000, matures in 5 years, and has a
yield to maturity of 10%. What is the value of the
bond today if the coupon rate is 8%?
 Question 7 - #96114
 Your answer: A was correct!
 FV = 1,000
 N = 5
 I = 10
 PMT = 80
 Compute PV = 924.18.
 This question tested from Session 15, Reading 54,
LOS a.
PROBLEMA
 Assume a city issues a $5 million bond to build a
hockey rink. The bond pays 8% semiannual interest
and will mature in 10 years. Current interest rates
are 6%. What is the present value of this bond?
 Your answer: A was correct!
 Since current interest rates are lower than the
coupon rate the bond will be issued at a premium.
FV =
 $5,000,000; N = 20; I/Y = 3; PMT =
(0.04)($5,000,000) = $200,000. Compute PV = $-
5,743,874
 This question tested from Session 15, Reading 54,
LOS a.
PROBLEMA
 Tony Ly is a Treasury Manager with Deeter Holdings, a
large consumer products holding company. The
Assistant
 Treasurer has asked Ly to calculate the current yield
and the Yield-to-first Call on a bond the company holds
that
 has the following characteristics:
 7 years to maturity
 $1,000 face value
 7.0% semi-annual coupon
 Priced to yield 9.0%
 Callable at $1,060 in two years
 If Ly calculates correctly, the current yield and yield to
call are approximately:
 Your answer: A was incorrect. The correct answer was B)
 To calculate the CY and YTC, we first need to calculate the
present value of the bond: FV = 1,000, N = 14 = 7 A—
 2, PMT = 35 =(1000 A— 0.07)/2, I/Y = 4.5 (9 / 2), Compute
PV = -897.77 (negative sign because we entered the
 FV and payment as positive numbers).
 Then, CY = (Face value A— Coupon) / PV of bond = (1,000
A— 0.07) / 897.77 = 7.80%.
 And finally, YTCA calculation: FV = 1,060 (price at first call),
N = 4 (2 A— 2), PMT = 35 (same as above), PV = -
 897.77 (negative sign because we entered the FV and
payment as positive numbers), ComputeI/Y = 7.91
(semiannual
 rate, need to multiply by 2) = 15.82%.
PROBLEMA
 Randy Harris is contemplating whether to add a
bond to his portfolio. It is a semiannual, 6.5% bond
with 7 years
 to maturity. He is concerned about the change in
value due to interest rate fluctuations and would like
to know the
 bond’s value given various scenarios. At a yield
to maturity of 7.5% or 5.0%, the bond’s fair
value is closest to
 Given a YTM of 7.5%, calculate the value of the
bond as follows:
 N = 14; I/Y = 7.5/2 = 3.75%; PMT = 32.50; FV =
1,000; CPT → PV = 946.30
 Given a YTM of 5.0%, calculate the value of the
bond as follows:
 N = 14; I/Y = 5/2 = 2.5%; PMT = 32.50; FV = 1,000;
CPT → PV = 1,087.68
EMISIÓN DE BONOS TITULIZADOS
ESTRUCTURADOS TIANA
La mayor parte del
capital se deposita
en una institución
financiera con
calificación AAA, en
una proporción
calculada para que,
al sumar los
intereses, equivalga
por lo menos al
90% del nominal del
bono más la prima
de las opciones.
Una pequeña
cantidad del dinero
recibido por los
compradores de los
bonos se invierte en
opciones
apalancadas sobre
acciones,
commodities, ETFs
o índices de renta
fija generados por
una institución con
grado de inversión.
Capital protegido:
- Primer Programa:
90%-110%
Se prioriza al sector
no institucional
TIANA -Titulización de Activos con Nominal
Asegurado
EMISIÓN DE BONOS TITULIZADOS
ESTRUCTURADOS TIANA
Si un inversionista entrega
$1,000 (monto mínimo de
inversión), una parte, por
ejemplo $900, va a un
depósito a plazo fijo en un
banco, que al cabo de dos
años (vencimiento del
bono) valdrá $1,000 (por
los intereses ganados).
Los $100 restantes se
usan para comprar una
opción sobre algún
instrumento financiero
como un ETF (Exchange
Traded Fund), una acción
o un commodity. El
rendimiento de este activo
determinará la ganancia
del inversor.
EMISIÓN DE BONOS TITULIZADOS
ESTRUCTURADOS TIANA
PRIMER PROGRAMA Primera Emisión Segunda
Emisión
Tercera Emisión
Fecha de Colocación 08/02/2013 19/04/2013 20/09/2013
Monto Colocado S/. 103,160,000 S/. 38,336,000 S/. 23,253,000
Número de Partícipes 322 113 166
Moneda Nuevos Soles Nuevos Soles Nuevos Soles
Valor Nominal 1000 1000 1000
Instrumento
Subyacente
100% Depósito
BCP
100% Depósito
BCP
100% Depósito BCP
Activo Subyacente JP Morgan ETF
Efficiente 5
JP Morgan ETF
Efficiente 5
BNP Paribas GURU
Global Emerging 6% vol
.target
Plazo 2 años 2 años 2 años y 3 meses

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aplicaciones mate financiera.pptx

  • 1.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.  An 11% coupon bond with annual payments and 10 years to maturity is callable in 3 years at a call price of $1,100. If the bond is selling today for 975, the yield to call is:
  • 8.
