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aleksandrvk [35]
3 years ago
8

Assume Merck (MRK) just announced that its next dividend will be $2, paid one year from now (you just missed the prior annual di

vidend). You expect the dividend will grow (after the $2 dividend) by 3% per year forever. Your required return is 10%. What are you willing to pay for a share of Merck stock
Business
1 answer:
Ludmilka [50]3 years ago
8 0

Answer:

$28.57

Explanation:

Current price = D1/(Required return-Growth rate)

D1 (Next dividend) = $2

Required return = 10% = 0.1

Growth rate = 3% = 0.03

Current price = $2/(0.1-0.03)

Current price = $2 / 0.07

Current price = $28.57143

Current price = $28.57

Hence, i will be willing to pay $28.57 for a share of Merck stock.

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Your neighbor Bob has two annuities. The first annuity will pay him $10,000 per month for the next 10 years. The second annuity
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Answer:

$1,643,344.308

Explanation:

These are Ordinary annuities because if it is not mentioned that the payments are made at the <em>beginning </em>of the year which is the case for Annuity Due.

You can use a financial calculator to find the Present value of these two ordinary annuities.

<u> PV of Annuity 1 from (yr1-yr10)</u>

Recurring payment; PMT = 10,000

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<u>PV of Annuity 1 from (yr11-yr20)</u>

This will happen in 2 steps sice it is a forward-starting annuity;

Recurring payment; PMT = 15,000

Total duration ; N = 10 *12 = 120 months

Monthly interest rate in this case ; I/Y = 6%/12 = 0.50%

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Next find the PV of $1,351,101.80  at t=0;

$1,351,101.80 /(1.005^120) = $742,609.7754

Next, find the sum of these two PVs to find the answer;

=$900,734.533 + $742,609.7754

PV = $1,643,344.308

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