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steposvetlana [31]
3 years ago
13

RJR Nabisco recently experienced a market reevaluation due to a number of tobacco lawsuits. The firm has a bond outstanding with

15 years to maturity, and a coupon rate of 8%, with interest being paid semiannually. The required yield to maturity has risen to 16%. What is the price of the RJR Nabisco bond?
Business
1 answer:
vova2212 [387]3 years ago
6 0

Answer: The current price of the bond is $258.74

Explanation:

The present value of the bond is its Current Price

We would use the following formua to calculate the Current Price of the bond,

PV = \frac{FV}{(1+r)^{N} } + A [\frac{1-\frac{1}{(1+r)^{N} } }{r} ]

Where,

FV = Face value =  $1,000

A = Coupon payment paid semi annually = (8% x 1000) / 2 = $40

r = Yield to Maturity = 16%

N = Number of periods = 15 years x 2 = 30 semi-annual periods

PV = \frac{1000}{(1+0.16)^{30} } + 40 [\frac{1-\frac{1}{(1+0.16)^{30} } }{0.16} ]

PV = 258.73618

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3 years ago
Your client has been given a trust fund valued at $1.07 million. He cannot access the money until he turns 65 years old, which i
slega [8]

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285 Months

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n = 30 years  × 12 = 360

percent rate = 5.0 % divided by 12 = 0.417.

Now recalling the statement of time value for money,

We have future value = present value × ( 1 + rate) ∧ n

future value = 1, 070,000  × ( 1 + 0.417 )  ∧ 360

future value = 3.33065667 E 60

At age 65, the value 3.33065667 E 60 will be the  present monthly withdrawal at $28,500.

present value of ordinary annuity, = annuity ( 1 - (1 + r) ∧ -n ÷ r

= 3.33065667 E 60  = 28500 (1 - ( 1 + 0.417) ∧ - n ÷ 0.417

= 3.33065667 E 60 ÷ 28500  = (1 - ( 1 + 0.417) ∧ - n ÷ 0.417

1.168651462 E 56 = (1 - ( 1 + 0.417) ∧ - n ÷ 0.417

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Therefore, the number of months it will last one he start to withdraw the money is 285 month

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