  • 9. PROBLEMA  A coupon bond that pays interest annually has a par value of $1,000, matures in 5 years, and has a yield to maturity of 10%. What is the value of the bond today if the coupon rate is 8%?
  • 10.  Question 7 - #96114  Your answer: A was correct!  FV = 1,000  N = 5  I = 10  PMT = 80  Compute PV = 924.18.  This question tested from Session 15, Reading 54, LOS a.
  • 11. PROBLEMA  Assume a city issues a $5 million bond to build a hockey rink. The bond pays 8% semiannual interest and will mature in 10 years. Current interest rates are 6%. What is the present value of this bond?
  • 12.  Your answer: A was correct!  Since current interest rates are lower than the coupon rate the bond will be issued at a premium. FV =  $5,000,000; N = 20; I/Y = 3; PMT = (0.04)($5,000,000) = $200,000. Compute PV = $- 5,743,874  This question tested from Session 15, Reading 54, LOS a.
  • 13. PROBLEMA  Tony Ly is a Treasury Manager with Deeter Holdings, a large consumer products holding company. The Assistant  Treasurer has asked Ly to calculate the current yield and the Yield-to-first Call on a bond the company holds that  has the following characteristics:  7 years to maturity  $1,000 face value  7.0% semi-annual coupon  Priced to yield 9.0%  Callable at $1,060 in two years  If Ly calculates correctly, the current yield and yield to call are approximately:
  • 14.  Your answer: A was incorrect. The correct answer was B)  To calculate the CY and YTC, we first need to calculate the present value of the bond: FV = 1,000, N = 14 = 7 A—  2, PMT = 35 =(1000 A— 0.07)/2, I/Y = 4.5 (9 / 2), Compute PV = -897.77 (negative sign because we entered the  FV and payment as positive numbers).  Then, CY = (Face value A— Coupon) / PV of bond = (1,000 A— 0.07) / 897.77 = 7.80%.  And finally, YTCA calculation: FV = 1,060 (price at first call), N = 4 (2 A— 2), PMT = 35 (same as above), PV = -  897.77 (negative sign because we entered the FV and payment as positive numbers), ComputeI/Y = 7.91 (semiannual  rate, need to multiply by 2) = 15.82%.
  • 15. PROBLEMA  Randy Harris is contemplating whether to add a bond to his portfolio. It is a semiannual, 6.5% bond with 7 years  to maturity. He is concerned about the change in value due to interest rate fluctuations and would like to know the  bond’s value given various scenarios. At a yield to maturity of 7.5% or 5.0%, the bond’s fair value is closest to
  • 16.  Given a YTM of 7.5%, calculate the value of the bond as follows:  N = 14; I/Y = 7.5/2 = 3.75%; PMT = 32.50; FV = 1,000; CPT → PV = 946.30  Given a YTM of 5.0%, calculate the value of the bond as follows:  N = 14; I/Y = 5/2 = 2.5%; PMT = 32.50; FV = 1,000; CPT → PV = 1,087.68
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  • 31. EMISIÓN DE BONOS TITULIZADOS ESTRUCTURADOS TIANA La mayor parte del capital se deposita en una institución financiera con calificación AAA, en una proporción calculada para que, al sumar los intereses, equivalga por lo menos al 90% del nominal del bono más la prima de las opciones. Una pequeña cantidad del dinero recibido por los compradores de los bonos se invierte en opciones apalancadas sobre acciones, commodities, ETFs o índices de renta fija generados por una institución con grado de inversión. Capital protegido: - Primer Programa: 90%-110% Se prioriza al sector no institucional TIANA -Titulización de Activos con Nominal Asegurado
  • 32. EMISIÓN DE BONOS TITULIZADOS ESTRUCTURADOS TIANA Si un inversionista entrega $1,000 (monto mínimo de inversión), una parte, por ejemplo $900, va a un depósito a plazo fijo en un banco, que al cabo de dos años (vencimiento del bono) valdrá $1,000 (por los intereses ganados). Los $100 restantes se usan para comprar una opción sobre algún instrumento financiero como un ETF (Exchange Traded Fund), una acción o un commodity. El rendimiento de este activo determinará la ganancia del inversor.
  • 33. EMISIÓN DE BONOS TITULIZADOS ESTRUCTURADOS TIANA PRIMER PROGRAMA Primera Emisión Segunda Emisión Tercera Emisión Fecha de Colocación 08/02/2013 19/04/2013 20/09/2013 Monto Colocado S/. 103,160,000 S/. 38,336,000 S/. 23,253,000 Número de Partícipes 322 113 166 Moneda Nuevos Soles Nuevos Soles Nuevos Soles Valor Nominal 1000 1000 1000 Instrumento Subyacente 100% Depósito BCP 100% Depósito BCP 100% Depósito BCP Activo Subyacente JP Morgan ETF Efficiente 5 JP Morgan ETF Efficiente 5 BNP Paribas GURU Global Emerging 6% vol .target Plazo 2 años 2 años 2 años y 3 meses