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Financial Planning Skills Test, Grade 3 | Practical Yields, NISA, and Equity Metrics Cases

1 / 100.0s

Problem 1

A depositor holds JPY 7 million in an interest-bearing ordinary deposit and JPY 6 million in a time deposit, under the same name at Bank A, which is headquartered in Japan. Both are general deposits; assume there is no settlement deposit, foreign-currency deposit, merger exception, or loan eligible for offset against the deposits.

If Bank A fails, how much principal is protected by Japan's deposit insurance system?

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General deposits are aggregated per depositor at each financial institution, not protected separately by account. Of the JPY 13 million total principal, JPY 10 million is protected, together with interest and similar amounts through the failure date. Holding an ordinary and a time deposit at the same bank does not double the limit.

Problem 2

An investor buys for JPY 980,000 an interest-bearing bond with JPY 1 million face value, a 1% annual coupon, and two years remaining to maturity, then holds it until redemption at JPY 1 million. Ignore taxes, accrued interest, and fees, and use simple interest.

Which is closest to the bond's yield to maturity under this simple-interest convention?

View explanation

Annual interest is 1% of the JPY 1 million face value, or JPY 10,000. The JPY 20,000 redemption gain contributes another JPY 10,000 per year over two years. The yield is therefore (JPY 10,000 + JPY 10,000) / JPY 980,000 × 100, or about 2.04%. Looking only at the 1% coupon omits the gain from buying below face value.

Problem 3

The same issuer has two fixed-rate bonds, A and B, with comparable credit quality, coupons, redemption prices, and other terms. Bond A has two years remaining and B has ten. The holder may sell before maturity. Market interest rates rise sharply just after purchase.

Which statement generally best describes the price movements?

View explanation

When market rates rise, an existing fixed coupon becomes relatively less attractive, so the bond's price falls. All else comparable, ten-year B is more sensitive than two-year A because its lower relative coupon terms persist for longer. Bonds with different credit quality or embedded features cannot be compared on remaining maturity alone.

Problem 4

An investor holds an open-end equity investment trust with an individual principal of JPY 10,000. At distribution, the pre-distribution net asset value is JPY 10,200; after a JPY 500 distribution, it is JPY 9,700. All amounts are per 10,000 units, and no tax-rate calculation is required.

Which combination of distribution components and post-distribution individual principal is most appropriate?

View explanation

The post-distribution NAV of JPY 9,700 is JPY 300 below the JPY 10,000 individual principal, so JPY 300 is a return of capital. The remaining JPY 200 is an ordinary distribution, and subtracting the JPY 300 return of capital reduces the individual principal to JPY 9,700. A distribution is not necessarily all investment profit; a return of capital gives back part of the investor's principal.

Problem 5

In the same year, an investor realizes a JPY 300,000 loss on listed shares in a NISA account and a JPY 300,000 gain on different shares in a specified taxable account. There are no other gains or losses on listed shares or similar assets.

Which treatment of the NISA loss is most appropriate?

View explanation

A NISA loss is disregarded for tax purposes and cannot offset gains in specified or general taxable accounts. It also cannot receive the three-year loss carryforward, so the JPY 300,000 taxable-account gain is not reduced by the NISA loss. NISA's tax exemption and the inability to use its losses against taxable gains must be understood together.

Problem 6

To fund a US-dollar time deposit, a saver buys USD 10,000 at JPY 151 per dollar. At maturity, principal and interest total USD 10,100, all of which is converted back at JPY 146 per dollar. The quoted rates reflect currency conversion charges; ignore taxes.

What is the gain or loss measured in yen?

View explanation

The initial yen outlay is USD 10,000 × JPY 151 = JPY 1,510,000. The maturity proceeds are USD 10,100 × JPY 146 = JPY 1,474,600. The difference is JPY 1,474,600 − JPY 1,510,000 = negative JPY 35,400. Although interest increased the dollar balance by USD 100, yen appreciation and the conversion spread can still produce a yen loss.

Problem 7

A company has a share price of JPY 2,400, earnings per share (EPS) of JPY 200, and book value per share (BPS) of JPY 1,600. Use only these figures to calculate the metrics.

Which combination of PER and PBR is correct?

View explanation

PER is price divided by EPS, so JPY 2,400 / JPY 200 = 12 times. PBR is price divided by BPS, so JPY 2,400 / JPY 1,600 = 1.5 times. PER relates price to earnings, while PBR relates price to book value, so their denominators must not be reversed. Both are multiples, not percentages.

Problem 8

A company reports JPY 200 million of net income, JPY 2 billion of average beginning-and-ending equity, and JPY 80 million of total annual dividends. Assume there are no unusual gains or losses or major changes in equity.

Which combination of ROE and dividend payout ratio is correct?

View explanation

ROE is JPY 200 million of net income divided by JPY 2 billion of average equity, or 10%. The payout ratio is JPY 80 million of dividends divided by JPY 200 million of net income, or 40%. ROE measures profit earned on equity, while the payout ratio measures the share of profit distributed, so their denominators differ.

Problem 9

An investor puts JPY 10,000 into an investment trust on each of four dates when its unit prices are JPY 1,000, JPY 2,000, JPY 500, and JPY 1,000, respectively. Fractional units can be purchased; ignore fees and taxes.

Which statement about total units, average purchase price, and fixed-amount investing is most appropriate?

View explanation

The purchases acquire 10, 5, 20, and 10 units, respectively, for a total of 45. JPY 40,000 divided by 45 is about JPY 889 per unit; it is not the JPY 1,125 arithmetic mean of the four prices. Fixed-amount investing buys more when prices are low, but it does not guarantee profits and can lose money if prices keep falling.

Problem 10

A portfolio begins with JPY 1 million in shares and JPY 1 million in bonds, targeting 50% in each. Shares then rise 30% to JPY 1.3 million, while bonds fall 5% to JPY 950,000. Restore the 50/50 target using trades only, ignoring new money, taxes, and fees.

Which rebalancing trade is most appropriate?

View explanation

The portfolio is now worth JPY 2.25 million, so each 50% target amount is JPY 1.125 million. Shares exceed the target by JPY 175,000 and bonds fall short by the same amount, so sell JPY 175,000 of shares and buy bonds. Rebalancing uses the current total times the target ratio; it does not restore each asset to its original yen amount.